WPC  d fʖ)X3gfpdnBmB<Q8&E&~:`oxʋXt2@̬X! ]/x|9 [sJc>Ⱥ-&S"BŊ$FbU.zMm fc w=.O[3bzj*I(']`iY~$jky]PY5PkDrd_$^oN݂ ,ӈXB6{ &IDXgSTp7 C@hI=T"{`sAlp׏1 )%kЈjmvD^ #FgJQ~&ף| F;9v&Esjį5\88ߤ E*D@I{}ilmVU.B % 0 0+d 0 0 0b 0  0 0 0 06! 0|" 0" 0pR# 0R$U.& 0`B& 0Z' 0Z( 0ZV* 0Z+ 0Z - 0Zd. 0Z/v1 02 D+3:3 04 0=4 AY45#66 0=7 AM7f 8a8U N"8dcp88dx<dBWLoYQp'Q@$yyC|d|Q~d7EdׄQ“d&d7&-]jddةd|oMA EU>Od%dαdu߻TUS* 0D 0Dƽ D3 M=MA AQE\d#dc NdXd&Xi~Md U:Md CM#dfMUNfcaeybdBtd|md|dOwMM#OrdZdY PdZUNZdcdB aMfaacMwdl{MMM BRdEdMMMMfaMfafaM&d) G d e d~ ~ ~ u u dH   ! dD  P dBb d| f " a"" M6" M:" f>" f@" fB" aD" aX" l" d+# U\' Q( a1+ E+ d+ M. U6. / dZ&/ / dY/ dH/ d63 YSE dE E E G TH TH TH >I dI N dQO d T d;W nZ d+g\ b b b "ic dd dj j j %n dro o o h.u dv | dE} } } } } } } } } } } bȁ d'* * * * * Q dЄ ~ dc c c c c c c c c c c c c c c c c c c c By y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y y  n 0fV #! 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METAFILEPICT+n+  3  .1   '&@' & MathType-}a }  TimesB !w*wgwB -2 <minrevek 2 u chipk 2  jhk2 share 2 jhk 2  ihk 2 acre 2 }jck 2 ick 2 fyldkk 2 jyk 2 iyk2 `share 2 wjhk 2 }ihk 2 acre 2 jck 2 ick 2 q!jck 2 #cc 2 $sc 2 %wcTimes4 !w*wgw4  - 2 ICiG 2  N 2 7jG 2 iG 2 oYN 2 ojGPMT Symbol !w*wgwB - 2 v= 2 S"=PMT Symbol !w*wgw4  - 2 I= 2  =PMT Symbol !w*wgwB - 2  2 hTimes4 !w*wgw4  - 2 0 2 65TimesB !w*wgwB - 2 I1 2 1Times4 !w*wgw4  - 2 `.` 2  ( 2 W ) 2 B( 2 ,` 2 ) 2 ( 2 ,` 2 ) 2 ( 2 7,` 2 F ) 2 ( 2 ,` 2 ) 2 *( 2 g,` 2 v) 2 9$,` 2 g%,` 2 &.`TimesB !w*wgwB - 2 (U 2 )U 2 o(U 2 o)U &  "Systemwkf  - Object #0004X Equation.3\ minreve=0.65chip(j)share(j,i)acre(j,i) i=1N(j)  fyld(j,i)share(j,i)acre(j,i) i=1N(j)  j=c,s,w. METAFILEPICT>>X V .1    & & MathTypeP &  Object #0005  Equation\ maxreve=0.75chip(j)share(j,i)acre(j,i) i=1N(j)  fyld(j,i)share(j,i)acre(j,i) i=1N(j)  j=c,s,w. METAFILEPICT<,|<,  :  .1   (&' & MathType-} }c! TimesK $!w*wgwK $ - 2 @max' 2 .a` 2  (a 2  )a 2 (a 2 ,a` 2 !)a 2 L(a 2 ,a` 2 )a 2 (a 2 ,a` 2  )a 2 F(a 2 ,a` 2 )a 2 (a 2 ,a` 2  )a 2 $,a` 2 %,a` 2 '.a`Times !w*wgw - 2 >(U 2 1)U 2 o(U 2 o)UTimesK %!w*wgwK % - 2 reve 2  chipk 2 ^ jk2 share 2 jk 2 ik 2 acre 2 jk 2 ik 2 :fyldkk 2 Qjk 2 W ik2 share 2  jk 2 ik 2 acre 2 jk 2 ik 2 "jk 2  $c 2 c%s 2 &wTimes !w*wgw - 2 IiG 2 {N 2 jG 2 GiG 2 oN 2 o;jGPMT Symbol &!w*wgwK & - 2  = 2 "=PMT Symbol !w*wgw - 2 I+= 2 =PMT Symbol '!w*wgwK ' - 2  2 hTimes !w*wgw - 2 E0 2 A75TimesK (!w*wgwK ( - 2 I1 2 1 &  "SystemwFf  - Object #0006N  Equation.3 minrevwf=0.65chip(j)share(j,i)acre(j,i) i=1N(j)  fyld(j,i) j=c,s,w  share(j,i)acre(j,i) i=1N(j)  j=c,s,w  []h@h@ METAFILEPICT*^*  + .1   &&& & MathType- %Symbol !w*wgw -2 d%2 %2 %2 %2 %2 %2 d` 2 ` 2 ` 2 ` 2 ` 2 ` 2 =Symbol =!w*wgw = -2 W2 We2  2  Symbol !w*wgw -2 m=2 m=2  =2 z= Times New Roman*wgw > -2 mow2 ms2 m c2 m3j2 gj2 gFN2 mi2  w2  s2  c2 H j2 j2 N2 *iTimes New Roman*wgw -2 i2 j 2 bacre2 aic2 ejc 2 9share2 $ih2 #jh 2  fyld2 eiy2 ijy 2 acre2 ic2 jc 2 share2 jh 2 Hchip 2 :minrevwf Times New Roman*wgw ? -2 m*,2 m},2 g)2 g(2 m`12 ? ,2  ,2 f)2 (2 1Times New Roman*wgw -2 S )2 X,2 (2 )2 ,2 (2 ?%)2 D$,2 "(2 )2 ,2 (2 a)2 f,2 (2 8)2 (2 652 z.52 05 & "SystemwfW  - Object #0007F  Equation.3 minrevwf=0.80chip(j)share(j,i)acre(j,i) i=1N(j)  fyld(j,i) j=c,s,w  share(j,i)acre(j,i) i=1N(j)  j=c,s,w  [] METAFILEPICT*^*  + .1   &&& & MathType- %Symbol. F!w*wgw. F -2 d%2 % 2 %2 % 2 %2 % 2 df 2 f  2 f 2 f  2 f 2 f  2 =Symbolt !w*wgwt -2 W2 Wk2  2  Symbol. G!w*wgw. G -2 m=2 m=2  =2 = Times New Roman*wgwt -2 muw2 ms2 mc2 m9j2 gj2 gLN2 mi2  w2  s2 & c2 N j2 j2 N2 0iTimes New Roman*wgw. H -2 i2 j 2 hacre2 gic2 kjc 2 ?share2 $ih2 #jh 2  fyld2 kiy2 ojy 2 acre2 ic2 jc 2 share2 jh 2 Nchip 2 :minrevwf Times New Roman*wgwt -2 m0,i2 m,i2 g)i2 g(i2 mf1i2 E ,i2  ,i2 l)i2 (i2 1iTimes New Roman*wgw. I -2 Y )i2 ^,i2 (i2 )i2 ,i2 (i2 E%)i2 J$,i2 #(i2 )i2 ,i2 (i2 g)i2 l,i2 "(i2 >)i2 (i2 802 z.02 00 & "Systemwf1  - Object #0008  Equation ecover(j)=reve(j)chip(j)share(j,i)acre(j,i) i=1N(j)  fyld(j,i)share(j,i)acre(j,i) i=1N(j)  j=c,s,w. METAFILEPICTN*N*g    .1  @ `&& & & MathTypep "- "- Times New Roman-2 `6ecover 2 `ji 2 mreve 2 mji 2 chipi 2 \ ji2 share 2 ji 2 ii 2 acre 2 Mji 2 Kii 2 vfyldii 2 ji 2 ii2 @ share 2 @ Fji 2 @ Dii 2 @ @acre 2 @ ji 2 @ ii 2 ` ji 2 `"c 2 `#s 2 `$wTimes New Roman#- 2 j iO 2 s N 2 jO 2 X iO 2  N 2 }jOTimes New Roman#- 2 `?( 2 `) 2 m( 2 m) 2 ~ ( 2  ) 2 ( 2 F,` 2 M) 2 o( 2 ,` 2 ) 2 ( 2 ",` 2 )) 2 @ h( 2 @ ,` 2 @ ) 2 @ ( 2 @ 7,` 2 @ >) 2 `8#,` 2 `\$,` 2 `%.`Times New Roman#- 2 [ (` 2 u)` 2  (` 2 )`Symbol- 2 `y= 2 `X!=Symbol- 2 jF = 2 =Symbol- 2   2 A Times New Roman#- 2 j 1 2 O1 &  "System- Object #0009^  Equation coverw=revwfchip(j)share(j,i)acre(j,i) i=1N(j)  fyld(j,i) j=c,s,w  share(j,i)acre(j,i) i=1N(j)  j=c,s,w  METAFILEPICT%|%  :  .1   `"& " & MathType-Z!-:" Times |w|wgw -2 `4coverw2 mbrevwfk 2  chipk 2  jyk2 share 2 0jyk 2 6iyk 2 ;acre 2 jyk 2 iyk 2 fyldkk 2 jyk 2  iyk2 share 2 jyk 2 iyk 2 acre 2 jyk 2 iykTimes q|w|wgw q - 2 yHiyP 2 Ny 2 jjyP 2 yjyP 2 ycy 2 ysyp 2 y wy 2 b iyP 2 iNy 2 jyP 2 b i jyP 2 b cy 2 b ~ syp 2 b TwyPMT Symbol |w|wgw - 2 `=yPMT Symbol r|w|wgw r - 2 y=y 2 y=y 2 b *=y 2 b =yPMT Symbol |w|wgw - 2 ?y 2 y 2  y 2  ` yTimes s|w|wgw s - 2  (y 2 e)y 2 l(y 2 ,y` 2 )y 2 (y 2  ,y` 2 /)y 2 $(y 2 a ,y` 2 p!)y 2 (y 2 ,y` 2 *)y 2 U(y 2 ,y` 2 )yTimes |w|wgw  - 2 (y` 2 )y` 2 yQ,yH 2 y' ,yH 2 B(y` 2 L)y` 2 b ! ,yH 2 b ,yH 2 yV1y 2 b 1y &  "Systemw f   - Object #00106 Equation rate(j,i)=hriskrateou(j,i)0.9,i=1,...,N(j);j=c,s,w. METAFILEPICT!'!'4   .1  #&@# & MathTypeP Times U|w|wgw U - 2 `7ratek 2 `djyk 2 `jiyk2 `hriskk2 ` rateouk 2 `jyk 2 `iyk 2 `iyk 2 `Ny 2 `jyk 2 `hjyk 2 `cy 2 ` sy 2 `!wyTimes@ |w|wgw@  - 2 `(y 2 `,y` 2 `)y 2 `(y 2 `,y` 2 `()y 2 `$.y` 2 `!,y` 2 `7,y` 2 `.y` 2 `$.y` 2 `.y` 2 `,y` 2 `(y 2 `);k 2 `0 ,;` 2 `^!,;` 2 `".;`PMT Symbol V|w|wgw V - 2 `=; 2 `W ;` 2 `;` 2 `=; 2 `J=;Times@ |w|wgw@  - 2 `v0; 2 `i9; 2 `1; &  "Systemw fY  - Object #0011: Equation| premr(j,i)=beta(j,0)+beta(j,1)rate(j,i)+beta(j,2)rate(j,i) 2 +beta(j,3)cover(j)+beta(j,4)cover(j) 2 +beta(j,5)fyld(j,i)yldR05(j)+beta(j,6)(fyld(i,j)yldR05(j)) 2 +beta(j,7)cvp(j)+beta(j,8)cvp(j) 2 +beta(j,9)rate(j,i)cover(j)+beta(j,10)rate(j,i)fyld(j,i)yldR05(j)+beta(j,11)rate(j,i)cvp(j)+beta(j,12)cover(j)fyld(j,i)yldR05(j)+beta(j,13)cover(j)cvp(j)+beta(j,14)fyld(j,i)yldR05(j)cvp(j)i=1,...,N(j);j=c,s,w.UFVr ] METAFILEPICTn:]xn:    .1  5&4I & MathType0-"(+"2 TimesB Q!w*wgwB Q -2 \premr 2 jrk 2 irk 2  jrk 2 jrk 2 ratek 2 jak 2 iak 2 ~jak 2  ratek 2 #jak 2 $iak 2 T+jak2 Y-cover 2 |1jok 2 jok2 cover 2  jok 2 ojok 2 mfyldkk 2 jyk 2 iyk 2 yldRk 2 jlk 2 jlk 2 7#fyldkk 2 &iyk 2 J'jyk 2 "yldRk 2 'jlk 2 .jlk 2 0cvp 2 3jvk 2 @ jvk 2 @ cvp 2 @ jvk 2 @ jvk 2 @ 3ratek 2 @ `jak 2 @ fiak2 @ 4cover 2 @ Wjok 2 @ ##jok 2 @ %ratek 2 @ )jak 2 @ *iak 2 M,fyldkk 2 M/jyk 2 M0iyk 2 g ,yldRk 2 g 1jlk 2 jlk 2 Cratek 2 p jak 2 v iak 2 DcvpTimesd !w*wgwd - 2 ( 2 M,` 2 \)2 beta(k 2 < ,e` 2 h )e2 ebeta(k 2 !,e` 2  )e 2 (e 2 /,e` 2 >)e2 ;beta(k 2 ,e` 2 # )e 2  #(e 2 H$,e` 2 W%)e2 (beta(k 2 +,e` 2 ,)e 2 0(e 2 2)e2 _beta(k 2 ,e` 2 G)e 2 " (e 2 r )e2 ,beta(k 2 ,e` 2 )e 2 (e 2 ,e` 2  )e 2 (e 2 e)e2 beta(k 2 > ,e` 2 j!)( 2 %(( 2 &,(` 2 ')( 2 &(( 2 /()( 2 ()(2 +beta(k 2 M/,e` 2 y0)e 2 3(e 2 V4)e2 @ _beta(k 2 @ ,e` 2 @ >)e 2 @ (e 2 @  )e2 @ beta(k 2 @ ,e` 2 @ )e 2 @ (e 2 @ ,e` 2 @ )e 2 @ (e 2 @ )e2 @ beta(k 2 @ #,e` 2 @ b%)e 2 @ J((e 2 @ ),e` 2 @ *)e 2 M.(e 2 M00,e` 2 M?1)e 2 g H0(e 2 g 1)e2 _beta(k 2 ,e` 2 )e 2 (e 2 ,e` 2 )e 2 U(ePMT Symbol R!w*wgwB R - 2 := 2 3+ 2  + 2 &+ 2 -+ 2  + 2 P+ 2 _*+ 2 @ -+ 2 @ + 2 @ ` 2 @ + 2 @ J+` 2 -+ 2 `Timesd !w*wgwd - 2  0 2 \1 2 X2 2 %,3 2 |4 2 @5 2 05 2  65 2 q%05 2 /75 2 @ s85 2 @ 95 2 @ #10 2 g .05 2 V11TimesB S!w*wgwB S - 2 %2 2 J 2 2 Jc)2 2  2' 3 ' g&q}q Timesd !w*wgwd - 2 jk 2 qjk2 ,cover 2 Ojok 2 fyldkk 2 #jyk 2 %iyk 2 ] yldRk 2 Q%jlk 2 jlk2 Jcover 2 m jok 2 Ecvp 2 jvk 2 jvk 2 /fyldkk 2 Fjyk 2 Liyk 2 yldRk 2 jlk 2 !cvp 2 h$jvk 2 >&ivk 2 B+Nv 2 -jvk 2 .jvk 2 1cv 2 W2sv 2 3wvTimesB T!w*wgwB T - 2 )2 .beta(k 2 ,` 2 ) 2 ( 2 ) 2 8#( 2 u$,` 2 %) 2 $( 2 %)2 _beta(k 2 ,` 2 ) 2  ( 2  ) 2 V( 2 )2 beta(k 2 _,` 2 %) 2 ( 2 ,` 2 ) 2 ( 2 ' ) 2 #( 2 $) 2 (,` 2 G).` 2 ).` 2 !*.` 2 *,` 2 Y,( 2 -);k 2 1,;` 2 2,;` 2 4.;`PMT Symbol !w*wgwd - 2 + 2 ` 2 -+ 2  ` 2 q+ 2 ` 2  ` 2 '= 2 /=TimesB U!w*wgwB U - 2 %12 2 #05 2 V13 2 14 2 i05 2 ,(15 &  "SystemwKf  - Object #0012 Equation LP(j,i)=premr(j,i)revb(j,i),i=1,...,N(j);j=c,s,w. METAFILEPICT&&4 R  .1  @#&# & MathTypeP Times New Roman- 2 `JLP 2 `ji 2 `ii2 `premr 2 `N ji 2 `V ii 2 `"revb 2 `ji 2 `ii 2 `9ii 2 `6N 2 `?ji 2 `0ji 2 `Jc 2 ` s 2 `!wTimes New Roman#- 2 `( 2 `[,` 2 `l) 2 `p ( 2 ` ,` 2 ` ) 2 `( 2 `,` 2 `&),` 2 `,` 2 `>.` 2 `.` 2 `.` 2 `,` 2 `a( 2 `);i 2 `,` 2 `&!,` 2 `".`Symbol- 2 `J= 2 ` ` 2 ` = 2 `=Times New Roman#- 2 `#1 &  "System- Object #0013B Equation LP(j,i)=premr(j,i)PP65(j)revb(j,i),i=1,...,N(j);j=c,s,w.M METAFILEPICTz-z-4   .1  @)&) & MathTypeP Times New Roman- 2 `JLP 2 `ji 2 `ii2 `premr 2 `N ji 2 `V ii 2 `6PP 2 `\ji 2 `2revb 2 `ji 2 `ii 2 `Iii 2 `FN 2 `O!ji 2 `@#ji 2 `Z%c 2 `&s 2 `'wTimes New Roman#- 2 `( 2 `[,` 2 `l) 2 `p ( 2 ` ,` 2 ` ) 2 `~( 2 `) 2 `( 2 `%,` 2 `6),` 2 `,` 2 `N.` 2 `.` 2 `(.` 2 `,` 2 `q ( 2 `!);i 2 `&,` 2 `6',` 2 `(.`Symbol- 2 `J= 2 ` ` 2 `` 2 `= 2 `$=Times New Roman#- 2 `65 2 `31 &  "System- Object #0014B Equation LP(j,i)=premr(j,i)PP70(j)revb(j,i),i=1,...,N(j);j=c,s,w. METAFILEPICT--4   .1  `)& ) & MathTypeP Times New Roman- 2 `JLP 2 `ji 2 `ii2 `premr 2 `N ji 2 `V ii 2 `6PP 2 `fji 2 `<revb 2 `ji 2 `ii 2 `Sii 2 `PN 2 `Y!ji 2 `J#ji 2 `d%c 2 `&s 2 `'wTimes New Roman#- 2 `( 2 `[,` 2 `l) 2 `p ( 2 ` ,` 2 ` ) 2 `( 2 `) 2 `( 2 `/,` 2 `@),` 2 `,` 2 `X.` 2 `.` 2 `2.` 2 `,` 2 `{ ( 2 `!);i 2 `&,` 2 `@',` 2 `(.`Symbol- 2 `J= 2 ` ` 2 `` 2 `'= 2 `($=Times New Roman#- 2 `70 2 `=1 &  "System- Object #0015 Equation TLP(j,i)=LP(j,i)acre(j,i)share(j,i),i=1,...,N(j);j=c,s,w. METAFILEPICT,,4   .1  (&@( & MathTypeP Timesa !w*wgwa - 2 `4TLP 2 `jLk 2 `iLk 2 `DLP 2 ` jPk 2 ` iPk 2 ` acre 2 `jck 2 `ick2 `share 2 `jhk 2 `ihk 2 `ihk 2 `Nh 2 ` jhk 2 `v"jhk 2 `$ch 2 `%sh 2 `'whTimesz !w*wgwz - 2 `( 2 `,` 2 `) 2 ` ( 2 `@ ,` 2 `O ) 2 `J( 2 `,` 2 `) 2 `;( 2 `x,` 2 `),` 2 `E,,` 2 `.,` 2 `2.,` 2 `.,` 2 `,,` 2 `(, 2 `'!);k 2 `>%,;` 2 `l&,;` 2 `'.;`PMT Symbol !w*wgwa - 2 `= 2 ` ` 2 `J` 2 `= 2 `X#=Timesz !w*wgwz - 2 `1 &  "Systemw%f  - Object #0016 Equation TLP(c,i)=1.22LP(c,i)acre(c,i)share(c,i),i=1,...,N(c)ve Audio DriverGETD@ METAFILEPICT''4 g  .1  `#& # & MathTypeP Times New Roman- 2 `-TLP 2 `Rc 2 `ii 2 `[ LP 2 ` c 2 ` ii 2 `acre 2 `c 2 `ii2 `share 2 `c 2 `ii 2 `gii 2 ` N 2 `!cTimes New Roman#- 2 `( 2 `,` 2 `) 2 `x.` 2 ` ( 2 `X ,` 2 `_ ) 2 `=( 2 `|,` 2 `) 2 `( 2 `W,` 2 `^),` 2 `,` 2 `N.` 2 `.` 2 `.` 2 `,` 2 `I!( 2 `")Symbol- 2 `= 2 ` ` 2 `-` 2 `1=Times New Roman#- 2 `1 2 `22 2 `=1 &  "System- Object #0017 Equation TLP(s,i)=1.30LP(s,i)acre(s,i)share(s,i),i=1,...,N(s) METAFILEPICTs&s&4 g  .1  "&" & MathTypeP Times New Roman- 2 `-TLP 2 `\s 2 `vii 2 `? LP 2 ` s 2 ` ii 2 `jacre 2 `s 2 `ii2 `share 2 `qs 2 `ii 2 `ii 2 `N 2 `!sTimes New Roman#- 2 `( 2 `,` 2 `) 2 `e.` 2 ` ( 2 `) ,` 2 `0 ) 2 `( 2 `:,` 2 `A) 2 `( 2 `,` 2 ` ),` 2 `,` 2 `.` 2 `\.` 2 `.` 2 `,,` 2 ` ( 2 `3")Symbol- 2 `= 2 ` ` 2 `` 2 `=Times New Roman#- 2 `1 2 `30 2 `1 &  "System- Object #0018 Equation TLP(w,i)=1.22LP(w,i)acre(w,i)share(w,i),i=1,...,N(w)D@0@0@ METAFILEPICT((4 g  .1  %&$ & MathTypeP Times New Roman- 2 `-TLP 2 `\w 2 `ii 2 ` LP 2 ` w 2 ` ii 2 `Gacre 2 `w 2 ` ii2 `share 2 `w 2 `<ii 2 `ii 2 `z!N 2 `@#wTimes New Roman#- 2 `( 2 `W,` 2 `^) 2 `.` 2 `p ( 2 ` ,` 2 ` ) 2 `( 2 `,` 2 `) 2 `( 2 `,` 2 `),` 2 `4,` 2 `.` 2 ` .` 2 `p .` 2 ` ,` 2 `"( 2 `N$)Symbol- 2 `2= 2 `` 2 `2` 2 `=Times New Roman#- 2 `>1 2 `22 2 `1 &  "System- Object #0019v  Equation\ avgrate(j)=share(j,i)acre(j,i) i=1N(j)  rate(j,i)share(j,i)acre(j,i) i=1N(j)  j=c,s,w.00 METAFILEPICT5%5%    .1   !&! & MathType-}B}( Times (!w*wgw ( -2 ;avgratek 2 jvk2 r sharet 2 jhk 2 ihk 2 acre 2 jck 2 ick 2 ratek 2 jak 2 iak2  share 2 jhk 2 ihk 2 acre 2 jck 2 ick 2 jck 2 cc 2 sc 2 / wcTimes !w*wgw - 2 IiG 2 kN 2  jG 2 Q iG 2 o N 2 oE jGTimes )!w*wgw ) - 2 ( 2 ) 2  ( 2 ,` 2 ) 2 <( 2 y,` 2 ) 2 R( 2 ,` 2 ) 2 P( 2 ,` 2 ) 2 ( 2 ,` 2 ) 2 i,` 2 ,` 2 )!.`Times !w*wgw - 2 . (U 2 ! )U 2 o (U 2 o )UPMT Symbol *!w*wgw * - 2 = 2 =PMT Symbol !w*wgw - 2 I = 2  =PMT Symbol +!w*wgw + - 2  2 h# Times !w*wgw - 2 I 1 2 # 1 &  "Systemwf?  - Object #0020 Equation@ efyld(j)=share(j,i)acre(j,i) i=1N(j)  fyld(j,i)share(j,i)acre(j,i) i=1N(j)  j=c,s,w. METAFILEPICT#&#y    .1   &@ 0 & MathType0 "- Times New Roman-2 6efyldii 2 ji2  share 2 3 ji 2 1ii 2 -acre 2 ji 2 ii 2 fyldii 2 ji 2  ii2 u share 2 uji 2 uii 2 uacre 2 u_ji 2 u]ii 2 ji 2 c 2 s 2  wTimes New Roman#- 2 EiO 2 (N 2 (jjO 2 * iO 2  N 2  jOTimes New Roman#- 2 8( 2 ) 2 U ( 2  ,` 2 ) 2 ( 2 $,` 2 +) 2 1( 2 ,` 2 ) 2 u( 2 uX,` 2 u_) 2 u( 2 u,` 2 u) 2 R,` 2 v,` 2 .`Times New Roman#- 2 ((` 2 ()` 2 m (` 2  )`Symbol- 2 r= 2 r=Symbol- 2 = 2 * X =Symbol- 2 7. 2  Times New Roman#- 2 <1 2 * 1 &  "System- Object #00214 Equation@ erate(c)=avgrate(c)(1-(nsect(c)-1)0.49) if  nsect(c)10,else  erate(c)=0.6avgrate(c) METAFILEPICTr*cr*   .1  &&@& & MathTypeP "-8 Times New Roman-2 X6eratei 2 Xc2 Xavgratei 2 X c2 Xnsecti 2 Xbc2 X.nsecti 2 X!c2 _Geratei 2 _c2 _i avgratei 2 _cTimes New Roman#- 2 XC( 2 X) 2 X( ( 2 Xz ) 2 X ( 2 X( 2 X( 2 X#) 2 X) 2 e.` 2 X5) 2 XT!( 2 X") 2 X%,` 2 _T( 2 _) 2 _Z .` 2 _( 2 _H)Symbol- 2 Xi= 2 X$ ` 2 X- 2 X- 2 Xs# 2 _z=Times New Roman#- 2 X1 2 X1 2 eN0 2 eJ4 2 9 2 Xz$10 2 _ 0 2 _ 62 X% if `i``2 _6else i`` &  "System- Object #00224 Equation@ erate(s)=avgrate(s)(1-(nsect(s)-1)0.59) if  nsect(s)10,else  erate(s)=0.5avgrate(s) METAFILEPICT*c*   .1   &&% & MathTypeP "- Times New Roman-2 X6eratei 2 Xs2 Xavgratei 2 X s2 Xnsecti 2 XFs2 Xnsecti 2 X!s2 _Geratei 2 _s2 _C avgratei 2 _ksTimes New Roman#- 2 XC( 2 X) 2 X ( 2 XT ) 2 X ( 2 X( 2 X( 2 X) 2 XO) 2 e.` 2 X) 2 X!( 2 XG") 2 X%,` 2 _T( 2 _) 2 _G .` 2 _( 2 _)Symbol- 2 XV= 2 X ` 2 X- 2 X- 2 X# 2 _g=Times New Roman#- 2 X 1 2 X1 2 e0 2 e5 2 9 2 X$10 2 _ 0 2 _ 52 X if `i``2 _6else i`` &  "System- Object #00234 Equation@ erate(w)=avgrate(w)(1-(nsect(w)-1)0.59) if  nsect(w)10,else  erate(w)=0.5avgrate(w) METAFILEPICT+c+   .1  '&' & MathTypeP "-=  Times New Roman-2 X6eratei 2 Xw2 Xavgratei 2 X w2 XYnsecti 2 Xw2 X nsecti 2 X"w2 _Geratei 2 _w2 _ avgratei 2 _wTimes New Roman#- 2 XC( 2 X) 2 X ( 2 X( ) 2 XY( 2 X( 2 X( 2 X() 2 X) 2 e.` 2 X') 2 XF"( 2 X#) 2 X;',` 2 _T( 2 _) 2 _ .` 2 _:( 2 _)Symbol- 2 X= 2 X ` 2 X- 2 X- 2 X$ 2 _=Times New Roman#- 2 X1 2 X1 2 eS0 2 eF5 2 9 2 X%10 2 _ 0 2 _ 52 X if `i``2 _6else i`` &  "System- Object #0024 Equation< epremr(j)=beta(j,0)+beta(j,1)erate(j)+beta(j,2)erate(j) 2 +beta(j,3)ecover(j)+beta(j,4)ecover(j) 2 +beta(j,5)efyld(j)yldR05(j)+beta(j,6)(efyld(j)yldR05(j)) 2 +beta(j,7)cvp(j)+beta(j,8)cvp(j) 2 +beta(j,9)erate(j)ecover(j)+beta(j,10)erate(j)efyld(j)yldR05(j)+beta(j,11)erate(j)cvp(j)+betac(j,12)ecover(j)efyld(j)yldR05(j)+betac(j,13)ecover(j)cvp(j)+beta(j,14)efyld(j)yldR05(j)cvp(j),j=c,s,w.5) METAFILEPICTA;]LA;    .1  5&5I & MathType0-d.#b)+2 Times !w*wgw -2 3epremr 2 Ujpk 2 H jpk 2 -jpk2  eraterk 2 jrk 2 jrk2 eraterk 2 #jrk 2 -*jrk2 1,ecover 2 0jck 2 jck2 ecover 2  jck 2 jck2 efyldrkk 2 jfk 2 yldRk 2 jlk 2 n jlk2 #efyldkk 2 'jfk 2 X#yldRk 2 L(jlk 2 }/jlk 2 1cvp 2 s4jvk 2 @ jvk 2 @ cvp 2 @ jvk 2 @ jvk2 @ /eratek 2 @ jrk2 @ ecover 2 @ jck 2 @ v#jck2 @ 0&eraterk 2 @ *jrk2 M,efyldrkk 2 Md0jfk 2 g ,yldRk 2 g 1jlk 2 jlk2 ?eratek 2  jrk 2 cvp 2 jvk 2 jvk2 ecover 2 Ljck2 !efyldrkk 2 %jfkTimes !w*wgw - 2 ( 2 )2 beta(k 2  ,e` 2  )e2 beta(k 2 ,e` 2 )e 2 (e 2 m)e2 jbeta(k 2 &,e` 2 R)e 2 "(e 2 0$)e2 &beta(k 2 *,e` 2 +)e 2 :0(e 2 1)e2 _beta(k 2 ,e` 2 G)e 2  (e 2  )e2 beta(k 2 ,e` 2 )e 2 (e 2 i)e 2 (e 2 )e2 +beta(k 2  ,e` 2 ")( 2 &(( 2 3()( 2 '(( 2 ()( 2 ))(2 :,beta(k 2 /,e` 2 "1)e 2 3(e 2 4)e2 @ _beta(k 2 @ ,e` 2 @ >)e 2 @ (e 2 @  )e2 @ beta(k 2 @ ,e` 2 @ )e 2 @ B(e 2 @ )e 2 @ (e 2 @ 6)e2 @ 3 beta(k 2 @ #,e` 2 @ %)e 2 @ C)(e 2 @ *)e 2 M/(e 2 M0)e 2 g E0(e 2 g 1)e2 _beta(k 2 ,e` 2 )e 2 R (e 2 )e 2 (e 2 O)e2 betac(k 2 >,e` 2 )e 2 (e 2 )e 2 $(ePMT Symbol !w*wgw - 2 = 2  + 2 8+ 2 %+ 2 -+ 2 + 2 + 2 ++ 2 @ -+ 2 @ + 2 @ F` 2 @ + 2 @ G+` 2 -+ 2 V ` 2 + 2 `Times !w*wgw - 2 " 0 2 1 2 2 2 *3 2 |4 2 5 2 P05 2 H!65 2 &05 2 W075 2 @ s85 2 @ 95 2 @ *$10 2 g .05 2 V11 2 y12Times !w*wgw - 2 $2 2 J 2 2 J *2 2  2' 0!' d'q\q"Times !w*wgw - 2 5&) 2 %( 2 &)2 _betac(k 2 ,e` 2 x)e 2  (e 2 L)e 2 (e 2 )e2 beta((k 2 >,e` 2 )e 2  (e 2 a!)e 2  (e 2 ")e 2 %(e 2 &),` 2 *,,` 2 ,,,` 2 -.,`Times !w*wgw - 2 Z!yldRk 2 N&jk 2 Ljk2 ecover 2  jk 2 cvpv 2 mjk 2 jk2 efyldkk 2  jk 2 yldRk 2 z!jk 2 r#cvpR 2 G&jk 2 (jk 2 5*c 2 x+s 2 ,wTimes !w*wgw - 2 $05 2 13 2 y14 2 H05PMT Symbol !w*wgw - 2 -+ 2 ` 2 P+ 2 ` 2 "` 2 (= &  "Systemwf  - Object #0025 Equation LEP(j)=epremr(j)reve(j),j=c,s,w. METAFILEPICTl2l4   .1  & & MathTypeP Times New Roman- 2 `JLEP 2 `ji2 `qepremr 2 ` ji 2 ` reve 2 `ji 2 `ji 2 `c 2 `@s 2 `nwTimes New Roman#- 2 `( 2 `W) 2 ` ( 2 `: ) 2 `( 2 `{),` 2 `,` 2 `,` 2 `_.`Symbol- 2 `5= 2 ` ` 2 `= &  "System- Object #0026< Equation LEP(j)=epremr(j)PP65(j)reve(j),j=c,s,w.d(j)yldR METAFILEPICT!:!4   .1  &@ & MathTypeP Times !w*wgw  - 2 `LLEP 2 `jEk2 `\epremr 2 `~ jpk 2 `h PP 2 `wjPk 2 `Rreve 2 `jek 2 `zjek 2 `ce 2 `se 2 `weTimes< !w*wgw< - 2 `( 2 `E) 2 ` ( 2 ` ) 2 `( 2 `) 2 `( 2 `4),` 2 `B,,` 2 `p,,` 2 `.,`PMT Symbol !w*wgw  - 2 `#= 2 ` ` 2 `` 2 `\=Times< !w*wgw< - 2 `E65 &  "Systemwf  - Object #0027< Equation LEP(j)=epremr(j)PP70(j)reve(j),j=c,s,w. METAFILEPICT!:!   .1  &@ & MathTypeP Times New Roman*wgw 9 - 2 @XLEP 2 @jEk2 @mepremr 2 @ jpk 2 @ PP 2 @jPk 2 @freve 2 @jek 2 @jek 2 @ce 2 @se 2 @weTimes New Roman*wgw D - 2 @(~ 2 @_)~ 2 @ (~ 2 @$ )~ 2 @(~ 2 @,)~ 2 @(~ 2 @I),~` 2 @C,,` 2 @i,,` 2 @.,`Symbol :!w*wgw : - 2 @?= 2 @ ` 2 @` 2 @g=Times New Roman*wgw E - 2 @b70 & "Systemwf,  - Object #0028| Equation TLEP(j)=LEP(j)(acre(j,i)share(j,i) i=iN(j)  )j=c,s,w.@X@ METAFILEPICT|%N|%`   .1  "&! & MathType Times New Roman- 2 -TLEP 2 ji 2 >LEP 2  ji 2 aacre 2 ji 2 ii2 share 2  ji 2 (ii 2 ji 2 c 2 ^s 2  wTimes New Roman#- 2  iO 2 iO 2 2 N 2 jOTimes New Roman#- 2 ( 2 ) 2  ( 2 K ) 2  ( 2 ( 2 X,` 2 i) 2 B( 2 ,` 2 ) 2 .) 2 ,` 2 ,` 2 }!.`Times New Roman#- 2 (` 2 4)`Symbol- 2 = 2  ` 2 =Symbol- 2  =Symbol- 2 7  &  "System- Object #0029  Equation| perlia(j)=minrev(j)acre(j,i)share(j,i) i=1N j  minrev(j) j=13  acre(j,i)share(j,i) i=1N j  j=c,s,w. METAFILEPICT&m&    .1   #&"0 & MathType-ft Times |w|wgw -2 \perliakk 2 jyk2 4Aminrevk 2 40 jyk 2 4acre 2 4jyk 2 4iyk2 4share 2 4jyk 2 4iyk2 3f minrev(j)k~k| 2 3acre 2 3Ajyk 2 3Giyk2 3Kshare 2 3bjyk 2 3hiyk 2 jyk 2  cy 2 L sy 2 {!wyTimes |w|wgw  - 2 EiyP 2 (ONy 2 jyP 2 iyP 2 ' NyTimes |w|wgw - 2 pIjyY 2 ojyYTimes |w|wgw  - 2 (y 2 B)y 2 4l (y 2 4 )y 2 4(y 2 4,y` 2 4 )y 2 4(y 2 4,y` 2 4,)y 2 3}(y 2 3,y` 2 3)y 2 3(y 2 3,y` 2 3)y 2 ,y` 2  ,y` 2 u".y`PMT Symbol |w|wgw  - 2  =y 2 =yPMT Symbol |w|wgw - 2 =y 2 =y 2 s=yPMT Symbol |w|wgw  - 2 <y 2 y 2 yTimes |w|wgw - 2 S1y 2 1y 2 3y 2 1y &  "Systemwf   - Object #0030 Equation@  2` METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0031 Equation@  2` METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0032 Equation@  2` METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0033 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0034 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0035 Equation@  3D  METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 423 &  "System- Object #0036 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0037 Equation@  3D  METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 423 &  "System- Object #0038 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0039 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0040 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0041 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0042 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0043 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0044 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0045 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0046 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0047 Equation@  3 METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 423 &  "System- Object #0048 Equation@  3 METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 423 &  "System- Object #0049 Equation@  3 METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 423 &  "System- Object #0050 Equation@  3  METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 423 &  "System- Object #0051 Equation@  3 METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 423 &  "System- Object #0052 Equation@  3D  METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 423 &  "System- Object #0053 Equation@  3 METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 423 &  "System- Object #0054 EquationT  3 $ F$ F F METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 423 &  "System- Object #0055 Equation@  3 METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 423 &  "System- Object #0056 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0057 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0058 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0059 Equation@  3 METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 423 &  "System- Object #0060 Equation@  3 METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 423 &  "System- Object #0061 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0062 Equation@  2 METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0063 Equation@  2 METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0064 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0065 Equation@  2 METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0066 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0067 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0068 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0069 Equation@  2 METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0070 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0071 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0072 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0073 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0074 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0075 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0076 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0077 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0078 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0079 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0080 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0081 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0082 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0083 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0084 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0085 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0086 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0087 Equation@  2. METAFILEPICT0X   .1   & & MathType  Times New Roman- 2 492 &  "System- Object #0088 Equation epremrw(j)=beta(j,0)+beta(j,1)erate(j)+beta(j,2)erate(j) 2 +beta(j,3)coverw+beta(j,4)coverw 2 +beta(j,5)efyld(j)yldR05(j)+beta(j,6)(efyld(j)yldR05(j)) 2 +beta(j,7)cvp(j)+beta(j,8)cvp(j) 2 +beta(j,9)erate(j)coverw+beta(j,10)erate(j)efyld(j)yldR05(j)+beta(j,11)erate(j)cvp(j)+betac(j,12)coverwefyld(j)yldR05(j)+betac(j,13)coverwcvp(j)+beta(j,14)efyld(j)yldR05(j)cvp(j),j=c,s,w. METAFILEPICT9]B9    .1  @4&4I & MathType0-"!'u*0' ' % Times !w*wgw -2 3epremrw 2 Mjpk 2 @ jpk 2 %jpk2 eraterk 2 jrk 2 jrk2  eraterk 2 $jrk 2 %+jrk2 *-coverw 2 jok2 coverw 2 jok2 efyldwkk 2 gjfk 2 yldRk 2  jlk 2 jlk2 p"efyldkk 2 1&jfk 2 !yldRk 2 &jlk 2 .jlk 2 (0cvp 2 2jvk 2 @ jvk 2 @ cvp 2 @ jvk 2 @ jvk2 @ /eratek 2 @ jrk2 @ coverw 2 @ "jok2 @ $eratewk 2 @ (jrk2 M-+efyldwkk 2 M.jfk 2 g *yldRk 2 g /jlk 2 jlk2 ?eratek 2  jrk 2 cvp 2 jvk 2 jvk2 coverw2 r efyldwkk 2 3$jfk 2 yldRk 2 $jlk 2 LjlkTimes_ )e 2 @ (e 2 @  )e2 @ beta(k 2 @ ,e` 2 @ )e 2 @ B(e 2 @ )e2 @ beta(k 2 @ y",e` 2 @ ?$)e 2 @ '(e 2 @ ))e 2 M*.(e 2 Mz/)e 2 g .(e 2 g 0)e2 _beta(k 2 ,e` 2 )e 2 R (e 2 )e 2 (e 2 O)e2 betac(k 2 >,e` 2 )e 2 o#(e 2 $)e 2 $(e 2 d%)e2 _betac(k 2 ,e`PMT Symbol !w*wgw - 2 = 2 + 2 0+ 2 &+ 2 -+ 2 - + 2 + 2 )+ 2 @ -+ 2 @ + 2 @ F` 2 @ + 2 @ )` 2 -+ 2 V ` 2 + 2 ` 2 -+Times_ =!w*wgw_ = - 2  0 2 1 2 2 2 +3 2 |4 2 s5 2 05 2 65 2 $05 2 .75 2 @ s85 2 @ 95 2 @ "10 2 g a-05 2 V11 2 y12 2 "05 2 13Times !w*wgw - 2 %2 2 J1 2 2 J(2 2  2qq!Times_ >!w*wgw_ > - 2 x) 2 3( 2 )2  beta(k 2 ,e` 2 )e 2 (e 2 )e 2 @(e 2  )e 2  $(e 2 ]%),` 2 k),,` 2 *,,` 2 +,.,`Times !w*wgw -2 coverw 2 "cvpe 2 jk 2 Ojk2 efyldkk 2 _jk 2 yldRk 2  jk 2 !cvpR 2 $jk 2 &jk 2 (c 2 *s 2 1+wPMT Symbol ?!w*wgw_ ? - 2  ` 2 + 2 B` 2 d!` 2 '=Times !w*wgw - 2 14 2 05 &  "SystemwYf9  - Object #0089  Equation| wfpremre=(epremrw(j)(acre(j,i)share(j,i) i=iN(j)  )) j=c,s,w  /(acre(j,i)share(j,i) i=iN(j)  j=c,s,w  ) METAFILEPICT::`   .1  5&@5 & MathType Times 6!w*wgw 6 -2 ;wfpremrek2  epremrwe 2 jpk 2 dacre 2 jck 2 ick2 share 2 jhk 2 ihk 2 1)acre 2 ,jck 2 -ick2 .share 2 2jhk 2 3ihkTimes J!w*wgw J - 2 UiG 2 UiG 2 \N 2 jG 2 UHjG 2 U8 cq 2 U sc 2 U w 2 U'iG 2 Uo(iG 2 )'N 2 x(jG 2 U#jG 2 U$cq 2 Ux%sc 2 U*&wPMT Symbol 7!w*wgw 7 - 2 _=PMT Symbol K!w*wgw K - 2 U= 2 U= 2 U'= 2 U$$=PMT Symbol 8!w*wgw 8 - 2  2  2 V' 2 s$Times L!w*wgw L - 2 ( 2 ( 2 8)( 2  (( 2 I,(` 2 X)( 2 -(( 2 j,(` 2 y )( 2 !)) 2 O"/)k 2 #() 2 +() 2 -,)` 2 %.)) 2 1() 2 73,)` 2 F4)) 2 4))Times 9!w*wgw 9 - 2 (U 2 )U 2 U ,@ 2 Ue ,@ 2 '(U 2 ()U 2 U5%,@ 2 U%,@ &  "Systemwf  - Object #0090 Equation wfpremr=max(wfpremr,minratefactor*wfpremre) METAFILEPICTj#j#4 r  .1   & & MathTypeP Times |w|wgw -2 `;wfpremrk2 `/ wfpremrk2 ` minratefackkk 2 `tork2 `wfpremrekPMT Symbol |w|wgw - 2 `=yTimes |w|wgw - 2 `max(' 2 `M,y` 2 `*y 2 `[)y &  "Systemwf   - Object #0091 Equation\ LWFP=wfpremrrevwf METAFILEPICT::4   .1  &` & MathTypeP Times |w|wgw  - 2 `LLWFP@2 `wfpremrk2 ` revwfkPMT Symbol C|w|wgw C - 2 `=y 2 `< y` &  "Systemws f  - Object #0092t  Equation LWFP=wfpremrrevwf(PP65(j)(acre(j,i)share(j,i) i=iN(j)  ) j=c,s,w  )/acre(j,i)share(j,i) i=iN(j)  j=c,s,w Q METAFILEPICT.m.  E  .1   )&)( & MathTypep Timest |w|wgwt - 2 LLWFP@2 wfpremrk2  revwfk 2 PP 2 jPk 2 acre 2 > jPk 2 D!iPk2 H"share 2 _&jPk 2 e'iPk 2 2 acre 2 2ujPk 2 2{iPk2 2share 2 2jPk 2 2iPkTimes |w|wgw  - 2 iPP 2 +iPP 2 0NP 2 0"jPP 2 jPP 2 #cP 2 sPp 2 wP 2 < iPP 2 b iPP 2 u NP 2 uY jPP 2 jPP 2 cP 2 sPp 2 wPPMT Symbol |w|wgwt - 2 =P 2 < P` 2 P`PMT Symbol |w|wgw  - 2 u=P 2 j=P 2 =P 2 ]=PPMT Symbol |w|wgwt - 2 DP 2 DP 2 . P 2 PTimes |w|wgw  - 2 9(P 2 :(P 2 )( 2 z(( 2  ,(` 2 !)( 2 %(( 2 &,(` 2 ')( 2 o()( 2 ()( 2 2/(k 2 2(( 2 2,(` 2 2)( 2 2(( 2 2,(` 2 2)(Timest |w|wgwt  - 2 0((` 2 0)(` 2 ,(H 2 ,(H 2 u ((` 2 u )(` 2 ,(H 2 t,(HTimes |w|wgw  - 2 65 &  "Systemwm f   - Object #0093t  Equation LWFP=wfpremrrevwf(PP70(j)(acre(j,i)share(j,i) i=iN(j)  ) j=c,s,w  )/acre(j,i)share(j,i) i=iN(j)  j=c,s,w   METAFILEPICT.m.  E  .1   )&)( & MathTypep Timesx |w|wgwx - 2 LLWFP@2 wfpremrk2  revwfk 2 PP 2 jPk 2 acre 2 H jPk 2 N!iPk2 R"share 2 i&jPk 2 o'iPk 2 2 acre 2 2ujPk 2 2{iPk2 2share 2 2jPk 2 2iPkTimes |w|wgw - 2 iPP 2 5iPP 2 0NP 2 0,jPP 2 jPP 2 #cP 2 sPp 2 wP 2 < iPP 2 b iPP 2 u NP 2 uY jPP 2 jPP 2 cP 2 sPp 2 wPPMT Symbol |w|wgwx - 2 =P 2 < P` 2 P`PMT Symbol |w|wgw - 2 =P 2 j=P 2 =P 2 ]=PPMT Symbol |w|wgwx - 2 DP 2 DP 2 . P 2 PTimes |w|wgw - 2 9(P 2 D(P 2 )( 2 (( 2  ,(` 2 !)( 2 %(( 2 &,(` 2 ')( 2 y()( 2 ))( 2 2/(k 2 2(( 2 2,(` 2 2)( 2 2(( 2 2,(` 2 2)(Timesx |w|wgwx - 2 0((` 2 0)(` 2 ,(H 2 ,(H 2 u ((` 2 u )(` 2 ,(H 2 t,(HTimes |w|wgw - 2 70 &  "Systemw f  - Object #0094@ Equation TLWFP=LWFP(acrec(i)sharec(i) i=iN(j)  ) c,s,w ~?j>?rr METAFILEPICT..=   .1  `& b & MathType Times i!w*wgw i -2 4TLWFP@ 2 LWFP@2 -acrec 2  ick2 sharec 2 ihkTimes9 !w*wgw9  - 2 UiG 2 UkiG 2 %N 2 tjG 2 U cq 2 U sc 2 Uj wPMT Symbol j!w*wgw j - 2 [= 2  `PMT Symbol !w*wgw9  - 2 U=PMT Symbol k!w*wgw k - 2 R 2 < Times9 !w*wgw9  - 2 f ( 2 ( 2 ) 2 ( 2 ) 2 )Times l!w*wgw l - 2 (U 2 )U 2 Uu ,@ 2 U& ,@ &  "Systemw%f  - Object #0095p  Equation subaphou(j,i)=0.417round(0.65fyld(j,i),1)rateou(j,i)APHp(j)share(j,i)ppfact(j)acre(j,i)psurc(j,i)i=1,...,N(j);j=c,s,w.I:IN METAFILEPICT6Qn6 3  .1  @1&1  & MathType Times= |w|wgw=  -2 T:subaphou 2 Tjyk 2 Tiyk 2 T-fyldkk 2 TDjyk 2 TJiyk2 Trateouk 2 T2"jyk 2 T8#iyk 2 T#%APHp 2 T)jyk2 Tj+share 2 T/jyk 2 T0iyk2 ppfactkk 2 jyk 2 w acre 2  jyk 2 iyk2 psurc 2 jyk 2 iyk 2 Siyk 2 WNy 2 2jyk 2  jyk 2 )"cy 2 l#sy 2 $wyTimes> |w|wgw>  - 2 T(y 2 TL,y` 2 T[)y 2 T# .y` 2 T(y 2 TV.y` 2 T(y 2 T,y` 2 T),` 2 T5), 2 Tn!(, 2 T",,` 2 T#), 2 T((, 2 T*), 2 T.(, 2 T/,,` 2 T 1), 2 (, 2 $ ), 2  (, 2 \,,` 2 k), 2 5(, 2 r,,` 2 ), 2 ,,` 2 \.,` 2 .,` 2 6.,` 2 ,,` 2 n(, 2 );k 2 ",;` 2 $,;` 2 %.;`PMT Symbol |w|wgw= - 2 T9 =; 2 T ;` 2 TQ;` 2 T;` 2 Tn$;` 2 T*;` 2 F;` 2  ;` 2 ;` 2 +=; 2  =;Times> |w|wgw>  - 2 Tu 0; 2 Tq 417 2 T0; 2 T65 2 T15 2 A152 Tround &  "Systemw< f  - Object #0096 Equation\ psurc(j,i)j,i)=0.41 METAFILEPICTqq4   .1  & & MathTypeP Timesu *|w|wgwu * -2 `\psurc 2 `vjyk 2 `|iykTimes 8|w|wgw 8 - 2 `(y 2 `,y` 2 `)y &  "Systemw f  - Object #0097 Equation\ psurc(j,i)j,i)=0.41 METAFILEPICTqq4   .1  & & MathTypeP Timesu *|w|wgwu * -2 `\psurc 2 `vjyk 2 `|iykTimes 8|w|wgw 8 - 2 `(y 2 `,y` 2 `)y &  "Systemw f  - Object #0098` Equation psubou(j,i)=min(subaphou(j,i),0.417TLP(j,i)),i=1,...,N(j);j=c,s,w. METAFILEPICT334   .1   /&. & MathTypeP Times New Roman-2 `fpsubou 2 `ji 2 `ii2 `& subaphou 2 `ji 2 `ii 2 `TLP 2 ` ji 2 `ii 2 `" ii 2 `%N 2 `('ji 2 `)ji 2 `3+c 2 `~,s 2 `-wTimes New Roman#- 2 `( 2 `,` 2 `) 2 `< min(&i 2 `( 2 `G,` 2 `X),` 2 `A.` 2 `+( 2 `~,` 2 `)),` 2 `",` 2 `'#.` 2 `#.` 2 `$.` 2 `x$,` 2 `J&( 2 `');i 2 `+,` 2 `-,` 2 `..`Symbol- 2 `= 2 `` 2 ` = 2 `)=Times New Roman#- 2 `0 2 `417 2 ` "1 &  "System- Object #0099f  Equation subaph(j,i)=0.417round(0.65fyld(j,i),1)rate(j,i)APHp(j)share(j,i)ppfact(j)acre(j,i)psurc(j,i),i=1,...,N(j);j=c,s,w.,w.I:IN METAFILEPICT3Qd3 .  .1  @.&.  & MathType Times7 |w|wgw7  -2 T:subaph 2 TSjyk 2 TYiyk 2 Tfyldkk 2 Tjyk 2 Tiyk 2 Tratek 2 T1jyk 2 T7 iyk 2 T""APHp 2 T&jyk2 Ti(share 2 T,jyk 2 T-iyk2 ppfactkk 2 jyk 2 w acre 2  jyk 2 iyk2 psurc 2 jyk 2 iyk 2 iyk 2 Ny 2 mjyk 2 H jyk 2 d"cy 2 #sy 2 $wyTimes8 |w|wgw8 - 2 T(y 2 T,y` 2 T)y 2 T .y` 2 T(y 2 T.y` 2 T(y 2 T=,y` 2 TL),` 2 T), 2 Tm(, 2 T,,` 2 T ), 2 T%(, 2 T'), 2 T+(, 2 T,,,` 2 T.), 2 (, 2 $ ), 2  (, 2 \,,` 2 k), 2 5(, 2 r,,` 2 ),` 2 ,,` 2 .,` 2 .,` 2 q.,` 2 ,,` 2 (, 2 );k 2 #,;` 2 >$,;` 2 %.;`PMT Symbol |w|wgw7  - 2 T=; 2 Th ;` 2 T;` 2 Ti;` 2 Tm!;` 2 T';` 2 F;` 2  ;` 2 ;` 2 f=; 2 *!=;Times8 |w|wgw8  - 2 T0; 2 T 417 2 T(0; 2 T$65 2 T15 2 |152 T round &  "Systemw6 f  - Object #0100 Equation\ psurc(j,i)j,i)=0.41 METAFILEPICTqq4   .1  & & MathTypeP Timesu *|w|wgwu * -2 `\psurc 2 `vjyk 2 `|iykTimes 8|w|wgw 8 - 2 `(y 2 `,y` 2 `)y &  "Systemw f  - Object #0101 Equation\ psurc(j,i)j,i)=0.41 METAFILEPICTqq4   .1  & & MathTypeP Timesu *|w|wgwu * -2 `\psurc 2 `vjyk 2 `|iykTimes 8|w|wgw 8 - 2 `(y 2 `,y` 2 `)y &  "Systemw f  - Object #0102d Equation  psubb(j,i)=min(subaph(j,i),0.417TLP(j,i)),i=1,...,N(j);j=c,s,w.f(F(F METAFILEPICTy1y14   .1  ,&, & MathTypeP Times New Roman-2 `fpsubb 2 `ji 2 `ii2 `f subaph 2 `ji 2 `ii 2 ``TLP 2 `ji 2 `ii 2 `ii 2 `"N 2 `$ji 2 `&ji 2 `(c 2 `G*s 2 `u+wTimes New Roman#- 2 `( 2 `G,` 2 `X) 2 `|min(&i 2 `( 2 `,` 2 `!),` 2 ` .` 2 `( 2 `G,` 2 `X)),` 2 `p ,` 2 ` .` 2 `]!.` 2 `!.` 2 `A",` 2 `$( 2 `y%);i 2 `),` 2 `*,` 2 `f,.`Symbol- 2 `6= 2 `` 2 `= 2 `'=Times New Roman#- 2 `\0 2 `X417 2 `1 &  "System- Object #0103 Equation subaphe(j)=subaph i=1N(j)  (j,i),j=c,s,w. METAFILEPICT` K  .1   & & MathType Times New Roman-2 @subaphe 2 ji2  subaph 2 :ji 2 Bii 2  ji 2 :c 2 s 2 wTimes New Roman#- 2 2 iO 2 N 2 a jOTimes New Roman#- 2 ;( 2 ) 2 \( 2 ,` 2 ),` 2 ,` 2 ,` 2 .`Times New Roman#- 2  (` 2  )`Symbol- 2 = 2 =Symbol- 2  =Symbol- 2 7% Times New Roman#- 2 = 1 &  "System- Object #0104 Equation psube(j)=min(subaphe(j),0.417LEP(j)),j=c,s,w.@ METAFILEPICT|%|%4   .1  "&! & MathTypeP Times New Roman-2 `fpsube 2 `ji2 `U subaphe 2 `.ji 2 `LEP 2 `ji 2 `ji 2 `c 2 `ds 2 ` wTimes New Roman#- 2 `( 2 `G) 2 `kmin(&i 2 `P( 2 `),` 2 `.` 2 `( 2 `)),` 2 `,` 2 `,` 2 `!.`Symbol- 2 `%= 2 `d` 2 `=Times New Roman#- 2 `0 2 `417 &  "System- Object #0105 Equation subaphwf=subaphe(c)+subaphe(s)+subaphe(w) METAFILEPICT$#$#4 u  .1  & & MathTypeP Times New Roman-2 `@subaphwfi2 `subaphe 2 ` c2 `Psubaphe 2 `s2 `subaphe 2 `wSymbol- 2 `= 2 `+ 2 `U+Times New Roman#- 2 ` ( 2 `S) 2 `K( 2 `) 2 `( 2 `+) &  "System- Object #0106 Equation psubwf=min(subaphwf,0.417TLWFP)FP'7FPjj METAFILEPICTcc4 i  .1  & & MathTypeP Timesl !w*wgwl -2 `\psubwfk2 `p subaphwfk2 `4TLWFPh@PMT Symbol s!w*wgw6 s - 2 `C= 2 ``Timesl !w*wgwl - 2 `min('k 2 `n,i` 2 `.i` 2 `)i 2 `)0i 2 `%417 &  "Systemwf  - Object #0107 Equation TLPsub(j,i)=TLP(j,i)-psubou(j,i),i=1,...,N(j);j=c,s,w.$$(t METAFILEPICT + +4 X  .1   '&& & MathTypeP Times New Roman-2 `-TLPsub 2 `ji 2 `ii 2 `E TLP 2 ` ji 2 ` ii2 `^psubou 2 `ji 2 `ii 2 `#ii 2 ` N 2 `)ji 2 `!ji 2 `4#c 2 `$s 2 `%wTimes New Roman#- 2 `( 2 `#,` 2 `4) 2 ` ( 2 `, ,` 2 `=) 2 `( 2 `,` 2 `),` 2 `,` 2 `(.` 2 `.` 2 `.` 2 `y,` 2 `K( 2 `);i 2 `#,` 2 `%,` 2 `&.`Symbol- 2 `= 2 `- 2 `= 2 `!=Times New Roman#- 2 ` 1 &  "System- Object #0108 Equation TLPsub(j,i)=TLP(j,i)-psubb(j,i),i=1,...,N(j);j=c,s,w. METAFILEPICTN*N*4 W  .1  `&& & & MathTypeP Times New Roman-2 `-TLPsub 2 `ji 2 `ii 2 `E TLP 2 ` ji 2 ` ii2 `^psubb 2 `ji 2 `ii 2 `cii 2 ``N 2 `iji 2 `Z ji 2 `t"c 2 `#s 2 `$wTimes New Roman#- 2 `( 2 `#,` 2 `4) 2 ` ( 2 `, ,` 2 `=) 2 `( 2 `?,` 2 `P),` 2 `,` 2 `h.` 2 `.` 2 `B.` 2 `,` 2 `( 2 `);i 2 `"#,` 2 `P$,` 2 `%.`Symbol- 2 `= 2 `- 2 `7= 2 `8!=Times New Roman#- 2 `M1 &  "System- Object #0109 Equation TLEPsub(j)=EP(j)-psube(j),j=c,s,w. METAFILEPICT64   .1  & & MathTypeP Times New Roman-2 `-TLEPsub 2 `ji 2 `L EP 2 ` ji2 `psube 2 `ji 2 `ji 2 `c 2 `Js 2 `xwTimes New Roman#- 2 `( 2 `) 2 ` ( 2 ` ) 2 `( 2 `),` 2 `,` 2 `,` 2 `i.` 2 `=Symbol- 2 `M - 2 `= &  "System- Object #0110" Equation| TLWFPsub=TLWFP-psubwf METAFILEPICT`4 ,  .1  & & MathTypeP Timesp *!w*wgwp * -2 `4TLWFPsub@2 `TLWFPs@2 ` psubwfkTimes 4!w*wgw 4 - 2 `k=PMT Symbol +!w*wgwp + - 2 ` - &  "Systemwf  -F"F"/YY\!(Gv bH#%k2PP# C \P( v b\ (Gv !HN#%k2PP# C v !\ (Gv H #%k2PP# C v \ (Gv H͚#%k2PP# C v \ (Gv H闐#%k2PP# E v \ (Gv `H#%k2PP# I v `\ (Gbd:#%k2PP# + b\ (G!d:N#%k2PP# + !\ (Gd: #%k2PP# + \ (Gd:͚#%k2PP# + \ (Gd:闐#%k2PP# - \ (G`d:#%k2PP# ) `Y (Dd8ݙ#%k2PP# = =\!(GrY=",,#%k2PP# # \,P( rY\ (GY>",,#%k2PP# # Y\ (G:f,,#%k2PP# # \ (G>f,,#%k2PP# # Y!(DO=c#%k2PP# = ']P( O=Y (D?c#%k2PP# = =Y (D(+;#%k2PP# = (=Y (D(D?#%k2PP# = (=Y!DVU#%k2PP# w ']P VwY DhU#%k2PP# s sY D U#%k2PP# c cY D,U#%k2PP# j ,jY Dmi#%k2PP# j mijY Di2#%k2PP# N iNY DaU#%k2PP# i iY D2#%k2PP# w wY Dl#%k2PP# s lsY D y#%k2PP# c  cY D#%k2PP# j jY D/-#%k2PP# j /jY D-#%k2PP# N NY D##%k2PP# i iY!Dn$#%k2PP# i \P niY D1$#%k2PP# j j\ Gnp]#%k2PP# acre npacreY D!#%k2PP# i iY DV!#%k2PP# j j] HsC݌Un #%k2PP# share sC݌shareY DD'󣐄#%k2PP# i iY D{&󣐄#%k2PP# j {j\ G7q ss`7#%k2PP# fyld 7q sfyldY D0v$󣐄#%k2PP# i 0iY D#󣐄#%k2PP# j j\ GFn s]7#%k2PP# acre Fn sacreY DU!󣐄#%k2PP# i UiY D!󣐄#%k2PP# j j] H5C!nM#%k2PP# share 5C!shareY DX󣐄#%k2PP# j j\ Gg sV7#%k2PP# chip g schip`K;ƞgg#%k2PP# minrevwf ;minrevwfY!(D)>c#%k2PP# , ']P( ),Y (D;>c#%k2PP# , ,Y (Dw?#%k2PP# ) w)Y (Dw?#%k2PP# ( w(Y (DP?c#%k2PP# 1 P1Y (D(<#%k2PP# , (,Y (D?(;#%k2PP# , ?(,Y (DS?;#%k2PP# ) S)Y (DL?;#%k2PP# ( (Y (D(~?#%k2PP# 1 (1Y!(D EØ#%k2PP# ) \P(  )Y (D PEØ#%k2PP# ,  ,Y (D_DØ#%k2PP# ( _(Y (DBØ#%k2PP# ) )Y (D0vBØ#%k2PP# , 0,Y (DAØ#%k2PP# ( (Y (D cH#%k2PP# )  )Y (D G#%k2PP# ,  ,Y (D 5G#%k2PP# (  (Y (DO E#%k2PP# ) O )Y (DE#%k2PP# , ,Y (D!gD#%k2PP# ( !(Y (DtB#%k2PP# ) t)Y (D8B#%k2PP# , ,Y (DFA#%k2PP# ( F(Y (D4z>#%k2PP# ) 4)Y (D=#%k2PP# ( (Z (E['In#%k2PP# 65 ['65Y (D!g9ݙ#%k2PP# . !.Y (D9ݙ#%k2PP# 0 0/YY\!(Gy bH#%k2PP# C \P( y b\ (Gy !HN#%k2PP# C y !\ (Gy H #%k2PP# C y \ (Gy H͚#%k2PP# C y \ (Gy H闐#%k2PP# E y \ (Gy `H#%k2PP# I y `\ (G"bh:#%k2PP# + "b\ (G"!h:N#%k2PP# + "!\ (G"h: #%k2PP# + "\ (G"h:͚#%k2PP# + "\ (G"h:闐#%k2PP# - "\ (G"`h:#%k2PP# ) "`Y (Dd8ݙ#%k2PP# = =\!(GuY=",,#%k2PP# # \,P( uY\ (GY>",,#%k2PP# # Y\ (G;f,,#%k2PP# # \ (G>f,,#%k2PP# # Y!(DR=c#%k2PP# = ']P( R=Y (D?c#%k2PP# = =Y (D(.;#%k2PP# = (=Y (D(G?#%k2PP# = (=Y!DYU#%k2PP# w ']P YwY DkU#%k2PP# s sY D U#%k2PP# c cY D/U#%k2PP# j /jY Dpi#%k2PP# j pijY Di5#%k2PP# N iNY DdU#%k2PP# i iY D5#%k2PP# w wY Do#%k2PP# s osY D|#%k2PP# c cY D #%k2PP# j jY D2-#%k2PP# j 2jY D-#%k2PP# N NY D&#%k2PP# i iY!Dq$#%k2PP# i \P qiY D4$#%k2PP# j j\ Gnp]#%k2PP# acre npacreY D!#%k2PP# i iY DY!#%k2PP# j j] HvC݌Xn #%k2PP# share vC݌shareY DH'󣐄#%k2PP# i iY D~&󣐄#%k2PP# j ~j\ G:q sv`7#%k2PP# fyld :q sfyldY D3y$󣐄#%k2PP# i 3iY D#󣐄#%k2PP# j j\ GIn s]7#%k2PP# acre In sacreY DY!󣐄#%k2PP# i YiY D!󣐄#%k2PP# j j] H8C!nM#%k2PP# share 8C!shareY D[󣐄#%k2PP# j j\ Gg sV7#%k2PP# chip g schip`K;ƞgg#%k2PP# minrevwf ;minrevwfY!(D,>c#%k2PP# , ']P( ,,Y (D>>c#%k2PP# , ,Y (Dw@#%k2PP# ) w)Y (D!w?#%k2PP# ( !w(Y (DS?c#%k2PP# 1 S1Y (D(<#%k2PP# , (,Y (DB(;#%k2PP# , B(,Y (DV?;#%k2PP# ) V)Y (DP?;#%k2PP# ( (Y (D(?#%k2PP# 1 (1Y!(D EØ#%k2PP# ) \P(  )Y (D TEØ#%k2PP# ,  ,Y (DbDØ#%k2PP# ( b(Y (DBØ#%k2PP# ) )Y (D3yBØ#%k2PP# , 3,Y (DAØ#%k2PP# ( (Y (D! gH#%k2PP# ) ! )Y (D G#%k2PP# ,  ,Y (D 8G#%k2PP# (  (Y (DR E#%k2PP# ) R )Y (DE#%k2PP# , ,Y (D$jD#%k2PP# ( $(Y (DxB#%k2PP# ) x)Y (D;B#%k2PP# , ,Y (DIA#%k2PP# ( I(Y (D7}>#%k2PP# ) 7)Y (D=#%k2PP# ( (Z (E['In#%k2PP# 80 ['80Y (D!g9ݙ#%k2PP# . !.Y (D9ݙ#%k2PP# 0 02'FCDEEheading 1heading 1C9#^\  P6QP# #XP\  P6QXP#heading 2heading 2  heading 3heading 3heading 4heading 42[IYFFGHheading 5heading 5 heading 6heading 6C9# k\  P6Q P# #XP\  P6QXP#heading 7heading 7C9# k\  P6Q P# #XP\  P6QXP#heading 8heading 8C9#^\  P6QP# #XP\  P6QXP#2N lI I lL LDefault Paragraph FoDefault Paragraph Font headerheader X` hp x (#!!X` hp x (#page numberpage number footerfooter X` hp x (#!!X` hp x (#2Q NOmP7QBody TextBody Text >4# k\  P6Q P# #XP\  P6QXP#Toc 1Toc 1A7#XX2PQXP#  #XP\  P6QXP#toc 2toc 2>4#C\  P6QP# #XP\  P6QXP#toc 3toc 3;1#C\  P6QP##XP\  P6QXP#2=U-RRSyTtoc 4toc 4;1#C\  P6QP##XP\  P6QXP#toc 5toc 5;1#C\  P6QP##XP\  P6QXP#toc 6toc 6;1#C\  P6QP##XP\  P6QXP#toc 7toc 7;1#C\  P6QP##XP\  P6QXP#2oU3Vtoc 8toc 8;1#C\  P6QP##XP\  P6QXP#toc 9toc 9;1#C\  P6QP##XP\  P6QXP# X    headerX` hp x (#! header page number" page number"  header!4 <DL!п#y\  P6QP# Programming Instructions for Revenue Assurance#XP\  P6QXP#sm Premium Calculations For 1999   headerX` hp x (#!!4 <DL!  header  # k\  P6Q P#American Farm Bureau Insurance Services, Inc #XP\  P6QXP# #^\  P6QP#January 19, 1999 #XP\  P6QXP#  headerX` hp x (#!!4 <DL!1. Introduction  headerThis document contains detailed instructions for calculating Revenue Assurance sm (RA sm ) premiums in 1999   heading 1#^\  P6QP# 2. Data and Variable Definitions   heading 1 #XP\  P6QXP# Much of the data that is required for calculation of RAsm premiums can be found on the actuarial pages of the APH program. A subset of the APH data will need to be found on the new RAsm actuarial page. The definitions of the data that are to be located on the RAsm actuarial page are given below. The variable names will be indexed by j for a crop and i for a unit of the crop in the equations. For example, rateou(j,i) refers to the optional unit APH rate for crop j, unit i where j = c, s, w refers to crop corn, soybeans, or wheat.  yldR05  The midpoint of the R05 yield span for a crop in a county 4 <DL! <DL!rateouThe APH premium rate (as shown on the APH actuarial page) at a 65% coverage level for the crop that corresponds to a farmers APH yield on a unit (basic or optional). The ou denotes that these are APH optional unit rates. hriskHigh risk land rating factor psurcAPH premium surcharge for cupped or floored APH yield minratefactorA factor used to determine the minimum wholefarm premium rate APHpThe APH price of the crop. PP65The APH prevented planting factor for a crop for 65% prevented planting coverage PP70The APH prevented planting factor for a crop for 70% prevented planting coverage  <DL!4 <DL! Other data used to calculate premiums are supplied by the farmer, supplied by the insurance agent, or supplied by the program. Data that is specific to each unit (basic or optional) is given below:  fyldApproved yield for the basic (or optional) unit 4 <DL! <DL!acreAcres in the crop on the basic (or optional) unit shareThe farmers share on a basic (or optional) unit of a crop revbThe selected peracre revenue level for a basic (or optional) unit of a crop reveThe selected peracre revenue level for an enterprise unit revwfThe selected peracre revenue level for the wholefarm unit minreveThe minimum selected peracre revenue level for an enterprise unit minrevwfThe minimum selected peracre revenue level for wholefarm unit maxreveThe maximum selected peracre revenue level for an enterprise unit maxrevwfThe maximum selected peracre revenue level for wholefarm unit nsectNumber of sections in which a crop is grown   <DL!4 <DL!The prices that are supplied by the agents are: chip  The projected harvest price of a crop And the variables that are supplied by FCIC are: cvpPrice volatility of the crop Variables that are either calculated by the program or supplied by the user and directly used to calculate premiums are: coverCoverage level on a basic (or optional) unit ecoverCoverage level on an enterprise unit coverwCoverage level on a wholefarm unit Some other variables that are calculated by the program are: premrBase premium rate for a basic (or optional) unit epremrBase premium rate for an enterprise unit wfpremrBase premium rate for a wholefarm unit wfpremBase peracre premium for a wholefarm unit avgrateWeighted average APH rate for an enterprise unit erateAdjusted average APH rate for an enterprise unit efyldWeighted average APH yield for an enterprise unit perliaPercent of expected liability from a crop on a wholefarm unit LPPeracre loaded premium for a basic (or optional) unit TLPTotal loaded premium for a basic (or optional) unit LEPPeracre enterprise premium for a crop TLEPTotal loaded enterprise premium for a crop LWFPPeracre loaded wholefarm unit premium TLWFPTotal loaded wholefarm unit premium subaphouPremium subsidy on an optional unit under the APH program subaphbPremium subsidy on a basic unit under the APH program subapheComparable APH premium subsidy for an enterprise unit subaphwfComparable APH premium subsidy for a wholefarm unit psube Premium subsidy on an enterprise unit psubwfPremium subsidy on a wholefarm unit psubbPremium subsidy on a basic (or optional) unit TLPsubSubsidized premium TLEPsubSubsidized enterprise premium WFPsubSubsidized wholefarm premium prembProducer paid premium per acre for a basic (or optional) unit premeProducer paid premium per acre for an enterprise unit premwfProducer paid premium per acre for a wholefarm unit   heading 1#^\  P6QP# 3. Minimum and Maximum Available Coverage Amounts  heading 1 #XP\  P6QXP# Revenue Assurancesm offers revenue guarantees that fall between 65% and 75% of the product of projected harvest price and approved yield for basic, optional, and enterprise units. The maximum coverage level for wholefarm units is 80%.  heading 2 Basic (or optional) units    heading 2  The farmer selects a coverage level between 65% and 75%. The values for the peracre revenue guarantees, revb, are then calculated for all crops j = c, s, w and all units i, i = 1,8.,N(j).   headerX` hp x (#!!4 <DL!  header 1 yq q ddq y1yddObject #0001y(1)   heading 2 Enterprise units   heading 2  The farmer selects the level of reve, rather than the coverage level, after being shown minimum and maximum values. The equations for these minimum and maximum values are somewhat complicated because we must sum over the number of crop units 1 y eoy. The minimum and maximum values should be rounded to the nearest cent.   1 yddyyddObject #0004y(2) 1 yddqqy (3)   heading 2 Wholefarm unit   heading 2  The farmer also selects revwf after being shown minimum and maximum values. The equations for these minimum and maximum values are even more complicated because we must sum over both the number of corn units, the number of soybean units, and the number of wheat units. If there are only two of the three crops in a wholefarm unit then the summations are done only over the included crops.   y..ddObject #0006.y(4)  y..ddObject #0007.y(5)  The minimum and maximum values should be rounded to the nearest cent.  heading 1#^\  P6QP# 4. Coverage Levels  heading 1 #XP\  P6QXP# Coverage levels are used to calculate base premium rates and revenue guarantees. Because a farmer can only select one unit structure (with the exception of optional units) the premium calculator should allow the farmer to have different coverage levels for basic (or optional) units, enterprise, and wholefarm units. The coverage levels for optional and basic units, cover, are supplied directly by the user. The coverage levels for enterprise and wholefarm units must be calculated by the following equations:   1 yddy(6) 1 y//dd/y(7)  All coverage levels are rounded to four digits.   heading 1#^\  P6QP# 4. Basic Unit Premiums   heading 1 #XP\  P6QXP# For each basic (or optional) unit the farmer supplies the state and county where the insured crops reside and values for fyld, and cover. In addition, the farmer decides whether or not to choose the harvest price option. The state, county and whether the farmer chooses the harvest price option identifies which set of rating coefficients to use in equation (9). All rating coefficients and the counties in which they apply are given in Appendix A.   The program should provide (or, alternatively, the user should supply) yldR05 and rateou. These values must be allowed to vary by type and practice to account for the situation where a basic unit has more than one type of practice. The peracre base premiums are then calculated using long, but straightforward, formulas. Before using the formula the APH optional rates at 65% (rateou) must be multiplied by the basic unit discount (BUD = 0.9) to put the RAsm rates on an equivalent basis as the APH basic unit rates. In addition, if a unit is categorized as high risk land, then rateou must also be multiplied by the high risk factor, hrisk. This factor rating factor changes according to the yield span for the unit; hrisk = 1.0 if the land is not high risk land. The variables rate are not rounded.  1 y| | dd| y(8)   heading 2 Base premium rate    heading 2   1 y8 8 dd8 y (9)   This formula is used to calculate the base premium rates for each basic unit and for each optional unit for each crop. Each individual calculation is not rounded, but the variable premr is rounded to 4 digits. The next step is to add a prevented planting load to these base premiums and find the peracre premiums.   heading 2 Loaded peracre premiums   heading 2  The base premium rates are increased for prevented planting coverage if the farmer opts for 65% or 70% prevented planting coverage. The peracre premium is found by multiplying the premium rate by liability and rounding to two decimals. heading 3At 60% prevented planting  heading 3  1 y\ \ dd\ y(10)    heading 3At 65% prevented planting  heading 3  1 y| | dd| y(11)    heading 3At 70% prevented planting  heading 3  1 y  dd y(12) heading 2 Total basic unit premiums   heading 2  The total premium for a basic unit is given by the equation (13). The premium is rounded to the nearest wholedollar amount.   1 y  dd y(13)   heading 2 Total optional unit premiums_Toc423922456   heading 2  The peracre premium for an optional unit is found by treating the optional unit as a basic unit and then applying a 22% surcharge for corn and wheat, and a 30% surcharge for soybeans. They are rounded to the nearest wholedollar amount.   1 yl l ddl y(14) 1 y* * dd* y(15)   1 yE E ddE y(16)   heading 1#^\  P6QP# 5. Enterprise Unit Premiums  heading 1 #XP\  P6QXP# The premium for an enterprise unit is found by using the same coefficients that are used to find premiums for basic or optional units. Differences in the rating equations arise if a farmer has more than one basic unit or farms in more than one section of land. These two factors change the approved farm yield and APH rate used in the equations.  Before the premiums can be calculated, avgrate, and efyld must be calculated. These quantities are simply the acreage and share weighted average of the APH yields and APH premium rates for all units of a crop in a county.  1 yddy(17) 1 yddy(18)  avgrate is not rounded. efyld is rounded to one digit to the right of the decimal. We then need to adjust avgrate to reflect the number of sections.  1 y    dd  y(19) 1 y  dd y(20) 1 y  dd y(21)  erate is rounded to 4 digits. And finally, if a farmer has multiple practices across within or between units then the values for yldR05 to be used in equation (22) is the maximum applicable value.   heading 2 Base premium rate for enterprise unit   heading 2   1 y8 8 dd8 y(22)   Each individual calculation is not rounded, but the variable epremr is rounded to 4 digits.   heading 2 Peracre enterprise unit premiums   heading 2  The next step is convert these rates into peracre base premiums. This is done my multiplying the rate by the appropriate prevented planting factor and liability (the peracre revenue guarantee for enterprise units) and rounding to two digits. heading 3At 60% prevented planting  heading 3  1 y  dd y(23)    heading 3At 65% prevented planting  heading 3  1 y  dd y(24)    heading 3At 70% prevented planting  heading 3  1 yddy(25)    heading 2 Total loaded enterprise premiums   heading 2  Now we need to multiply by total insured acres on the unit. The enterprise premiums are rounded to the nearest wholedollar amount.   headerX` hp x (#!!4 <DL!  header 1 yddy(26)  heading 1#^\  P6QP# 6. WholeFarm Unit Premium  heading 1 #XP\  P6QXP# Calculation of wholefarm premium follows the same procedure as calculation of premium for the other unit structures. However, because there are up to three crops involved, the equations for wholefarm premiums are significantly longer. To facilitate programming, the rating coefficients and rating factors (variables) that are multiplied together and then added to come up with the wholefarm premium are presented as columns below.  The values for the coefficients in betawf depend on which crops are in the wholefarm unit and on whether the farmer chooses the harvest price option. Thus there are a total of eight sets of wholefarm rating coefficients for North Dakota: two for a cornsoybean wholefarm unit, two for a cornwheat wholefarm unit, two for a soybeanwheat wholefarm unit, and two for a cornsoybeanwheat wholefarm unit. There are two sets for Iowa, two sets for Illinois, Eastern South Dakota and Southern Minnesota, and two sets for Northern Minnesota and Western South Dakota, for a total of 14 sets of wholefarm rating coefficients. The 14 sets of wholefarm coefficients are given in the Appendix B. There are three additional rating factors used to calculate wholefarm rates. These are perlia(j), which is calculated as  1 y:x:xdd:xy(27) perlia should be rounded to four digits. If a crop is not grown, then set minrev for that crop equal to zero in this equation.  heading 2 Wholefarm base premium rate   heading 2  Table 1. Wholefarm rating coefficients and rating factors (variables).  J@@@@J  Coefficientheading 5 4 4 Variable heading 5 #I2PQP#betawf(0) 4 4 #C\  P6QP#1.0#I2PQP# betawf(1) 4 4 #C\  P6QP#erate(c)#I2PQP# betawf(2) 4 4 #C\  P6QP#erate(s)#I2PQP# betawf(3) 4 4 #C\  P6QP#erate(w)#I2PQP# betawf(4) 4 4 #C\  P6QP#Erate(c) 1 yddy#I2PQP# betawf(5) 4 4 #C\  P6QP#Erate(s) 1 yddy#I2PQP# betawf(6) 4 4 #C\  P6QP#Erate(w) 1 yddy#I2PQP# betawf(7) 4 4 #C\  P6QP#erate(c) x erate(s)#I2PQP# betawf(8) 4 4 #C\  P6QP#erate(c) x erate(w)#I2PQP# betawf(9) 4 4 #C\  P6QP#erate(s) x erate(w)#I2PQP# betawf(10) 4 4 #C\  P6QP#Coverw#I2PQP# betawf(11) 4 4 #C\  P6QP#Coverw 1 yddy#I2PQP# betawf(12) 4 4 #C\  P6QP#Coverw x erate(c)#I2PQP# betawf(13) 4 4 #C\  P6QP#Coverw x erate(s)#I2PQP# betawf(14) 4 4 #C\  P6QP#Coverw x erate(w)#I2PQP# betawf(15) 4 4 #C\  P6QP#Perlia(c)#I2PQP# betawf(16) 4 4 #C\  P6QP#Perlia(s)#I2PQP# betawf(17) 4 4 #C\  P6QP#Perlia(c) 1 yddy#I2PQP# betawf(18) 4 4 #C\  P6QP#Perlia(c) 1 yddy#I2PQP# betawf(19) 4 4 #C\  P6QP#Perlia(s) 1 yddy#I2PQP# betawf(20) 4 4 #C\  P6QP#Perlia(s) 1 yddy#I2PQP# betawf(21) 4 4 #C\  P6QP#perlia(c) x erate(c)#I2PQP# betawf(22) 4 4 #C\  P6QP#perlia(c) x erate(s)#I2PQP# betawf(23) 4 4 #C\  P6QP#perlia(c) x erate(w)#I2PQP# betawf(24) 4 4 #C\  P6QP#perlia(s) x erate(c)#I2PQP# betawf(25) 4 4 #C\  P6QP#perlia(s) x erate(s)#I2PQP# betawf(26) 4 4 #C\  P6QP#perlia(s) x erate(w)#I2PQP# betawf(27) 4 4 #C\  P6QP#perlia(c) 1 yddy x erate(c)#I2PQP# betawf(28) 4 4 #C\  P6QP#perlia(c) 1 yddy x erate(s)#I2PQP# betawf(29) 4 4 #C\  P6QP#perlia(c) 1 yddy x erate(w)#I2PQP# betawf(30) 4 4 #C\  P6QP#perlia(s) 1 yddy x erate(c)#I2PQP# betawf(31) 4 4 #C\  P6QP#perlia(s) 1 yddy x erate(s)#I2PQP# betawf(32) 4 4 #C\  P6QP#perlia(s) 1 yddy x erate(w)#I2PQP# betawf(33) 4 4 #C\  P6QP#perlia(w) 1 yddy x erate(c)#I2PQP# betawf(34) 4 4 #C\  P6QP#perlia(w) 1 yddy x erate(s)#I2PQP# betawf(35) 4 4 #C\  P6QP#perlia(w) 1 yddy x erate(w)#I2PQP# betawf(36) 4 4 #C\  P6QP#perlia(c) 1 yddy x erate(c)#I2PQP# betawf(37) 4 4 #C\  P6QP#perlia(c) 1 yddy x erate(s)#I2PQP# betawf(38) 4 4 #C\  P6QP#perlia(c) 1 yddy x erate(w)#I2PQP# betawf(39) 4 4 #C\  P6QP#perlia(s) 1 yddy x erate(c)#I2PQP# betawf(40) 4 4 #C\  P6QP#perlia(s) 1 yddy x erate(s)#I2PQP# betawf(41) 4 4 #C\  P6QP#perlia(s) 1 yddy x erate(w)#I2PQP# betawf(42) 4 4 #C\  P6QP#perlia(w) 1 yddy x erate(c)#I2PQP# betawf(43) 4 4 #C\  P6QP#perlia(w) 1 yddy x erate(s)#I2PQP# betawf(44) 4 4 #C\  P6QP#perlia(w) 1 yddy x erate(w)#I2PQP# betawf(45) 4 4 #C\  P6QP#perlia(c) 1 yddy x coverw#I2PQP# betawf(46) 4 4 #C\  P6QP#perlia(s) 1 yddy x coverw#I2PQP# betawf(47) 4 4 #C\  P6QP#perlia(w) 1 yddy x coverw#I2PQP# betawf(48) 4 4 #C\  P6QP#perlia(c) 1 yddy x coverw#I2PQP# betawf(49) 4 4 #C\  P6QP#perlia(s) 1 yddy x coverw#I2PQP# betawf(50) 4 4 #C\  P6QP#efyld(c)/yldR05(c)#I2PQP# betawf(51) 4 4 #C\  P6QP#efyld(s)/yldR05(s)#I2PQP# betawf(52) 4 4 #C\  P6QP#efyld(w)/yldR05(w)#I2PQP# betawf(53) 4 4 #C\  P6QP#(efyld(c)/yldR05(c)) 1 yddy#I2PQP# betawf(54) 4 4 #C\  P6QP#(efyld(s)/yldR05(s)) 1 yddy#I2PQP# betawf(55) 4 4 #C\  P6QP#(efyld(w)/yldR05(w)) 1 yddy#I2PQP# betawf(56) 4 4 #C\  P6QP#perlia(c)/perlia(s)#I2PQP# betawf(57) 4 4 #C\  P6QP#perlia(c)/perlia(w)#I2PQP# betawf(58) 4 4 #C\  P6QP#perlia(s)/perlia(w)#I2PQP# betawf(59) 4 4 #C\  P6QP#(perlia(c)/perlia(s)) 1 yddy#I2PQP# betawf(60) 4 4 #C\  P6QP#(perlia(c)/perlia(w)) 1 yddy#I2PQP# betawf(61) 4 4 #C\  P6QP#(perlia(s)/perlia(w)) 1 yddy#I2PQP# betawf(62) 4 4 #C\  P6QP#Cvp(c)#I2PQP# betawf(63) 4 4 #C\  P6QP#Cvp(s)#I2PQP# betawf(64) 4 4 #C\  P6QP#Cvp(w)#I2PQP# betawf(65) 4 4 #C\  P6QP#Cvp(c) 1 yddy#I2PQP# betawf(66) 4 4 #C\  P6QP#Cvp(s) 1 yddy#I2PQP# betawf(67) 4 4 #C\  P6QP#Cvp(w) 1 yddy#I2PQP# betawf(68) 4 4 #C\  P6QP#cvp(c) x erate(c)#I2PQP# betawf(69) 4 4 #C\  P6QP#cvp(c) x erate(s)#I2PQP# betawf(70) 4 4 #C\  P6QP#cvp(c) x erate(w)#I2PQP# betawf(71) 4 4 #C\  P6QP#cvp(s) x erate(c)#I2PQP# betawf(72) 4 4 #C\  P6QP#cvp(s) x erate(s)#I2PQP# betawf(73) 4 4 #C\  P6QP#cvp(s) x erate(w)#I2PQP# betawf(74) 4 4 #C\  P6QP#cvp(w) x erate(c)#I2PQP# betawf(75) 4 4 #C\  P6QP#cvp(w) x erate(s)#I2PQP# betawf(76) 4 4 #C\  P6QP#cvp(w) x erate(w)#I2PQP# betawf(77) 4 4 #C\  P6QP#cvp(c) 1 yddy x erate(c)#I2PQP# betawf(78) 4 4 #C\  P6QP#cvp(c) 1 yddy x erate(s)#I2PQP# betawf(79) 4 4 #C\  P6QP#cvp(c) 1 yddy x erate(w)#I2PQP# betawf(80) 4 4 #C\  P6QP#cvp(s) 1 yddy x erate(c)#I2PQP# betawf(81) 4 4 #C\  P6QP#cvp(s) 1 yddy x erate(s)#I2PQP# betawf(82) 4 4 #C\  P6QP#cvp(s) 1 yddy x erate(w)#I2PQP# betawf(83) 4 4 #C\  P6QP#cvp(w) 1 yddy x erate(c)#I2PQP# betawf(84) 4 4 #C\  P6QP#cvp(w) 1 yddy x erate(s)#I2PQP# betawf(85) 4 4 #C\  P6QP#cvp(w) 1 yddy x erate(w)#I2PQP# betawf(86) 4 4 #C\  P6QP#perlia(c) x cvp(c)#I2PQP# betawf(87) 4 4 #C\  P6QP#perlia(c) x cvp(s)#I2PQP# betawf(88) 4 4 #C\  P6QP#perlia(c) x cvp(w)#I2PQP# betawf(89) 4 4 #C\  P6QP#perlia(s) x cvp(c)#I2PQP# betawf(90) 4 4 #C\  P6QP#perlia(s) x cvp(s)#I2PQP# betawf(91) 4 4 #C\  P6QP#perlia(s) x cvp(w)#I2PQP# betawf(92) 4 4 #C\  P6QP#perlia(c) 1 yddy x cvp(c)#I2PQP# betawf(93) 4 4 #C\  P6QP#perlia(c) 1 yddy x cvp(s)#I2PQP# betawf(94) 4 4 #C\  P6QP#perlia(c) 1 yddy x cvp(w)#I2PQP# betawf(95) 4 4 #C\  P6QP#perlia(s) 1 yddy x cvp(c)#I2PQP# betawf(96) 4 4 #C\  P6QP#perlia(s) 1 yddy x cvp(s)#I2PQP# betawf(97) 4 4 #C\  P6QP#perlia(s) 1 yddy x cvp(w)#I2PQP# betawf(98) 4 4 #C\  P6QP#perlia(w) 1 yddy x cvp(c)#I2PQP# betawf(99) 4 4 #C\  P6QP#perlia(w) 1 yddy x cvp(s)#I2PQP# betawf(100) 4 4 #C\  P6QP#perlia(w) 1 yddy x cvp(w)4 4 <DL!  headerX` hp x (#!!4 <DL!#XP\  P6QXP#The wholefarm premium rate (wfpremr) is found by multiplying each coefficient by the corresponding value of the variable and then summing the results. Each individual calculation should not be rounded. The sum should be rounded to 4 digits. If a crop is not used, care must be taken to avoid divide by zero errors in the rating variables.   headerheading 2 Checking to See if Maximum WholeFarm Discount is Exceeded   heading 2  RAsm wholefarm premium rates cannot be less than minratefactor (minratefactor = .40 if there are three crops in the wholefarm unit, minratefactor = .55 if there are two crops) times the average premium rate had the producer bought enterprise unit coverage. To determine if this limit has been exceeded we need to use the wholefarm coverage level, coverw, in the enterprise unit premium equations for the crops in the wholefarm unit. The enterprise equations with coverw is reproduced below.    1 y68 68 dd68 y (22w) Now we need to take the weighted average of epremrw to determine if the maximum discount has been exceeded. 1 yddy Now set wfpremr equal to minratefactor times the weighted average of the enterprise unit premium rate if the maximum discount is exceeded, otherwise leave it alone.  1 y  dd y  headerX` hp x (#!!4 <DL!   headerheading 2 Peracre wholefarm unit premiums   heading 2  The next step is to add the prevented planting load. The resulting peracre premium is rounded to two digits. The prevented planting load is the share and acreage weighted average of the prevented planting load for corn and soybeans. heading 3At 60% prevented planting  heading 3  1 y# # dd# y(28)    heading 3At 65% prevented planting  heading 3  1 yxxddxy(29) heading 3At 70% prevented planting  heading 3  1 yxxddxy (30) heading 2 Total wholefarm unit premiums   heading 2  Total loaded premium is then found by multiplying LWFP by insured acres and rounding to the nearest wholedollar amount.  #^\  P6QP# 1 yByByddByy#XP\  P6QXP# (31)   heading 1#^\  P6QP# 7. Premium Subsidy   heading 1 #XP\  P6QXP# The premium subsidy for RAsm equals the RAsm loaded premium at the 65% coverage level (as calculated by equations (14), (15), and (16) for optional units, equation (13) for basic units, equation (26) for enterprise units, and equation (31) for wholefarm units) times 0.417. The premium subsidy cannot exceed the premium subsidy available had the farmer purchased a comparable APH policy. All premium subsidies are rounded to wholedollar amounts.  The variable ppfact(j) is the prevented planting factor for crop j. If the farmer does not buy up prevented planting coverage then ppfact(j) = 1.   heading 2 Optional units   heading 2  First calculate the subsidy available under a comparable APH policy. One rounding rule has to be followed in this calculation. The product of approved yield and 0.65 is rounded to one digit to the right of the decimal.    1 y66dd6y(32)  1 y  dd y= 1.05 if fyld(j,i) is cupped or floored, otherwise else 1 y  dd y= 1.00. The RAsm premium subsidy equals the minimum of 41.7% of the total loaded RAsm premium at a 65% coverage level and the subsidy available under a comparable APH policy.  1 y  dd y(33)   heading 2 Basic units   heading 2  First calculate the subsidy available under a comparable APH policy.   1 yX6X6ddX6y(34)  1 y  dd y= 1.05 if fyld(j,i) is cupped or floored, otherwise else 1 y  dd y= 1.00. The RAsm premium subsidy equals the minimum of 41.7% of the total loaded RAsm premium at a 65% coverage level and the subsidy available under a comparable APH policy.  1 y_ _ dd_ y(35)   heading 2 Enterprise unit   heading 2  First calculate the premium subsidy available had the farmer purchased APH basic units.   1 y  dd y(36) The RAsm premium subsidy equals the minimum of 41.7% of the total loaded RAsm premium at a 65% coverage level and the subsidy available under a comparable APH policy.  1 y  dd y(37)   heading 2 Wholefarm unit   heading 2  First calculate the premium subsidy available had the farmer purchased APH basic units.   1 y  dd y(38)  The RAsm premium subsidy equals the minimum of 41.7% of the total loaded RAsm premium at a 65% coverage level and the subsidy available under a comparable APH policy.  1 yi i ddi y(39)   heading 1#^\  P6QP# 8. Producer Paid Premiums  heading 1 #XP\  P6QXP# The following equations are used to calculate the subsidized producerpaid premiums for each unit structure. Because both the unsubsidized and subsidized premiums are rounded to wholedollar amounts, there will be no need to round producer paid premium. heading 2 Optional units   heading 2   1 y_ _ dd_ y(40) heading 2 Basic units   heading 2   1 y  dd y(41) heading 2 Enterprise unit   heading 2   1 y  dd y(42) heading 2 Wholefarm unit    heading 2   1 yH H ddH y(43)    heading 1#^\  P6QP# 9. Appendix A. Coefficient Values for SingleCrop Equations  heading 1 #XP\  P6QXP# There are four sets of singlecrop coefficients. One set applies to Iowa, one set applies to Illinois and some counties of Southern Minnesota and Eastern South Dakota, one set applies to the remaining counties of Minnesota and South Dakota, and one set applies to North Dakota. The counties that are grouped with Illinois are given in Table A4.  In the tables below, Option = No refers to the singlecrop coefficients that are used when the producer does not select the harvest price option. Option = Yes refers to the coefficients that should be used when the producer selects the harvest price option. J>t@@>t@@J heading 7# k\  P6Q P# 44 <DTable A1. SingleCrop Coefficients for Iowa   heading 7  T>+ I @@@>+ I @@@T #XP\  P6QXP# CornSoybeans h>x@@@@@>x@@@@@h ""Option = No44 Option = YesOption = NoOption = Yes"" beta (0)ܩ0.0670244 Щ0.08801ܩ0.06226ܩ0.06538"" beta (1)0.7118244 0.930410.822890.91853"" beta (2)ܩ0.0569844 Щ0.52708ܩ0.24116ܩ0.50253"" beta (3)0.0003844 0.02156ܩ0.01620ܩ0.02421"" beta (4)0.1703144 0.193980.185850.21708"" beta (5)0.0471244 0.052760.043080.04227"" beta (6)0.0059144 0.011440.006690.01186"" beta (7)ܩ0.2293344 Щ0.29776ܩ0.21835ܩ0.27985"" beta (8)0.2795244 0.207920.298760.22650"" beta (9)0.4388644 0.223080.301670.18437"" beta (10)0.0457244 0.100470.067840.13641"" beta (11)ܩ0.1206844 0.67906ܩ0.194160.46235"" beta (12)ܩ0.0898044 Щ0.12015ܩ0.08623ܩ0.10689"" beta (13)0.2255644 0.482910.282820.50117"" beta (14)ܩ0.0065244 Щ0.02300ܩ0.01967ܩ0.032814 4 <DL! h>@@@@@>@@@@@h ""44 <D# k\  P6Q P# Table A2. SingleCrop Coefficients for Illinois, Southern Minnesota and Eastern South Dakota #XP\  P6QXP# T>+ I @@@>+ I @@@T 44 <CornSoybeans h>x@@@@@>x@@@@@h ""Option = No44 Option = YesOption = NoOption = Yes"" beta (0)ܩ0.0772744 Щ0.09442ܩ0.06656ܩ0.06977"" beta (1)0.7563944 0.939590.850400.93357"" beta (2)ܩ0.0884044 Щ0.49030ܩ0.26828ܩ0.49726"" beta (3)0.0243644 0.03687ܩ0.00799ܩ0.01597"" beta (4)0.1590444 0.185360.183450.21383"" beta (5)0.0436044 0.050580.041460.04204"" beta (6)0.0069944 0.011770.007130.01194"" beta (7)ܩ0.2060444 Щ0.27185ܩ0.20476ܩ0.26378"" beta (8)0.2735644 0.203490.292360.22149"" beta (9)0.3687244 0.200550.265160.16684"" beta (10)0.0664244 0.104230.076270.13431"" beta (11)ܩ0.1755644 0.55120ܩ0.216800.40216"" beta (12)ܩ0.0896244 Щ0.11846ܩ0.08602ܩ0.10699"" beta (13)0.2424644 0.471430.286860.49078"" beta (14)ܩ0.0124944 Щ0.02682ܩ0.02219ܩ0.033774 4 <DL! J>t@@>t@@J 44 <D# k\  P6Q P# Table A3. SingleCrop Coefficients for Northern Minnesota and Western South Dakota  T>+ I @@@>+ I @@@T #XP\  P6QXP#44 <CornSoybeans h>x@@@@@>x@@@@@h ""Option = No44 Option = YesOption = NoOption = Yes"" beta (0)ܩ0.2119044 Щ0.23426ܩ0.22415ܩ0.25105"" beta (1)1.0616244 1.158211.039001.12281"" beta (2)ܩ0.0837544 Щ0.20328ܩ0.10331ܩ0.19567"" beta (3)0.3943144 0.427790.413140.45709"" beta (4)ܩ0.0441344 Щ0.04086ܩ0.05608ܩ0.06127"" beta (5)ܩ0.0135644 Щ0.012650.009240.01506"" beta (6)0.0305544 0.034240.024390.02744"" beta (7)ܩ0.0290044 Щ0.04545ܩ0.02183ܩ0.03775"" beta (8)0.1696944 0.095880.177150.10985"" beta (9)ܩ0.1873244 Щ0.26647ܩ0.14319ܩ0.20993"" beta (10)0.1470344 0.156480.119050.12204"" beta (11)ܩ0.2472144 0.16037ܩ0.251340.14283"" beta (12)ܩ0.0831944 Щ0.09928ܩ0.09491ܩ0.11385"" beta (13)0.1522744 0.280100.138470.27031"" beta (14)ܩ0.0304144 Щ0.03732ܩ0.02657ܩ0.037344 4 <DL!  Body Text# k\  P6Q P# Table A4. Minnesota and South Dakota Counties Grouped With Illinois Counties for RA#C\  P6QP#sm# k\  P6Q P# Rate Calculations.   Body Text #XP\  P6QXP# ^>>D@@@@>>D@@@@^ #^\  P6QP# FIPS44 Minnesota CountiesFIPSSouth Dakota Counties  #XP\  P6QXP#2701144 Big Stone46009Bon Homme     2701344 Blue Earth46011Brookings     2701544 Brown46027Clay     2701944 Carver46029Codington     2702344 Chippewa46035Davison     2703344 Cottonwood46039Deuel     2703744 Dakota46051Grant     2703944 Dodge46057Hamlin     2704144 Douglas46061Hanson     2704344 Faribault46067Hutchinson     2704544 Fillmore46077Kingsbury     2704744 Freeborn46079Lake     2704944 Goodhue46083Lincoln     2705144 Grant46087McCook     2705344 Hennepin46097Miner     2705544 Houston46099Minnehaha     2706344 Jackson46101Moody     2706744 Kandiyohi46111Sanborn     2707344 Lac Qui Parle46125Turner     2707944 Le Sueur46127Union      2708144 Lincoln46135Yankton   2708344 Lyon   2708544 McLeod   2709144 Martin   2709344 Meeker   2709944 Mower   2710144 Murray   2710344 Nicollet   2710544 Nobles   2710944 Olmsted   2711744 Pipestone   2712144 Pope   2712744 Redwood   2712944 Renville   2713144 Rice   2713344 Rock   2713944 Scott   2714344 Sibley   2714544 Stearns   2714744 Steele   2714944 Stevens   2715144 Swift   2715544 Traverse   2715744 Wabasha   2716144 Waseca   2716544 Watonwan   2716944 Winona   2717144 Wright    2717344 Yellow Medicine4 4 <DL! #^\  P6QP# heading 8#^\  P6QP#  J<>@@<>@@J Table A5. SingleCrop Coefficients for North Dakota#&J\  P6Q&P#  heading 8   ^>6|@@@@>6|@@@@^ 44 Corn4 4 SoybeansWheat |>>>L>>@@@@@@@>>>L>>@@@@@@@| **#XP\  P6QXP#Option = NoOption = YesOption = NoOption = YesOption = NoOption = Yes**#&J\  P6Q&P# beta(0) ܩ0.1748ܩ0.18984ܩ0.16573ܩ0.14431ܩ0.16854ܩ0.20135** beta(1) 1.176971.275731.091431.286281.294131.45704** beta(2) ܩ0.34238ܩ0.44383ܩ0.31072ܩ0.37049ܩ0.56336ܩ0.71682** beta(3) 0.194460.203810.200790.166750.165550.20539** beta(4) 0.103510.119120.083580.093210.107660.10966** beta(5) 0.049590.05390.042770.040290.060320.07169** beta(6) ܩ0.000210.00118ܩ0.00069ܩ0.00003ܩ0.0063ܩ0.00625** beta(7) ܩ0.05303ܩ0.0936ܩ0.05751ܩ0.45125ܩ0.16302ܩ0.19623** beta(8) 0.225270.146050.212451.11290.298430.19955** beta(9) ܩ0.18234ܩ0.27555ܩ0.11577ܩ0.26326ܩ0.13173ܩ0.28576** beta(10) ܩ0.02168ܩ0.00136ܩ0.00956ܩ0.01676ܩ0.07456ܩ0.05529** beta(11) ܩ0.261820.11133ܩ0.25549ܩ0.30607ܩ0.134970.32957** beta(12) ܩ0.0695ܩ0.08156ܩ0.06017ܩ0.05815ܩ0.06023ܩ0.07798** beta(13) 0.146220.327750.163420.625550.169850.39354** beta(14) ܩ0.01442ܩ0.02726ܩ0.01231ܩ0.0251ܩ0.00889ܩ0.0204444 <DL!#XP\  P6QXP#   heading 1#^\  P6QP#  10. Appendix B. Coefficient Values for WholeFarm Equations  heading 1 #XP\  P6QXP#  TPr@@@Pr@@@T #^\  P6QP#Table B1. North Dakota WholeFarm Coefficients for a CornSoybeanWheat Farm#g2PQP##^\  P6QP# #XP\  P6QXP#4 4 Option = NoOption = Yes betawf(0) 4 4 Щ0.10408ܩ0.17299 betawf(1) 4 4 Щ0.06676ܩ0.00963 betawf(2) 4 4 Щ0.18458ܩ0.15181 betawf(3) 4 4 0.307580.33613 betawf(4) 4 4 Щ0.14855ܩ0.16518 betawf(5) 4 4 Щ0.12893ܩ0.14517 betawf(6) 4 4 Щ0.02180ܩ0.02360 betawf(7) 4 4 0.187180.13084 betawf(8) 4 4 0.019570.01168 betawf(9) 4 4 0.029550.01224 betawf(10) 4 4 Щ0.006590.06708 betawf(11) 4 4 0.150430.16777 betawf(12) 4 4 0.158560.12600 betawf(13) 4 4 0.189310.15403 betawf(14) 4 4 0.025740.01057 betawf(15) 4 4 0.047930.05142 betawf(16) 4 4 0.033470.02127 betawf(17) 4 4 Щ0.12632ܩ0.05488 betawf(18) 4 4 0.142770.09721 betawf(19) 4 4 Щ0.025470.07214 betawf(20) 4 4 0.03344ܩ0.02022 betawf(21) 4 4 0.306080.37001 betawf(22) 4 4 0.557130.51439 betawf(23) 4 4 Щ0.25593ܩ0.25558 betawf(24) 4 4 0.191480.12601 betawf(25) 4 4 0.298000.34353 betawf(26) 4 4 Щ0.31257ܩ0.35376 betawf(27) 4 4 0.825190.77144 betawf(28) 4 4 Щ0.80161ܩ0.85828 betawf(29) 4 4 Щ0.13354ܩ0.13024 betawf(30) 4 4 Щ0.39016ܩ0.38041 betawf(31) 4 4 1.005691.06110 betawf(32) 4 4 Щ0.12512ܩ0.09976 betawf(33) 4 4 Щ0.36320ܩ0.42758 betawf(34) 4 4 Щ0.07678ܩ0.19100 betawf(35) 4 4 0.979201.19301 betawf(36) 4 4 Щ0.32171ܩ0.24365 betawf(37) 4 4 0.377880.44654 betawf(38) 4 4 0.056820.03464 betawf(39) 4 4 0.210490.21921 betawf(40) 4 4 Щ0.35715ܩ0.38538 betawf(41) 4 4 0.124630.12875 betawf(42) 4 4 0.425360.43455 betawf(43) 4 4 0.227630.32251 betawf(44) 4 4 Щ0.36172ܩ0.36183 betawf(45) 4 4 0.207830.12616 betawf(46) 4 4 0.09669ܩ0.00798 betawf(47) 4 4 0.027910.02487 betawf(48) 4 4 Щ0.22559ܩ0.17931 betawf(49) 4 4 Щ0.08684ܩ0.01666 betawf(50) 4 4 0.002010.00177 betawf(51) 4 4 0.000710.00061 betawf(52) 4 4 0.000350.00067 betawf(53) 4 4 Щ0.00228ܩ0.00286 betawf(54) 4 4 Щ0.00163ܩ0.00228 betawf(55) 4 4 Щ0.00087ܩ0.00122 betawf(56) 4 4 Щ0.00045ܩ0.00056 betawf(57) 4 4 0.000000.00000 betawf(58) 4 4 0.000020.00001 betawf(59) 4 4 0.000010.00001 betawf(60) 4 4 0.000000.00000 betawf(61) 4 4 0.000000.00000 betawf(62) 4 4 Щ0.03405ܩ0.05240 betawf(63) 4 4 0.00214ܩ0.01912 betawf(64) 4 4 Щ0.028100.12388 betawf(65) 4 4 Щ0.02372ܩ0.03379 betawf(66) 4 4 0.00665ܩ0.01986 betawf(67) 4 4 0.049910.01675 betawf(68) 4 4 Щ0.008670.07216 betawf(69) 4 4 Щ0.20367ܩ0.00054 betawf(70) 4 4 Щ0.09779ܩ0.16247 betawf(71) 4 4 Щ0.09623ܩ0.02177 betawf(72) 4 4 Щ0.15030ܩ0.13735 betawf(73) 4 4 Щ0.032350.01410 betawf(74) 4 4 0.128590.03319 betawf(75) 4 4 Щ0.004640.06791 betawf(76) 4 4 0.110060.11432 betawf(77) 4 4 Щ0.02010ܩ0.01878 betawf(78) 4 4 0.563220.17184 betawf(79) 4 4 0.231350.39345 betawf(80) 4 4 0.292620.20112 betawf(81) 4 4 0.214880.38590 betawf(82) 4 4 0.06521ܩ0.02901 betawf(83) 4 4 Щ0.228600.04132 betawf(84) 4 4 0.07301ܩ0.04219 betawf(85) 4 4 Щ0.25249ܩ0.22403 betawf(86) 4 4 0.076940.22249 betawf(87) 4 4 Щ0.03030ܩ0.02341 betawf(88) 4 4 Щ0.02990ܩ0.17585 betawf(89) 4 4 0.049090.07165 betawf(90) 4 4 0.040010.21068 betawf(91) 4 4 0.04143ܩ0.09501 betawf(92) 4 4 0.077120.01217 betawf(93) 4 4 0.043370.05431 betawf(94) 4 4 0.034360.03793 betawf(95) 4 4 Щ0.00997ܩ0.02954 betawf(96) 4 4 0.07888ܩ0.00236 betawf(97) 4 4 Щ0.04639ܩ0.05545 betawf(98) 4 4 0.085340.07786 betawf(99) 4 4 0.010340.02684 betawf(100) 4 4 0.101370.064374 4 <DL! TPr@@@Pr@@@T #^\  P6QP#Table B2. North Dakota WholeFarm Coefficients for a CornSoybean Farm#g2PQP##^\  P6QP# #XP\  P6QXP#4 4 Option = NoOption = Yes betawf(0) 4 4 Щ0.11444ܩ0.15489 betawf(1) 4 4 0.20930.23549 betawf(2) 4 4 0.530790.58702 betawf(3) 4 4 00 betawf(4) 4 4 Щ0.19117ܩ0.21136 betawf(5) 4 4 Щ0.21119ܩ0.23635 betawf(6) 4 4 00 betawf(7) 4 4 0.273090.2007 betawf(8) 4 4 00 betawf(9) 4 4 00 betawf(10) 4 4 0.127570.17225 betawf(11) 4 4 0.08910.10073 betawf(12) 4 4 0.159520.12814 betawf(13) 4 4 0.117440.07633 betawf(14) 4 4 00 betawf(15) 4 4 Щ0.02284ܩ0.02867 betawf(16) 4 4 00 betawf(17) 4 4 0.028510.01709 betawf(18) 4 4 Щ0.016488.92E03 betawf(19) 4 4 00 betawf(20) 4 4 00 betawf(21) 4 4 0.917531.06468 betawf(22) 4 4 Щ1.3907ܩ1.51741 betawf(23) 4 4 00 betawf(24) 4 4 00 betawf(25) 4 4 00 betawf(26) 4 4 00 betawf(27) 4 4 Щ0.52381ܩ0.69952 betawf(28) 4 4 1.441091.51242 betawf(29) 4 4 00 betawf(30) 4 4 Щ1.73478ܩ1.95239 betawf(31) 4 4 1.903242.14805 betawf(32) 4 4 00 betawf(33) 4 4 00 betawf(34) 4 4 00 betawf(35) 4 4 00 betawf(36) 4 4 0.117390.24082 betawf(37) 4 4 Щ0.53896ܩ0.52745 betawf(38) 4 4 00 betawf(39) 4 4 1.64251.8472 betawf(40) 4 4 Щ1.7381ܩ1.95232 betawf(41) 4 4 00 betawf(42) 4 4 00 betawf(43) 4 4 00 betawf(44) 4 4 00 betawf(45) 4 4 0.028920.05693 betawf(46) 4 4 Щ5.33E03ܩ3.31E03 betawf(47) 4 4 00 betawf(48) 4 4 Щ0.04908ܩ0.07741 betawf(49) 4 4 00 betawf(50) 4 4 5.00E05ܩ5.60E04 betawf(51) 4 4 Щ2.34E03ܩ2.73E03 betawf(52) 4 4 00 betawf(53) 4 4 Щ2.08E03ܩ2.64E03 betawf(54) 4 4 Щ6.70E04ܩ1.29E03 betawf(55) 4 4 00 betawf(56) 4 4 1.34E039.80E04 betawf(57) 4 4 00 betawf(58) 4 4 00 betawf(59) 4 4 Щ4.00E05ܩ3.00E05 betawf(60) 4 4 00 betawf(61) 4 4 00 betawf(62) 4 4 0.040670.04238 betawf(63) 4 4 0.052710.13581 betawf(64) 4 4 00 betawf(65) 4 4 Щ0.04007ܩ0.02254 betawf(66) 4 4 0.055ܩ0.01425 betawf(67) 4 4 00 betawf(68) 4 4 Щ0.14944ܩ1.65E03 betawf(69) 4 4 Щ0.37583ܩ0.12297 betawf(70) 4 4 00 betawf(71) 4 4 Щ0.09263ܩ0.04372 betawf(72) 4 4 0.043060.07783 betawf(73) 4 4 00 betawf(74) 4 4 00 betawf(75) 4 4 00 betawf(76) 4 4 00 betawf(77) 4 4 0.253210.15407 betawf(78) 4 4 0.977440.49714 betawf(79) 4 4 00 betawf(80) 4 4 0.343580.35171 betawf(81) 4 4 Щ0.32805ܩ0.1623 betawf(82) 4 4 00 betawf(83) 4 4 00 betawf(84) 4 4 00 betawf(85) 4 4 00 betawf(86) 4 4 0.019970.14873 betawf(87) 4 4 Щ0.15408ܩ0.19848 betawf(88) 4 4 00 betawf(89) 4 4 00 betawf(90) 4 4 00 betawf(91) 4 4 00 betawf(92) 4 4 0.07747ܩ0.01128 betawf(93) 4 4 0.097170.06309 betawf(94) 4 4 00 betawf(95) 4 4 Щ0.04542ܩ0.09183 betawf(96) 4 4 0.067280.08973 betawf(97) 4 4 00 betawf(98) 4 4 00 betawf(99) 4 4 00 betawf(100) 4 4 004 4 <DL! TPr@@@Pr@@@T #^\  P6QP#Table B3. North Dakota WholeFarm Coefficients for a CornWheat Farm#g2PQP##^\  P6QP# #XP\  P6QXP#4 4 Option = NoOption = Yes betawf(0) 4 4 Щ0.0837ܩ0.13851 betawf(1) 4 4 0.252060.29738 betawf(2) 4 4 00 betawf(3) 4 4 0.374330.4568 betawf(4) 4 4 Щ0.22074ܩ0.28145 betawf(5) 4 4 00 betawf(6) 4 4 Щ0.08125ܩ0.09251 betawf(7) 4 4 00 betawf(8) 4 4 0.183680.14318 betawf(9) 4 4 00 betawf(10) 4 4 0.055550.11817 betawf(11) 4 4 0.145490.15426 betawf(12) 4 4 0.063370.01437 betawf(13) 4 4 00 betawf(14) 4 4 0.054640.02824 betawf(15) 4 4 Щ0.10182ܩ0.11949 betawf(16) 4 4 00 betawf(17) 4 4 0.194920.26456 betawf(18) 4 4 Щ1.45E01ܩ1.83E01 betawf(19) 4 4 00 betawf(20) 4 4 00 betawf(21) 4 4 1.948852.29331 betawf(22) 4 4 00 betawf(23) 4 4 Щ1.80405ܩ2.18809 betawf(24) 4 4 00 betawf(25) 4 4 00 betawf(26) 4 4 00 betawf(27) 4 4 Щ2.64104ܩ3.2803 betawf(28) 4 4 00 betawf(29) 4 4 2.601133.25177 betawf(30) 4 4 00 betawf(31) 4 4 00 betawf(32) 4 4 00 betawf(33) 4 4 Щ4.9575ܩ5.4856 betawf(34) 4 4 00 betawf(35) 4 4 3.951834.82367 betawf(36) 4 4 1.279121.68705 betawf(37) 4 4 00 betawf(38) 4 4 Щ1.23972ܩ1.59696 betawf(39) 4 4 00 betawf(40) 4 4 00 betawf(41) 4 4 00 betawf(42) 4 4 6.38767.04161 betawf(43) 4 4 00 betawf(44) 4 4 Щ4.21439ܩ5.31282 betawf(45) 4 4 0.065040.03332 betawf(46) 4 4 00 betawf(47) 4 4 Щ6.62E02ܩ6.41E02 betawf(48) 4 4 Щ0.07253ܩ0.05985 betawf(49) 4 4 00 betawf(50) 4 4 1.66E031.46E03 betawf(51) 4 4 00 betawf(52) 4 4 Щ3.85E03ܩ2.54E03 betawf(53) 4 4 Щ2.93E03ܩ3.82E03 betawf(54) 4 4 00 betawf(55) 4 4 2.90E04ܩ6.70E04 betawf(56) 4 4 00 betawf(57) 4 4 1.32E031.28E03 betawf(58) 4 4 00 betawf(59) 4 4 00 betawf(60) 4 4 00 betawf(61) 4 4 00 betawf(62) 4 4 Щ0.09832ܩ0.08871 betawf(63) 4 4 00 betawf(64) 4 4 0.035730.14621 betawf(65) 4 4 0.290650.28591 betawf(66) 4 4 00 betawf(67) 4 4 Щ0.01474ܩ0.09694 betawf(68) 4 4 9.40E011.22E+00 betawf(69) 4 4 00 betawf(70) 4 4 Щ0.39706ܩ0.31279 betawf(71) 4 4 00 betawf(72) 4 4 00 betawf(73) 4 4 00 betawf(74) 4 4 Щ0.76961ܩ0.95176 betawf(75) 4 4 00 betawf(76) 4 4 0.576690.58776 betawf(77) 4 4 Щ2.44278ܩ2.57799 betawf(78) 4 4 00 betawf(79) 4 4 1.13781.03663 betawf(80) 4 4 00 betawf(81) 4 4 00 betawf(82) 4 4 00 betawf(83) 4 4 1.973992.49823 betawf(84) 4 4 00 betawf(85) 4 4 Щ1.29337ܩ1.26393 betawf(86) 4 4 0.097690.25224 betawf(87) 4 4 00 betawf(88) 4 4 Щ0.15663ܩ0.33195 betawf(89) 4 4 00 betawf(90) 4 4 00 betawf(91) 4 4 00 betawf(92) 4 4 3.50E03ܩ1.32E01 betawf(93) 4 4 00 betawf(94) 4 4 0.175480.29129 betawf(95) 4 4 00 betawf(96) 4 4 00 betawf(97) 4 4 00 betawf(98) 4 4 Щ0.02786ܩ0.17237 betawf(99) 4 4 00 betawf(100) 4 4 0.085460.23214 4 <DL! TPr@@@Pr@@@T #^\  P6QP#Table B4. North Dakota WholeFarm Coefficients for a Soybean Wheat Farm#g2PQP##^\  P6QP# #XP\  P6QXP#4 4 Option = NoOption = Yes betawf(0) 4 4 Щ0.01776ܩ0.06197 betawf(1) 4 4 00 betawf(2) 4 4 0.127180.15212 betawf(3) 4 4 0.389330.50222 betawf(4) 4 4 00 betawf(5) 4 4 Щ0.10996ܩ0.16599 betawf(6) 4 4 Щ0.08513ܩ0.09132 betawf(7) 4 4 00 betawf(8) 4 4 00 betawf(9) 4 4 0.229370.17326 betawf(10) 4 4 Щ0.15086ܩ0.12685 betawf(11) 4 4 0.269340.30598 betawf(12) 4 4 00 betawf(13) 4 4 0.239310.20412 betawf(14) 4 4 0.090850.05509 betawf(15) 4 4 00 betawf(16) 4 4 Щ0.09571ܩ0.10907 betawf(17) 4 4 00 betawf(18) 4 4 00 betawf(19) 4 4 0.214140.30593 betawf(20) 4 4 Щ0.13439ܩ0.19617 betawf(21) 4 4 00 betawf(22) 4 4 00 betawf(23) 4 4 00 betawf(24) 4 4 00 betawf(25) 4 4 1.803162.08943 betawf(26) 4 4 Щ1.54064ܩ1.87199 betawf(27) 4 4 00 betawf(28) 4 4 00 betawf(29) 4 4 00 betawf(30) 4 4 00 betawf(31) 4 4 Щ2.53982ܩ3.0177 betawf(32) 4 4 2.149222.63581 betawf(33) 4 4 00 betawf(34) 4 4 Щ4.94639ܩ5.3957 betawf(35) 4 4 3.213733.92995 betawf(36) 4 4 00 betawf(37) 4 4 00 betawf(38) 4 4 00 betawf(39) 4 4 00 betawf(40) 4 4 1.410911.70183 betawf(41) 4 4 Щ1.03888ܩ1.27544 betawf(42) 4 4 00 betawf(43) 4 4 6.592037.12821 betawf(44) 4 4 Щ3.2061ܩ3.9749 betawf(45) 4 4 00 betawf(46) 4 4 Щ0.00477ܩ0.08295 betawf(47) 4 4 0.014620.02368 betawf(48) 4 4 00 betawf(49) 4 4 Щ0.008560.0502 betawf(50) 4 4 00 betawf(51) 4 4 0.004694.12E03 betawf(52) 4 4 Щ0.00432ܩ3.14E03 betawf(53) 4 4 00 betawf(54) 4 4 Щ0.00436ܩ5.02E03 betawf(55) 4 4 0.00047ܩ3.90E04 betawf(56) 4 4 00 betawf(57) 4 4 00 betawf(58) 4 4 0.001561.56E03 betawf(59) 4 4 00 betawf(60) 4 4 00 betawf(61) 4 4 Щ0.00001ܩ0.00001 betawf(62) 4 4 00 betawf(63) 4 4 0.059310.09189 betawf(64) 4 4 0.014930.10956 betawf(65) 4 4 00 betawf(66) 4 4 Щ0.01735ܩ0.07124 betawf(67) 4 4 0.02717ܩ0.04016 betawf(68) 4 4 00 betawf(69) 4 4 00 betawf(70) 4 4 00 betawf(71) 4 4 00 betawf(72) 4 4 Щ0.55432ܩ0.39578 betawf(73) 4 4 Щ0.02365ܩ0.02088 betawf(74) 4 4 00 betawf(75) 4 4 0.270540.35335 betawf(76) 4 4 Щ0.56497ܩ0.72439 betawf(77) 4 4 00 betawf(78) 4 4 00 betawf(79) 4 4 00 betawf(80) 4 4 00 betawf(81) 4 4 1.144721.25656 betawf(82) 4 4 0.16720.22899 betawf(83) 4 4 00 betawf(84) 4 4 Щ0.60766ܩ0.67017 betawf(85) 4 4 1.240031.71152 betawf(86) 4 4 00 betawf(87) 4 4 00 betawf(88) 4 4 00 betawf(89) 4 4 00 betawf(90) 4 4 0.110130.25777 betawf(91) 4 4 0.00501ܩ0.14194 betawf(92) 4 4 00 betawf(93) 4 4 00 betawf(94) 4 4 00 betawf(95) 4 4 00 betawf(96) 4 4 Щ0.05935ܩ0.18271 betawf(97) 4 4 Щ0.04550.04128 betawf(98) 4 4 00 betawf(99) 4 4 Щ0.29904ܩ0.47517 betawf(100) 4 4 0.02020.160054 4 <DL! TPr@@@Pr@@@T #^\  P6QP#Table B5. Iowa WholeFarm Coefficients for a CornSoybean Farm#g2PQP##^\  P6QP# #XP\  P6QXP#4 4 Option = NoOption = Yes betawf(0) 4 4 0.01014ܩ0.00244 betawf(1) 4 4 Щ0.25297ܩ0.29716 betawf(2) 4 4 0.713020.87698 betawf(3) 4 4 00 betawf(4) 4 4 Щ0.36116ܩ0.53259 betawf(5) 4 4 Щ0.42304ܩ0.57143 betawf(6) 4 4 00 betawf(7) 4 4 0.786860.63634 betawf(8) 4 4 00 betawf(9) 4 4 00 betawf(10) 4 4 Щ0.14266ܩ0.14908 betawf(11) 4 4 0.21170.25381 betawf(12) 4 4 0.41870.419 betawf(13) 4 4 0.392040.35174 betawf(14) 4 4 00 betawf(15) 4 4 Щ0.00499ܩ0.0291 betawf(16) 4 4 00 betawf(17) 4 4 Щ0.18325ܩ0.23529 betawf(18) 4 4 0.23460.3062 betawf(19) 4 4 00 betawf(20) 4 4 00 betawf(21) 4 4 0.215960.30992 betawf(22) 4 4 Щ0.94683ܩ1.04437 betawf(23) 4 4 00 betawf(24) 4 4 00 betawf(25) 4 4 00 betawf(26) 4 4 00 betawf(27) 4 4 1.411921.63227 betawf(28) 4 4 Щ0.69384ܩ0.87501 betawf(29) 4 4 00 betawf(30) 4 4 00 betawf(31) 4 4 00 betawf(32) 4 4 00 betawf(33) 4 4 00 betawf(34) 4 4 00 betawf(35) 4 4 00 betawf(36) 4 4 Щ0.7034ܩ0.8126 betawf(37) 4 4 0.71180.83374 betawf(38) 4 4 00 betawf(39) 4 4 00 betawf(40) 4 4 00 betawf(41) 4 4 00 betawf(42) 4 4 00 betawf(43) 4 4 00 betawf(44) 4 4 00 betawf(45) 4 4 0.242380.35605 betawf(46) 4 4 00 betawf(47) 4 4 00 betawf(48) 4 4 Щ0.30241ܩ0.41458 betawf(49) 4 4 00 betawf(50) 4 4 Щ0.00623ܩ0.00675 betawf(51) 4 4 Щ0.0041ܩ0.0057 betawf(52) 4 4 00 betawf(53) 4 4 0.00160.00095 betawf(54) 4 4 0.000730.00051 betawf(55) 4 4 00 betawf(56) 4 4 Щ0.00029ܩ0.00006 betawf(57) 4 4 00 betawf(58) 4 4 00 betawf(59) 4 4 0.000010 betawf(60) 4 4 00 betawf(61) 4 4 00 betawf(62) 4 4 Щ0.05167ܩ0.10001 betawf(63) 4 4 0.006110.10156 betawf(64) 4 4 00 betawf(65) 4 4 0.16420.17737 betawf(66) 4 4 0.166880.09191 betawf(67) 4 4 00 betawf(68) 4 4 0.224830.68229 betawf(69) 4 4 Щ0.099130.11978 betawf(70) 4 4 00 betawf(71) 4 4 0.000540.07349 betawf(72) 4 4 0.327240.36428 betawf(73) 4 4 00 betawf(74) 4 4 00 betawf(75) 4 4 00 betawf(76) 4 4 00 betawf(77) 4 4 Щ0.66749ܩ1.07309 betawf(78) 4 4 0.16465ܩ0.05006 betawf(79) 4 4 00 betawf(80) 4 4 Щ0.07501ܩ0.08661 betawf(81) 4 4 Щ0.94273ܩ0.46693 betawf(82) 4 4 00 betawf(83) 4 4 00 betawf(84) 4 4 00 betawf(85) 4 4 00 betawf(86) 4 4 0.004270.1747 betawf(87) 4 4 Щ0.10067ܩ0.13602 betawf(88) 4 4 00 betawf(89) 4 4 00 betawf(90) 4 4 00 betawf(91) 4 4 00 betawf(92) 4 4 0.02753ܩ0.01644 betawf(93) 4 4 0.02902ܩ0.0412 betawf(94) 4 4 00 betawf(95) 4 4 00 betawf(96) 4 4 00 betawf(97) 4 4 00 betawf(98) 4 4 00 betawf(99) 4 4 00 betawf(100) 4 4 004 4 <DL! TPr@@@Pr@@@T #^\  P6QP#Table B6. Illinois, Eastern South Dakota, and Southern Minnesota WholeFarm Coefficients for a CornSoybean Farm#g2PQP##^\  P6QP# #XP\  P6QXP#4 4 Option = NoOption = Yes betawf(0) 4 4 Щ0.009ܩ0.0163 betawf(1) 4 4 Щ0.2234ܩ0.2767 betawf(2) 4 4 0.756610.89255 betawf(3) 4 4 00 betawf(4) 4 4 Щ0.3995ܩ0.5389 betawf(5) 4 4 Щ0.4555ܩ0.5823 betawf(6) 4 4 00 betawf(7) 4 4 0.767910.64675 betawf(8) 4 4 00 betawf(9) 4 4 00 betawf(10) 4 4 Щ0.1045ܩ0.1189 betawf(11) 4 4 0.19250.236 betawf(12) 4 4 0.390240.40206 betawf(13) 4 4 0.349650.3296 betawf(14) 4 4 00 betawf(15) 4 4 0.0004ܩ0.021 betawf(16) 4 4 00 betawf(17) 4 4 Щ0.1907ܩ0.2377 betawf(18) 4 4 0.232610.29943 betawf(19) 4 4 00 betawf(20) 4 4 00 betawf(21) 4 4 0.241380.33304 betawf(22) 4 4 Щ0.9352ܩ1.0236 betawf(23) 4 4 00 betawf(24) 4 4 00 betawf(25) 4 4 00 betawf(26) 4 4 00 betawf(27) 4 4 1.392031.58423 betawf(28) 4 4 Щ0.6735ܩ0.8548 betawf(29) 4 4 00 betawf(30) 4 4 00 betawf(31) 4 4 00 betawf(32) 4 4 00 betawf(33) 4 4 00 betawf(34) 4 4 00 betawf(35) 4 4 00 betawf(36) 4 4 Щ0.7154ܩ0.8122 betawf(37) 4 4 0.680150.80257 betawf(38) 4 4 00 betawf(39) 4 4 00 betawf(40) 4 4 00 betawf(41) 4 4 00 betawf(42) 4 4 00 betawf(43) 4 4 00 betawf(44) 4 4 00 betawf(45) 4 4 0.244210.3472 betawf(46) 4 4 00 betawf(47) 4 4 00 betawf(48) 4 4 Щ0.2992ܩ0.4035 betawf(49) 4 4 00 betawf(50) 4 4 Щ0.0059ܩ0.007 betawf(51) 4 4 Щ0.004ܩ0.0057 betawf(52) 4 4 00 betawf(53) 4 4 0.001250.00087 betawf(54) 4 4 0.000550.00043 betawf(55) 4 4 00 betawf(56) 4 4 Щ0.0002ܩ3E05 betawf(57) 4 4 00 betawf(58) 4 4 00 betawf(59) 4 4 0ܩ1E05 betawf(60) 4 4 00 betawf(61) 4 4 00 betawf(62) 4 4 Щ0.0499ܩ0.0905 betawf(63) 4 4 0.021680.10634 betawf(64) 4 4 00 betawf(65) 4 4 0.161580.16703 betawf(66) 4 4 0.153010.09015 betawf(67) 4 4 00 betawf(68) 4 4 0.226920.62008 betawf(69) 4 4 Щ0.07530.12564 betawf(70) 4 4 00 betawf(71) 4 4 0.029540.10653 betawf(72) 4 4 0.25970.32036 betawf(73) 4 4 00 betawf(74) 4 4 00 betawf(75) 4 4 00 betawf(76) 4 4 00 betawf(77) 4 4 Щ0.7241ܩ1.0454 betawf(78) 4 4 0.1265ܩ0.0763 betawf(79) 4 4 00 betawf(80) 4 4 Щ0.0966ܩ0.1296 betawf(81) 4 4 Щ0.8301ܩ0.4504 betawf(82) 4 4 00 betawf(83) 4 4 00 betawf(84) 4 4 00 betawf(85) 4 4 00 betawf(86) 4 4 0.017830.16754 betawf(87) 4 4 Щ0.0936ܩ0.1285 betawf(88) 4 4 00 betawf(89) 4 4 00 betawf(90) 4 4 00 betawf(91) 4 4 00 betawf(92) 4 4 0.03723ܩ0.0063 betawf(93) 4 4 0.01256ܩ0.0493 betawf(94) 4 4 00 betawf(95) 4 4 00 betawf(96) 4 4 00 betawf(97) 4 4 00 betawf(98) 4 4 00 betawf(99) 4 4 00 betawf(100) 4 4 004 4 <DL! TPr@@@Pr@@@T #^\  P6QP#Table B7. Western South Dakota, and Northern Minnesota WholeFarm Coefficients for a CornSoybean Farm#g2PQP##^\  P6QP# #XP\  P6QXP#4 4 Option = NoOption = Yes betawf(0) 4 4 Щ0.1122ܩ0.1311 betawf(1) 4 4 0.051460.05429 betawf(2) 4 4 0.975511.0632 betawf(3) 4 4 00 betawf(4) 4 4 Щ0.3312ܩ0.3699 betawf(5) 4 4 Щ0.2813ܩ0.3049 betawf(6) 4 4 00 betawf(7) 4 4 0.351040.28354 betawf(8) 4 4 00 betawf(9) 4 4 00 betawf(10) 4 4 0.133050.14961 betawf(11) 4 4 0.063560.08432 betawf(12) 4 4 0.048690.01548 betawf(13) 4 4 0.038330.01776 betawf(14) 4 4 00 betawf(15) 4 4 0.00766ܩ0.0067 betawf(16) 4 4 00 betawf(17) 4 4 Щ0.2919ܩ0.3034 betawf(18) 4 4 0.338930.37027 betawf(19) 4 4 00 betawf(20) 4 4 00 betawf(21) 4 4 0.382990.41825 betawf(22) 4 4 Щ0.9253ܩ1.0164 betawf(23) 4 4 00 betawf(24) 4 4 00 betawf(25) 4 4 00 betawf(26) 4 4 00 betawf(27) 4 4 1.004391.12812 betawf(28) 4 4 Щ0.366ܩ0.4318 betawf(29) 4 4 00 betawf(30) 4 4 00 betawf(31) 4 4 00 betawf(32) 4 4 00 betawf(33) 4 4 00 betawf(34) 4 4 00 betawf(35) 4 4 00 betawf(36) 4 4 Щ0.4823ܩ0.5398 betawf(37) 4 4 0.393870.45269 betawf(38) 4 4 00 betawf(39) 4 4 00 betawf(40) 4 4 00 betawf(41) 4 4 00 betawf(42) 4 4 00 betawf(43) 4 4 00 betawf(44) 4 4 00 betawf(45) 4 4 0.346460.38727 betawf(46) 4 4 00 betawf(47) 4 4 00 betawf(48) 4 4 Щ0.395ܩ0.4464 betawf(49) 4 4 00 betawf(50) 4 4 Щ0.0133ܩ0.0146 betawf(51) 4 4 Щ0.0053ܩ0.0061 betawf(52) 4 4 00 betawf(53) 4 4 0.006740.00673 betawf(54) 4 4 0.002520.00213 betawf(55) 4 4 00 betawf(56) 4 4 Щ0.0017ܩ0.0014 betawf(57) 4 4 00 betawf(58) 4 4 00 betawf(59) 4 4 0.000080.00005 betawf(60) 4 4 00 betawf(61) 4 4 00 betawf(62) 4 4 Щ0.0523ܩ0.1037 betawf(63) 4 4 0.042440.11628 betawf(64) 4 4 00 betawf(65) 4 4 0.183270.19342 betawf(66) 4 4 0.166250.13745 betawf(67) 4 4 00 betawf(68) 4 4 0.250230.4296 betawf(69) 4 4 Щ0.06150.08939 betawf(70) 4 4 00 betawf(71) 4 4 0.159130.24959 betawf(72) 4 4 Щ0.0955ܩ0.0153 betawf(73) 4 4 00 betawf(74) 4 4 00 betawf(75) 4 4 00 betawf(76) 4 4 00 betawf(77) 4 4 Щ0.8529ܩ0.9274 betawf(78) 4 4 0.17877ܩ0.0529 betawf(79) 4 4 00 betawf(80) 4 4 Щ0.3077ܩ0.399 betawf(81) 4 4 Щ0.040.09066 betawf(82) 4 4 00 betawf(83) 4 4 00 betawf(84) 4 4 00 betawf(85) 4 4 00 betawf(86) 4 4 0.040420.19779 betawf(87) 4 4 Щ0.1323ܩ0.184 betawf(88) 4 4 00 betawf(89) 4 4 00 betawf(90) 4 4 00 betawf(91) 4 4 00 betawf(92) 4 4 0.03131ܩ0.0194 betawf(93) 4 4 0.03903ܩ0.0191 betawf(94) 4 4 00 betawf(95) 4 4 00 betawf(96) 4 4 00 betawf(97) 4 4 00 betawf(98) 4 4 00 betawf(99) 4 4 00 betawf(100) 4 4 004 4 <DL! DO NOT DELETE OR EDIT THIS PAGE IT IS NEEDED FOR CONVERTING FORMULAS Formulas are created using MathType#C\  P6QP#tm Version 3.5b Copyright 19901997    By Design Science, Inc. All Rights reserved. www.mathtype.com#XP\  P6QXP# Toc 1#XX2PQXP#   #XP\  P6QXP# Toc 1   headerX` hp x (#!!4 <DL!  header   headerX` hp x (#!!4 <DL! #Xx6X@DQX@#  header  headerX` hp x (#!!4 <DL!_______________________________________________________  header____________________________________________________________ ./Object #0004 stack{premr(``j,i)~=~\beta(``j,0)~+~\beta(``j,1)rate(``j,i)~+~\beta(``j,2)rate(``j,i)sup2~+~\beta(``j,3)cover(``j)#~#  ~+~\beta(``j,4)cover(``j)sup2~+~\beta(``j,5){fyld(``j,i)}over{yldR05(``j)}~+~\beta(``j,6)({fyld(``j,i)}over{yldR05(``j)})sup2#~#~+~\beta(``j,7)cvp(``j)~+~\beta(``j,8)cvp(``j)sup2~+~\beta(``j,9)(rate(``j,i)``cdot``cover(``j)#~#~+~\beta(``j,10)rate(``j,i)``cdot``{fyld(``j,i)}over{yldR05(``j)}~+~\beta(``j,11)rate(``j,i)``cdot``cvp(``j)~#~#+~\beta(``j,12)cover(``j)``cdot``{fyld(``j,i)}over{yldR05(``j)}~+~\beta(``j,13)cover(``j)``cdot``cvp(``j)~#~#+~\beta(``j,14)cvp(``j)``cdot``{fyld(``j,i)}over{yldR05(``j)}~~i~=~1,...,N(``j);~{j=c,s,w,cn,sf,b}.} 9LEP(j)~=~epremr(j)cdotreve(j),~j~=~c,`s,`w,`cn,`sf,`b.XXGLEPXX{G(XXGjXXG)XXGXX_GepremrXXG(XXGjXXG)XX[GXXGreveXXG(XX%GjXX]G)XXG,XX) GjXX GXX GcXX G,XX) GsXXw G,XX GwXXE G,XX GcnXXI G,XX GsfXXG,XX_GbXXG. GLEP(j)~=~epremr(j)cdotPP65(j)cdotreve(j),~j~=~c,`s,`w,`cn,`sf,`b.XXGLEPXX{G(XXGjXXG)XXGXX_GepremrXXG(XXGjXXG)XX[GXXGPP65XXIG(XXGjXXG)XX GXX7 GreveXX G(XX GjXX G)XXI G,XX GjXXc GXX3 GcXX G,XX GsXX!G,XXiGwXXG,XX7GcnXXG,XX;GsfXXG,XX GbXXmG. _@  @ STACK{  ALIGNL{epremrw(j)~=~FUNC{\beta}(j,0)``+``FUNC{\beta}(j,1)erate(j)``+``FUNC{\beta}(j,2)erate(j)^2``+``FUNC{\beta}(j,3)covwf}#ALIGNL{~~+``FUNC{\beta}(j,4)covwf^2``+``FUNC{\beta}(j,5)`{efyld(j)}̀OVER{yldR05(j)}``+``FUNC{\beta}(j,6)({efyld(j)}OVER{yldR05(j)})^2``+``FUNC{\beta}(j,7)cvp(j)}#ALIGNL{~~+``FUNC{\beta}(j,8)cvp(j)^2``+``FUNC{\beta}(j,9)erate(j)````covwf``+``FUNC{\beta}  (j,10)erate(j)````{efyld(j)}OVER{yldR05(j)}}#  ALIGNL{~~+``FUNC{\beta}(j,11)erate(j)````cvp(j)~~+``FUNC{betac} `` (j,12)covwf````{efyld(j)}OVER{yldR05(j)}}# ,,  ALIGNL{~~+``FUNC{betac}(j,13)covwf````cvp(j)~~+``FUNC{\beta}   (j,14)````{efyld(j)}OVER{yldR05(j)}````cvp(j),`j~=~c,`s,`w,`cn,`sf,`b.}   }!"%%aepremrw%%a(%%aj%%a)%%a%%aabeta%%a(%%aj%%a,%%5a0%%a)%%a%%abeta%%a(%%aj%%3 a,%%a a1%% a)%% aerate%%w a(%% aj%% a)%%O a%% abeta%%a(%%Waj%%a,%%a2%%a)%%Saerate%%a(%% aj%%Aa)nn2%%a%%{abeta%%a(%%aj%%!a,%%Oa3%%a)%%acovwf%%/%%L/beta%%/(%%/j%%/,%% /4%%|/)%%/covwfnnw2%%/%%/beta%%/(%%/j%%'/,%%U/5%%/)H% Y%%s efyld%% (%% j%%M )%%" yldR05%%, (%%j j%% )%% /%% /beta%% /(%% /j%%T/,%%/6%%/)%%/(H%eY%%efyld%%2(%%pj%%)%%yyldR05%%(%%j%%)%%G/)nnw2%%/%%/beta%%/(%%/j%%'/,%%U/7%%/)%%/cvp%%/(%%-/j%%a/)%%g%%Lgbeta%%g(%%gj%%g,%% g8%%|g)%%gcvp%%g(%%gj%%,g)nnj2%%g%%fgbeta%%g(%%gj%% g,%%:g9%%g)%%gerate%%P g(%% gj%% g)%%( g%%~ gcovwf%%T g%% gbeta%%g(%%\gj%%g,%%g10%%vg)%%gerate%%0g(%%ngj%%g)%%gH%i%%efyld%%6(%%tj%%)%%}yldR05%%(%%j%%)%%%%Lbeta%%(%%j%%,%% 11%%)%%erate%%(%%j%%)%%j%%cvp%%(%%j%%2)%% %% betac%%- (%%k j%% ,%% 12%% )%% covwf%%H%%%_efyld%%(%%j%%9)%% yldR05%% (%%V j%% )%%%%Lbetac%%(%%j%%D,%%r13%%*)%%hcovwf%%>%%cvp%%(%%j%%)%%%%{ beta%% (%% j%%! ,%%O 14%% )%%m H% %%3 =efyld%%=(%%=j%% =)%% AyldR05%%A(%%*Aj%%^A)%%%%.cvp%%.(%%lj%%)%%,%% j%%%%bc%%,%%s%%>,%%w%%,%%<cn%%,%%,sf%%,%%b%%F. GLEP(j)~=~epremr(j)cdotPP70(j)cdotreve(j),~j~=~c,`s,`w,`cn,`sf,`b. sumfromXXGLEPXX{G(XXGjXXG)XXGXX_GepremrXXG(XXGjXXG)XX[GXXGPP70XXIG(XXGjXXG)XX GXX7 GreveXX G(XX GjXX G)XXI G,XX GjXXc GXX3 GcXX G,XX GsXX!G,XXiGwXXG,XX7GcnXXG,XX;GsfXXG,XX GbXXmG. ##Xd# _@  @ perlia(j)~=~{minrev(j)SUMFROM{i`=`1}TO{N_j}{acre(j,`i)share(j,`i)}  }OVER{SUMFROM{j`=`1}TO6{minrev(j)}SUMFROM{i`=`1}̀TO{N_j}{acre(j,`i)share(j,`i)}}`j~=~c,`s,`w,`cn,`sf,`b. `_@ @ wfpremr~=~max(wfpremr,~FUNCround(minratefactor``cdot``wfpremre),4)!"%%i premr%%i (%%(i j%%\i ,%%i i%%i )%%Li %% i beta%%Hi (%%i j%%i ,%%i 0%%li )%%i %%i beta%%i (%%\ i j%% i ,%% i 1%% i )%%X i rate%% i (%% i j%% i ,%%J i i%%~ i )%% i %% i beta%%i (%%ni j%%i ,%%i 2%%,i )%%ji rate%%i (%%i j%%.i ,%%\i i%%i )nn 2%%\i %%i beta%%Xi (%%i j%%i ,%% i 3%%|i )%%i cover%%Ti (%%i j%%i )%% %%` beta%% (%% j%%8 ,%%f 4%% )%% cover%% (%% j%%4 )nnr 2%% %% beta%% (%%b j%% ,%% 5%% ) %i %% fyld%% (%%B j%%v ,%% i%% )%%}  yldR05%% (%% j%%! )%% %% beta%% (%%% j%%Y ,%% 6%% )%%! ( %j %% fyld%% (%%C j%%w ,%% i%% )%%~ yldR05%% (%% j%%" )%%t )nn 2%%y%%_ybeta%%y(%%yj%%7y,%%ey7%%y)%%ycvp%%y(%%eyj%%y)%%'y%%ybeta%%# y(%% yj%% y,%% y8%%G y)%% ycvp%% y(%% yj%% y)nn] 2%% y%%ybeta%%y(%%Myj%%y,%%y9%% y)%%Iy(%%yrate%%y(%%yj%%Ky,%%yyi%%y)%%y%%iycover%%y(%%iyj%%y)%%a%%beta%%](%%j%%,%%%10%%)%%rate%%E(%%j%%,%% i%%A )%%  % %%e fyld%%{ (%% j%% ,%%C i%%w )%% yldR05%%& (%% j%% )%%b %% beta%%^(%%j%%,%%&11%%)%%rate%%F(%%j%%,%%i%%B)%%%%cvp%%(%%dj%%)%%+?%%?beta%%'?(%%?j%%?,%%?12%%?)%%?cover%%?(%%?j%% ?)%% ? % i%%= fyld%%S (%% j%% ,%% i%%O )%% yldR05%% (%%d j%% )%%: ?%% ?beta%%6?(%%?j%%?,%%?13%%?)%%?cover%%?(%%?j%%(?)%%?%%?cvp%%?(%%J?j%%~?)%%c%%!beta%%_(%%j%%,%%'14%%)%%cvp%%(%%j%%)%%  %~ %% =fyld%% =(%%W =j%% =,%% =i%% =)%% AyldR05%% A(%% Aj%%6 A)%%) i%% %%k1%%,%%.%%#.%%Q.%%,%%N%%'(%%j%%)%%;%%j%%%%%c%%w,%%s%%,%%w%%,%%cn%%q,%%sf%%,%%Ib%%.XXGwfpremrXXGXXGmaxXX?G(XXGwfpremrXX'G,XXGroundXX G(XX G minratefactorXX=GXXGwfpremreXXG)XXG,XX G4XXqG)XX[perliaXX[(XX=[jXXu[)XX[&:XXXqminrevXXq(XXqjXX.q)XXp8IlN,,Ajsi1XXqacreXX q(XX' qjXX_ q,XX qiXX q)XX! qshareXX q(XX qjXXW q,XX qiXX q)XXIM67j8771XXminrevXX>(XXjXX)XXI*N,,j7i1771XX acreXXo (XX jXX ,XX1 iXXi )XX shareXXg (XX jXX ,XX)iXXa)XX[jXX_[XX/[cXX[,XX[sXX[,XXe[wXX[,XX3[cnXX[,XX7[sfXX[,XX[bXXi[. _@ @ stack{psubou(j,`i)~={~min(subaphou(j,`i),~FUNC{round}(subfact(j)````TLP(j,`i),0)),`}  #{i~=~1,`.`.`.`,`N(j);`~j~=~c,`s,`w,`cn,`sf,`b.}} \  `&Times New Roman_Toc423922456 _@ @ stack{TLWFPsub(j,i)~FUNC{=}~FUNC{round}(LWFP(j)``cdot``acre(j,i)``cdot``share(j,i)),0)``-``#FUNC{  round}(subfacte(j)````FUNC{round}(LWFP(j)``cdot``acre(j,i)``cdot``share(j,i)),0),0)}#{i~=~1,...,N(j)`;```j~=~c,`s,`w,`cn,`,sf,`b.}XX(TLWFPsubXX(XXjXX.,XX`iXX)XX2XXroundXX(XXLWFPXX (XX^ jXX )XX XXb acreXX (XX jXX> ,XXp iXX )XXXXtshareXX0(XXrjXX,XXiXX)XXV)XX,XX0XX.)XXXX#roundXX#(XX+#subfacteXX#(XX#jXX?#)XX#XX #roundXX#(XX#LWFPXX% #(XXg #jXX #)XX #XXk #acreXX #(XX #jXXG #,XXy #iXX #)XX#XX}#shareXX9#(XX{#jXX#,XX#iXX#)XX_#)XX#,XX#0XX7#)XXy#,XX#0XX#)XXmGiXXGXXG1XX1G,XXcG.XXG.XXG.XXG,XX+GNXXG(XXGjXX+G)XXG;XXGjXX GXX] GcXX G,XX GsXXK G,XX GwXX G,XXa GcnXX G,XXe G,XX GsfXXG,XXeGbXXG.XX#psubouXXY#(XX#jXX#,XX#iXXS#)XX#XX#minXX#(XX7#subaphouXXA #(XX #jXX #,XX #iXX; #)XX} #,XX #roundXX #(XX #subfactXX]#(XX#jXX#)XXE#XX#TLPXX#(XX?#jXXw#,XX#iXX#)XX9#,XXk#0XX#)XX#)XXS#,XXGiXXyGXXIG1XXG,XXG.XX=G.XXG.XXG,XXGNXXG(XXGjXX G)XXW G;XX GjXX GXX] GcXX G,XX GsXXK G,XX GwXX G,XXa GcnXXG,XXeGsfXXG,XX3GbXXG. k_@ @ subaphe(j)~=~SUMFROM{i`=`1}TO{N(j)}{subaphb}(j,`i),`j~=~c,`s,`w,`cn,`sf,`bLevel 1Level 2Level 3Level 4Level 5%2A`Arial(Z3)L$ 6L!XXXXXX  ($$   1      'dxdNPQRC<<C Rsubfacte(j)~=~3.7074~-~7.90314``cdot``covere(j)~+~4.371429``cdot``covere(j)sup2XXGsubfacteXXG(XXGjXX+G)XXGXXG3XXG.XX+G7074XXGXXG7XXGG.XXyG90314XX GXX GcovereXX G(XXK GjXX G)XXGXXG4XXQG.XXG371429XXGXXeGcovereXXwG(XXGjXXG)32 LWFP~=~wfpremr~cdot~revwfXXGLWFPXXuGXXEGwfpremrXXCGXXGrevwf XXsubapheXX(XXjXX+)XXXXIN(jC)7i7*71XXsubaphbXXN(XXjXX,XX iXXH )XX ,XX jXXb XX2 cXX ,XX sXX ,XXh wXX ,XX6 cnXX ,XX:sfXX,XXb _revb(`j,i)~=~cover(`j)`cdot`fyld(`j,i)`cdot`chip(`j),``i~=~1,...,N(`j),~j`=`c,`s,`w,`cn,`sf,`b. _@ @ stack{psube(j)~=~sumfrom{i=1}to{N(j)}FUNC{round}(subfacte(j)````FUNC{round}(LEP(j)``cdot``acre(j,i)``cdot``share(j,i)),0),0)),``}  #{```j~=~c,`s,`w,`cn,`sf,`b}XXpsubeXX(XX+jXXc)XXXXIN)(Uj{)iT1XXroundXX(XXsubfacteXX (XX jXX )XXv XX roundXX (XX LEPXXL(XXjXX)XX4XXacreXX(XX6jXXn,XXiXX)XXFXXshareXX`(XXjXX,XX iXXD)XX)XX,XX0XX^)XX,XX0XX6)XXx)XX,XXk FjXX FXX FcXX# F,XXk FsXX F,XX FwXX F,XX FcnXX F,XX FsfXXYF,XXFb covwf~=~{revwf}over{{sumfrom{j=c,s,w,cn,sf,b}chip(``j)sumfrom{i=1}to{N(``j)}share(``j,i)acre(``j,i)fyld(``j,i)}over{sumfrom{j=c,s,w,cn,sf,b}sumfrom{i=1}to{N(``j)}share(``j,i)acre(``j,i)}}~{j=c,s,w,cn,sf,b}.,cAZ"Arial Regular minrevwf~=~.65left[sumfrom{j=c,s,w,cn,sf,b}{chip(j)sumfrom{i=1}to{N(j)}share(j,i)acre(j,i)fyld(j,i)}over{sumfrom{j=c,s,w,cn,sf,b}  sumfrom{i=1}to{N(j)}share(j,i)acre(j,i)}right]XX8minrevwfXXW8XX'8.XXY865XX!vXX!xXX!SxXX!xXX!xXX!xXX!?xXX!xXX!xXX!pxXX!+xXX!xXX!wXX}XXXXSXXXXXXXX?XXXXXXpXX+XXXX~XXcIMjsc,!sU,ww,cns,sf,b;XfXXNchipXX N(XXH NjXX N)XX I &N &(J &jp &) i I 1XX NshareXX N(XX NjXX N,XX=NiXXuN)XXNacreXXN(XX[NjXXN,XXNiXXN)XX?NfyldXXkN(XXNjXXN,XXNiXXON)XXW IA 7jg 7 7c 7, 7sI 7,k 7w 7, 7cng 7, 7sf 7, 7bXX I N ( j. ) 7i 7 71XX shareXXO(XXjXX,XXiXX3)XXuacreXX(XXjXXQ,XXiXX) d maxrevwf~=~.85left[sumfrom{j=c,s,w,cn,sf,b}{chip(j)sumfrom{i=1}to{N(j)}share(j,i)acre(j,i)fyld(j,i)}over{sumfrom{j=c,s,w,cn,sf,b}sumfrom{i=1}to{N(j)}share(j,i)acre(j,i)}right]XX8maxrevwfXXw8XXG8.XXy885XXAvXXAxXXASxXXAxXXAxXXAxXXA?xXXAxXXAxXXApxXXA+xXXAxXXAwXX}XXXXSXXXXXXXX?XXXXXXpXX+XXXX~XXImjc,Asu,w,cn,sf,1b;XfXXNchipXX& N(XXh NjXX N)XX I &N> &(j &j &) i i 1XX NshareXX N(XX NjXX+N,XX]NiXXN)XXNacreXX9N(XX{NjXXN,XXNiXXN)XX_NfyldXXN(XXNjXXN,XX7NiXXoN)XXw Ia 7j 7 7c 7,5 7si 7, 7w 7, 7cn 7, 7sf 7,% 7bXX I N (( jN ) 7i 7' 71XX shareXXo(XXjXX,XXiXXS)XXacreXX(XX9jXXq,XXiXX)(9 Z6Times New Roman RegularTable_A _@ @ STACK{  ALIGNL{erate(`j)~=~avgrate(`j)````(1``-``(nsect(`j)``-``1)`{0.5}  ЀOVER9)~~~FUNC{\if\\}nsect(j)~~10,}#  ALIGNL{FUNC{else\\}~erate(`j)~=~0.5avgrate(`j)}}^9ps(` `E^^9tu(` `E^;~j~=~s,`w,`cn,`sf,`b. _ @ STACK{  ALIGNL{erate(c)~=~avgrate(c)````(1``-``(nsect(c)``-``1)`{0.4}  ЀOVER9)~~~FUNC{\if\\}nsect(c)~~10,}#  ALIGNL{FUNC{else\\}~erate(c)~=~0.6avgrate(c)}}XXcovwfXXG~RX#XX revwfPQXEfXXqI[jc ,/sc,w,cn,sf,bXXNchipXXN(XX`NjXXN)XXI&N4 &(} &j &)i m 1XX NshareXX N(XX0 NjXXh N,XX NiXX N)XX NacreXXvN(XXNjXXN,XXNNiXXN)XXNfyldXXN(XXbNjXXN,XXNiXXN)XXI7j707cl7,7s7,7w>7,`7cn7,7sf\7,~7bXX INS ( j ) 7i< 7 71XX% shareXX (XXO jXX ,XX iXX )XX3 acreXX(XXjXX;,XXmiXX)XXjXXXXzcXX,XXsXXR,XXwXX ,XX<cnXX,XX*sfXX,XXbXXF. _@ @ psubwf~=~sumfrom{c,s,w,cn,sf,b}sumfrom{i=1}to{N(j)}FUNC{round}(subfactwf``cdot``round(LWFP``cdot``acre(j,i)``cdot``share(j,i)),0),0)),``eratel(c)oavgrate(Tc)H(1(nsect (H c ) v 1 ) 0 0 . 4o 9 )(  R if    nsectf(c)i10,:else: B: :erate :(E:c:)::0:.;:6:avgrate:(:c:) _ @ STACK{  ALIGNL{erate(c)~=~avgrate(c)````(1``-``(nsect(c)``-``1)`{0.4}  ЀOVER9)~~~FUNC{\if\\}nsect(c)~~10,}#  ALIGNL{FUNC{else\\}~erate(c)~=~0.6avgrate(c)}}eratel(c)oavgrate(Tc)H(1(nsect (H c ) v 1 ) 0 0 . 4o 9 )(  R if    nsectf(c)i10,:else: B: :erate :(E:c:)::0:.;:6:avgrate:(:c:)XXerateXX(XX jXXA)XXXXavgrateXX (XXejXX)XX XXi(XX1XX;XX(XX! nsectXX (XX jXXK )XX XX] 1XX )X% XX; 10XX 1.XX 15XX "9XXK)XX XXifXXA XXs XXnsectXX?(XXjXX)XXSXX#10XX,XXFelseXXMF XXF XX FerateXXF(XXFjXX3F)XXFXXF0XXF.XX3F5XXFavgrateXXF(XXQ FjXX F)XX;;XX;jXX=;XX ;sXX[;,XX;wXX);,XXq;cnXX-;,XXu;sfXX;,XXC;bXX;. w_@ @ LWFP~=~wfpremr````revwf````{{SUMFROM{j`=`c,`s,`w[9z#! `XE![,`cn,`sf,`b}  Ѐ{PP65(j)(SUMFROM{i`=`i}TO{N(j)}{acre(j,`i)share(j,`i)})}}}over{{SUMFROM{j`=`c,`s,`w,`cn,`sf,`b}{SUMFROM{i`=`i}̀TO{N(j)}{acre(j,`i)share(j,`i)}}}} LWFP~=~wfpremr~cdot~revwf psurc~=~1.05XXGpsurcXX+GXXG1XX_G.XXG05 psurc~=~1.0XXGpsurcXX+GXXG1XX_G.XXG0 (9 Z6Times New Roman RegularXXGLWFPXX^GXX.GwfpremrXX,GXXGrevwfXX8LWFPXX{8XXK8wfpremrXX8XX{8revwfXXc8lHXfXX* Ij u c , s ,E w , cnO , sf , bXX NPP65XX@N(XXNjXXN)XXN(XX>I@&N&(&j&)PiiXXQNacreXXN(XXNjXX-N,XXuNiXXN)XXNshareXXN(XXNjXX%N,XXmNiXXN)XXN)XX Ia 7j 7 7c/ 7,_ 7s 7, 7w 7,M 7cn 7, 7sfW 7, 7bXXIN^(j)7iH77iXXacreXXw(XXjXX,XX9iXXq)XXshareXXo(XXjXX,XX1iXXi)Table_ATable_AXXpsubwfXXXXRIw7c7,7s 7,+7w7,7cn'7,I7sf7,7bXX@IBN(j)Q7iw771XXSroundXX% (XXg subfactwfXX XX roundXX(XXLWFPXXCXXacreXX(XXEjXX},XXiXX)XXUXXshareXXo(XXjXX,XXiXXS)XX)XX,XX 0XXm)XX,XX0XXE)XX)XX,1 d Hsubfactwf~=~3.7074~-~7.90314``cdot``covwf~+~4.371429``cdot``covwfsup2XXG subfactwfXXoGXX?G3XXG.XXG7074XXGXXG7XXG.XX#G90314XXC GXX GcovwfXX GXX G4XX G.XX1G371429XXGXXGcovwf2Table_ATable_ATable_A _@ @ stack{TLWFPsub(j,i)~FUNC{=}~FUNC{round}(LWFP(j)``cdot``acre(j,i)``cdot``share(j,i)),0)``-``#FUNC{  round}(subfactwf(j)````FUNC{round}(LWFP(j)``cdot``acre(j,i)``cdot``share(j,i)),0),0)}#{i~=~1,...,N(j)`;```j~=~c,`s,`w,`cn,`,sf,`b.}XX[TLWFPsubXX(XX)jXXa,XXiXX)XXeXX5roundXX(XXILWFPXXO (XX jXX )XX7 XX acreXX (XX9 jXXq ,XX iXX )XXIXXshareXXc(XXjXX,XXiXXG)XX)XX,XX0XXa)XXXX#roundXX#(XX+# subfactwfXX+#(XXm#jXX#)XX#XXq#roundXXC#(XX#LWFPXX #(XX #jXX #)XXs #XX #acreXX3 #(XXu #jXX #,XX #iXX#)XX#XX#shareXX#(XX#jXX#,XXK#iXX#)XX#)XX#,XX9#0XX#)XX#,XX#0XXu#)XXGiXX0GXXG1XXdG,XXG.XXG.XXG.XX,G,XX^GNXXG(XX&GjXX^G)XXG;XX0 GjXX GXX GcXX G,XX0 GsXX~ G,XX GwXXL G,XX GcnXXP G,XX G,XX GsfXXPG,XXGbXXG. _@ @ stack{TLWFPsub(j,i)~FUNC{=}~FUNC{round}(LWFP``cdot``acre(j,i)``cdot``share(j,i)),0)``-``subaphb(j,i)}#{i~=~1,...,N(j)`;```j~=~c,`s,`w,`cn,`,sf,`b.}XX#TLWFPsubXX#(XX#jXX#,XXO#iXX#)XX!#XX#roundXX#(XX#LWFPXX7 #XX #acreXX #(XX9 #jXXq #,XX #iXX #)XXI #XX #shareXXc#(XX#jXX#,XX#iXXG#)XX#)XX#,XX#0XXa#)XX#XXs#subaphbXX#(XX[#jXX#,XX#iXX#)XXGiXXtGXXDG1XXG,XXG.XX G.XX>G.XXpG,XXGNXX( G(XXj GjXX G)XX G;XXt GjXX GXX GcXX, G,XXt GsXX G,XX GwXX G,XX GcnXXG,XXG,XXGsfXXG,XXGbXX@G. [rate(``j,i)~=~hrisk``cdot``rateou(``j,i)``cdot``0.9,~i=1,...,N(``j);```{j~=~c,s,w,cn,sf,b}XXGrateXXYG(XXGjXXG,XX1GiXXiG)XXGXXGhriskXXGXXGrateouXXG(XXeGjXXG,XXGiXX G)XXu GXX G0XX7 G.XXi G9XX G,XXW GiXX GXX G1XXk G,XX G.XX G.XX G.XX3 G,XXe GNXX G(XXYGjXXG)XXG;XXMGjXXGXXGcXXG,XX7GsXXG,XXGwXX=G,XXoGcnXX+G,XX]GsfXXG,XXGb _@ @ TLP(j,`i)~=~LP(j,`i)````acre(j,`i)````share(j,`i),~i~=~1,`.`.`.`,`N(j);`~{j~=~c,s,w,cn,sf,b}XX.#XX#XXGTLPXXqG(XXGjXXG,XX3GiXXkG)XXGXXGLPXXG(XXGjXX9G,XXGiXXG)XX'GXXGacreXXG(XX)GjXXaG,XXGiXXG)XXO GXX GshareXXi G(XX GjXX G,XX+ GiXXc G)XX G,XX/ GiXX GXXG1XXG,XX;G.XXG.XXG.XXG,XX[GNXXG(XX#GjXX[G)XXG;XXCGjXXGXXGcXXG,XX-GsXX{G,XXGwXX3G,XXeGcnXX!G,XXSGsfXXG,XX GbXXoG. _@ @ avgrate(j)~=~{SUMFROM{i`=`1}TO{N(j)}{share(j,`i)acre(j,`i)}  rate(j,`i)}OVER{SUMFROM{i`=`1}TO{N(j)}{share(j,`i)acre(j,`i)}}`{j~=~c,s,w,cn,sf,b}XX.#XX# _@ @ efyld(j)~=~{SUMFROM{i`=`1}TO{N(j)}{share(j,`i)acre(j,`i)}  fyld(j,`i)}OVER{SUMFROM{i`=`1}TO{N(j)}{share(j,`i)acre(j,`i)}}`{j~=~c,`s,`w,`cn,`sf,`b}XX.#XX#XX8avgrateXX8(XX8jXX8)XX8%2XofXXI&N&( &j3&)i1XXNshareXXTN(XXNjXXN,XXNiXXNN)XXNacreXX N(XX4 NjXXl N,XX NiXX N)XX. NrateXXp N(XX NjXX N,XX2 NiXXj N)XXIN (Ljr)7i7Y71XXshareXX(XXjXX ,XXU iXX )XX acreXX1 (XXs jXX ,XX iXX+ )XX 8jXXh8XX88cXX8,XX8sXX8,XXB8wXX8,XX8cnXX8,XX8sfXXn8,XX8bXX8. _@ @ STACK{  ALIGNL{erate(c)~=~avgrate(c)````(1``-``(nsect(c)``-``1)`{0.4}  ЀOVER9)~~~FUNC{\if\\}nsect(c)~~10,}#  ALIGNL{FUNC{else\\}~erate(c)~=~0.6avgrate(c)}}XX8efyldXX8(XX8jXX8)XX81XfXXI&N&(/&jU&)i<1XXNshareXXvN(XXNjXXN,XX8NiXXpN)XXNacreXX N(XXV NjXX N,XX NiXX N)XXP NfyldXX| N(XX NjXX N,XX> NiXXv N)XXIN7(cj)7i7p71XXshareXX(XXjXX$,XXliXX)XXacreXXH (XX jXX ,XX iXXB )XX 8jXXt 8XXD8cXX8,XX8sXX28,XXz8wXX8,XXH8cnXX8,XXL8sfXX8,XX8bXX~8.XXerateXX(XXcXXK)XXXXavgrateXX(XXYcXX)XXXX}(XX1XXOXX(XX5 nsectXX (XX cXXi )XX XX{ 1XX )XC XXY 10XX 1.XX 14XX "9XXi)XX XXifXX_ XX XXnsectXX](XXcXX)XXXXa10XX),XXFelseXXMF XXF XX FerateXXF(XXFcXX=F)XXFXXF0XX F.XX=F6XXFavgrateXX F(XXE FcXX F)Table_A Table_ATable_K ecover(j)~=~{reve(``j)}over{{chip(``j)sumfrom{i=1}to{N(``j)}share(``j,i)acre(``j,i)fyld(``j,i)}over{sumfrom{i=1}to{N(``j)}share(``j,i)acre(``j,i)}}~{j=c,s,w,cn,sf,b}XXecoverXX/(XXqjXX)XXC@XXX reveXX^ (XX jXX )?XAfXXWNchipXXN(XXNjXXUN)XXI&N&(:&j`&)i*1XXNshareXX N(XX NjXX% N,XXW NiXX N)XX NacreXX3 N(XX NjXX N,XX NiXXC N)XX NfyldXXN(XXNjXXWN,XXNiXXN)XXIN(Yj)7i7I71XXshareXX (XX jXXD ,XXv iXX )XX acreXXR (XX jXX ,XX* iXXb )XXjXXXX7cXX,XXsXX,XXAwXX,XXcnXX,XXsfXXm,XXb(uH ZDTimes New Roman (PCL6) Regular stack{premr(``j,i)~=~\beta(``j,0)~+~\beta(``j,1)rate(``j,i)~+~\beta(``j,2)rate(``j,i)sup2~+~\beta(``j,3)cover(``j)#~#  ~+~\beta(``j,4)cover(``j)sup2~+~\beta(``j,5){fyld(``j,i)}over{yldR05(``j)}~+~\beta(``j,6)({fyld(``j,i)}over{yldR05(``j)})sup2#~#~+~\beta(``j,7)cvp(``j)~+~\beta(``j,8)cvp(``j)sup2~+~\beta(``j,9)(rate(``j,i)``cdot``cover(``j)#~#~+~\beta(``j,10)rate(``j,i)``cdot``{fyld(``j,i)}over{yldR05(``j)})sup2~+~\beta(``j,11)rate(``j,i)``cdot``cvp(``j)~#~#+~\beta(``j,12)cover(``j)``cdot``{fyld(``j,i)}over{yldR05(``j)})~+~\beta(``j,13)cover(``j)``cdot``cvp(``j)~#~#+~\beta(``j,14)cvp(``j)``cdot``{fyld(``j,i)}over{yldR05(``j)}~~i~=~1,...,N(``j);~{j=c,s,w,cn,sf,b}.}Table_A _@ @ TLWFP~=~SUMFROM{j=c,`s,`w,`cn,`sf,`b}{SUMFROM{i`=`i}  ЀTO{N(j)}round(LWFP````{acre(j,i)``cdot``share(j,i)},0)}XXTLWFPXXXXI7j7+7cg7,7s7,7wU7,7cn7,57sf7,7bXX:I<N(j)L7i77iXXMroundXX+ (XXm LWFPXX XX acreXX_(XXjXX,XX iXXC)XXXXshareXX(XX jXXE,XXwiXX)XX,XX#0XX)<6X9`(Courier New psurc~=~1.05XXGpsurcXX+GXXG1XX_G.XXG05 psurc~=~1.0XXGpsurcXX+GXXG1XX_G.XXG0XXGrevbXXyG(XXGjXX G,XX;GiXXsG)XX GXXGcoverXXG(XXGjXX'G)XXGXXGfyldXXG(XXKGjXXG,XXGiXXG)XXE GXX GchipXX G(XX= GjXXu G)XX G,XX GiXX GXXu G1XX G,XX G.XX=G.XXoG.XXG,XXGNXXYG(XXGjXXG)XX+G,XXGjXXGXXGcXXG,XX1GsXXG,XXGwXXMG,XXGcnXXQG,XXGsfXXG,XXgGbXXG.!"%%i premr%%i (%%=i j%%qi ,%%i i%%i )%%ai %%i beta%%]i (%%i j%%i ,%%%i 0%%i )%%i %%i beta%% i (%%q i j%% i ,%% i 1%%/ i )%%m i rate%% i (%% i j%%1 i ,%%_ i i%% i )%%! i %% i beta%%i (%%i j%%i ,%%i 2%%Ai )%%i rate%%i (%%i j%%Ci ,%%qi i%%i )nn 2%%qi %%/i beta%%mi (%%i j%%i ,%%5i 3%%i )%%i cover%%ii (%%i j%%i )%% %%u beta%% (%% j%%M ,%%{ 4%% )%% cover%% (%% j%%I )nn 2%% %% beta%% (%%w j%% ,%% 5%%5 ) %~ %% fyld%% (%%W j%% ,%% i%% )%%  yldR05%% (%% j%%6 )%% %% beta%% (%%: j%%n ,%% 6%% )%%6 ( % %% fyld%% (%%X j%% ,%% i%% )%% yldR05%% (%% j%%7 )%% )nn 2%%y%%tybeta%%y(%%yj%%Ly,%%zy7%%y)%%ycvp%%y(%%zyj%%y)%%<y%%ybeta%%8 y(%% yj%% y,%% y8%%\ y)%% ycvp%% y(%% yj%%4 y)nnr 2%%y%%ybeta%%y(%%byj%%y,%%y9%% y)%%^y(%%yrate%%y(%%,yj%%`y,%%yi%%y)%%(y%%~ycover%%y(%%~yj%%y)%%8%%beta%%4(%%j%%,%%10%%)%%rate%%(%%j%%,%%i%% )%%~  % %%< fyld%%R (%% j%% ,%% i%%N )%% yldR05%% (%%c j%% )%% )nn' 2%% %%sbeta%%(%%j%%K,%%y11%%1)%%orate%%(%%j%%3,%%ai%%)%%%%Qcvp%%Q(%%j%%)%%!?%%?beta%%?(%%?j%%?,%%?12%%?)%%?cover%%u?(%%?j%% ?)%%u ? % i%%3 fyld%%I (%% j%% ,%% i%%E )%% yldR05%% (%%Z j%% )%% ?)%%n ?%%,?beta%%j?(%%?j%%?,%%2?13%%?)%%(?cover%%?(%%(?j%%\?)%%?%%?cvp%%?(%%~?j%%?)%%x%%6beta%%t(%%j%%,%%<14%%)%%2cvp%%2(%%j%%)%%2  % %% =fyld%% =(%%l =j%% =,%% =i%% =)%% AyldR05%% A(%% Aj%%K A)%%> i%% %%1%%,%% .%%8.%%f.%%,%%N%%<(%%j%%)%%;%%j%%%%:c%%,%%s%%,%%0w%%,%%cn%%,%%sf%%0,%%^b%%. Osubfact(j)~=~3.7074~-~7.90314``cdot``cover(j)~+~4.371429``cdot``cover(j)sup2XXGsubfactXXYG(XXGjXXG)XXmGXX=G3XXG.XXG7074XXGXXG7XXG.XX!G90314XXA GXX GcoverXXY G(XX GjXX G)XXm GXX=G4XXG.XXG371429XXWGXXGcoverXXoG(XXGjXXG)+2 _@ @ TLP(j,`i)~=~1.1LP(j,`i)````acre(j,`i)````share(j,`i),`i~=~1,`.`.`.`,`N(j);~{j~=~c,s,w,cn,sf,b}XX.#(XX# _@  @ TLEP(j)~=~sumfrom{i=1}to{N(j)}FUNC{round}(LEP(j)````{acre(j,`i)share(j,`i)},0)  ;~~j~=~c,`s,`w,`cn,`sf,`b.?@+ 4 <DL!!? minreve(j)~=~.65{chip(`j)sumfrom{i=1}to{N(`j)}share(`j,i)acre(`j,i)fyld(`j,i)}over{sumfrom{i=1}to{N(`j)}share(`j,i)acre(`j,i)},~j`=`c,`s,`w,`cn,`sf,`b.XX8minreveXX8(XX8jXX8)XX8XX8.XX865=XfXXNchipXXN(XXONjXXN)XXI&N#&(]&j&)iU1XXNshareXX N(XX NjXX2 N,XXd NiXX N)XX NacreXX@ N(XX NjXX N,XXNiXX:N)XX|NfyldXXN(XXNjXX8N,XXjNiXXN)XXINB(|j)7i$7t71XX shareXX (XX jXXQ ,XX iXX )XX acreXX_ (XX jXX ,XX!iXXY)XX8,XX8jXX8XX`8cXX8,XX8sXXN8,XX8wXX8,XXd8cnXX 8,XXh8sfXX8,XX68bXX8. maxreve(j)~=~.85{chip(`j)sumfrom{i=1}to{N(j)}share(j,i)acre(j,i)fyld(j,i)}over{sumfrom{i=1}to{N(j)}share(j,i)acre(j,i)},~j`=`c,`s,`w,`cn,`sf,`b.XX8maxreveXX8(XX8jXX98)XX8XX8.XX885;XfXXNchipXXN(XXoNjXXN)XXI&NE&(q&j&)i p1XXNshareXX N(XX NjXX2 N,XXd NiXX N)XX NacreXX@ N(XX NjXX N,XX NiXX$N)XXfNfyldXXN(XXNjXX N,XX>NiXXvN)XXINY(j)7i4771XX shareXX (XX jXXF ,XXx iXX )XX acreXXT (XX jXX ,XXiXX8)XX8,XXX8jXX8XX48cXX8,XX8sXX"8,XXj8wXX8,XX88cnXX8,XX<8sfXX8,XX 8bXXn8.XXGTLPXXqG(XXGjXXG,XX3GiXXkG)XXGXXG1XX9G.XXkG1XXGLPXXG(XXGjXX3G,XX{GiXXG)XX!GXXGacreXXG(XX# GjXX[ G,XX GiXX G)XXI GXX GshareXXc G(XX GjXX G,XX% GiXX] G)XX G,XX GiXXwGXXGG1XXG,XXG.XX;G.XXG.XXG,XXGNXXG(XXGjXXG)XXUG;XXGjXXuGXXEGcXXG,XXGsXXG,XXOGwXXG,XXGcnXXG,XXGsfXX{G,XXGbXXG.XXTLEPXX(XX-jXXe)XXXXIN+(Wj})7i7V71XXroundXX(XXLEPXXZ(XXjXX)XXB XX acreXX (XXD jXX| ,XX iXX )XX> shareXX (XX<jXXt,XXiXX)XX6,XXh0XX)XX;XXjXXXXVcXX,XXsXXD,XXwXX,XXZcnXX,XX^sfXX,XX,bXX. d_@ @ STACK{  ALIGNL{subaphb(j,`i)~=~0.417````FUNC{round}[FUNC{round}(0.65````fyld(j,`i),1)````rate(j,`i)````APHp(j)````share(j,`i)}  #ALIGNL{~~~~~~``ppfact(j)````acre(j,`i)````psurc(j,`i),0]~i~=~1,`.`.`.`,`N(j);`j~=~c,`s,`w,`cn,`sf,`b} dd }XX#subaphbXX#(XX#jXX7#,XX#iXX#)XXQ#XX!#0XX#.XX#417XX#XXm#roundXX? #[XX #roundXXU #(XX #0XX #.XX- #65XX! #XX #fyldXX#(XX#jXX%#,XXm#iXX#)XX#,XX#1XX}#)XX#XXI#rateXX#(XX#jXX#,XXM#iXX#)XX#XXQ#APHpXX9#(XX{#jXX#)XX!#XX#shareXX;#(XX}#jXX#,XX#iXX5#)XX'GXXGppfactXXyG(XXGjXXG)XXaGXXGacreXX!G(XXcGjXXG,XXGiXXG)XXGXXGpsurcXX G(XX GjXX G,XXe GiXX G)XX G,XX G0XXu G]XX GiXX GXXqG1XXG,XXG.XXeG.XXG.XXG,XX=GNXXG(XXGjXX=G)XXG;XXGjXX]GXX-GcXXG,XXGsXXG,XXcGwXXG,XX1GcnXXG,XX5GsfXXG,XXGb _@ @ stack  {psubb(j,`i)~=~min(subaphb(j,`i),~FUNC{round}[subfact(j)````TLP(j,`i),0]),`  #{i~=~1,`.`.`.`,`N(j);`~j~=~c,`s,`w,`cn,`sf,`b.}} _@ @ stack{TLEPsub(j,i)~FUNC{=}~FUNC{round}(LEP(j)``cdot``acre(j,i)``cdot``share(j,i)),0)``-``#FUNC{  round}(subfacte(j)````FUNC{round}(LEP(j)``cdot``acre(j,i)``cdot``share(j,i)),0),0)}#{i~=~1,...,N(j)`;```j~=~c,`s,`w,`cn,`,sf,`b.}XXyTLEPsubXXc(XXjXX,XXiXXG)XXXXroundXX(XXLEPXX) (XXk jXX )XX XXo acreXX (XX jXXK ,XX} iXX )XX# XX shareXX=(XXjXX,XXiXX!)XXc)XX,XX0XX;)XXXX#roundXX#(XX+#subfacteXX#(XX#jXX?#)XX#XX #roundXX#(XX#LEPXX #(XX #jXX #)XXk #XX #acreXX+ #(XXm #jXX #,XX #iXX #)XX} #XX #shareXX#(XX#jXX#,XXC#iXX{#)XX#)XX#,XX1#0XX#)XX#,XX #0XXm#)XXGiXXGXX|G1XXG,XXG.XXDG.XXvG.XXG,XXGNXX`G(XXGjXXG)XX2G;XXGjXX< GXX GcXXd G,XX GsXX G,XXB GwXX G,XX GcnXX G,XX G,XXF GsfXX G,XXGbXXxG.XX#psubbXX#(XX7#jXXo#,XX#iXX#)XX#XXY#minXX#(XX#subaphbXXy#(XX#jXX#,XX; #iXXs #)XX #,XX? #roundXX #[XXU #subfactXX#(XX#jXX#)XX#XX#TLPXX7#(XXy#jXX#,XX#iXX1#)XXs#,XX#0XX #]XXM#)XX#,XXGiXXGXXG1XXKG,XXG.XXG.XX#G.XXkG,XXGNXX9G(XX{GjXXG)XXG;XX GjXX+ GXX GcXXS G,XX GsXX G,XX1 GwXX G,XX GcnXX G,XXGsfXXG,XXGbXX5G. _@  @ wfpremre~=~{SUMFROM{j`=`c,`s,`w,`cn`,sf`,b}{(SUMFROM{i`=`i}  ЀTO{N(j)}{FUNC{round}(epremrw(j)``cdot``acre(j,`i)share(j,`i),0)})}}over{``(SUMFROM{j`=`c,`s,`w,`cn`,sf`,b}̀{SUMFROM{i`=`i}TO{N(j)}{acre(j,`i)share(j,`i)}}}XX8wfpremreXXs8`XOfXXIejc3,cs,w!,Qcn,sfi,bXXN(XXHIJ&N&(&j&)ZiiXX[ NroundXX- N(XXo NepremrwXX5N(XXwNjXXN)XXNXX{NacreXXN(XXNjXXWN,XXNiXXN)XXNshareXXN(XXNjXXON,XXNiXXN)XXN,XXCN0XXN)XXN)XX(XX IZ7j77c( 7,X 7s 7, 7w 7,F 7cn 7, 7sf^ 7, 7bXX I NW ( j ) 7iA 7 7iXX acreXXp(XXjXX,XX2iXXj)XXshareXXh(XXjXX,XX*iXXb) ^_@ @ STACK{  ALIGNL{subaphou(j,`i)~=~0.417````FUNC{round}[FUNC{round}(0.65````fyld(j,`i),1)````rateou(j,`i)````APHp(j)`}  #ALIGNL{``share(j,`i)````ppfact(j)````acre(j,`i)````psurc(j,`i),0]~i~=~1,`.`.`.`,`N(j);`j~=~c,`s,`w,`cn,`sf,`b} dd }XX#subaphouXX!#(XXc#jXX#,XX#iXX#)XX#XX#0XX#.XX#417XXs#XX#roundXX #[XX #roundXX #(XX #0XX_ #.XX #65XX #XX #fyldXX#(XXQ#jXX#,XX#iXX #)XXK#,XX}#1XX#)XXO#XX#rateouXX#(XX#jXX1#,XXy#iXX#)XX#XX}#APHpXXe#(XX#jXX#)XXCGshareXXG(XXAGjXXyG,XXGiXXG)XXQGXXGppfactXXG(XXGjXX3G)XXGXXGacreXXaG(XXGjXXG,XX# GiXX[ G)XX GXX' GpsurcXX G(XX% GjXX] G,XX GiXX G)XX G,XXQ G0XX G]XXQGiXXGXXG1XXG,XX]G.XXG.XXG.XX5G,XX}GNXXG(XXEGjXX}G)XXG;XX GjXXGXXmGcXXG,XX GsXX[G,XXGwXX)G,XXqGcnXX-G,XXuGsfXXG,XXCGb _@ @ stack{TLEPsub(j,i)~FUNC  {=}~FUNC{round}(LEP(j)``cdot``acre(j,i)``cdot``share(j,i)),0)``-``subaphb(j,i)}#{i~=~1,...,N(j)`;```j~=~c,`s,`w,`cn,`,sf,`b.}XX#TLEPsubXX#(XXC#jXX{#,XX#iXX#)XX#XXO#roundXX!#(XXc#LEPXX#(XX #jXXA #)XX #XX #acreXXo #(XX #jXX #,XX #iXXS #)XX #XX #shareXX#(XX#jXXU#,XX#iXX#)XX#)XXC#,XXu#0XX#)XXG#XX#subaphbXX#(XX#jXX #,XX=#iXXu#)XXGiXX0GXXG1XXdG,XXG.XXG.XXG.XX,G,XX^GNXXG(XX& GjXX^ G)XX G;XX0 GjXX GXX GcXX G,XX0 GsXX~ G,XX GwXXL G,XX GcnXXPG,XXG,XXGsfXXPG,XXGbXXG. Xsubaphwf`=`subaphe(c)`+`subaphe(s)`+`subaphe(w)`+`subaphe(cn)`+`subaphe(sf)`+`subaphe(b)XXGsubaphwfXX-GXXGsubapheXXUG(XXGcXXG)XXGGXXGsubapheXXo G(XX GsXX G)XXW GXX GsubapheXXG(XXGwXXGG)XXGXX-GsubapheXXG(XX GcnXXG)XXGXXGsubapheXXEG(XXGsfXX G)XXeGXXGsubapheXXG(XXGbXX3G) u_@ @ TLPsub(`j,`i)~=~TLP(`j,`i)``-``psubb(`j,`i),`i~=~1,`.`.`.`,`N(`j);`j~=~c,`s,`w,`cn,`sf,`b.XXGTLPsubXXG(XXGjXXG,XX_GiXXG)XX1GXXGTLPXX[G(XXGjXXG,XX3GiXXkG)XXGXX}GpsubbXX[ G(XX GjXX G,XX3 GiXXk G)XX G,XX GiXX GXXU G1XX G,XXG.XXIG.XXG.XXG,XX!GNXXG(XXGjXX7G)XXyG;XXGjXXWGXX'GcXXG,XXGsXXG,XX]GwXXG,XX+GcnXXG,XX/GsfXXG,XXGbXXaG. t_@ @ TLPsub(j,`i)~=~TLP(j,`i)``-``psubou(j,`i),`i~=~1,`.`.`.`,`N(j);```j~=~c,`s,`w,`cn,`sf,`b.XXGTLPsubXXG(XXGjXXG,XXIGiXXG)XXGXXGTLPXXEG(XXGjXXG,XXGiXX?G)XXGXXQGpsubouXX G(XX GjXX G,XXU GiXX G)XX G,XX GiXX GXXw G1XX G,XX#G.XXkG.XXG.XXG,XXCGNXXG(XX GjXXCG)XXG;XXGjXXGXX_GcXXG,XXGsXXMG,XXGwXXG,XXcGcnXXG,XXgGsfXXG,XX5GbXXG. d3|x \  `*Times New RomanTTC\  P6QP\  `*Times New RomanTTXXP\  P6QXP\  `*Times New RomanTT^\  P6QP\  `*Times New RomanTT  k\  P6Q P%2A`ArialTTomanTTXXX2PQXP\  `*Times New RomanTTy\  P6QP%2A`ArialTTomanTTJ2PQP\  `*Times New RomanTT&&J\  P6Q&P%2A`ArialTTomanTTg2PQP<6X9`("Courier NewTTTTXXx6X@DQX@(>L$XXXXXXHP LaserJet 4000 Series PCL 60M -, dc\'(c          `w&WP}00001.TMPU XXLP(``j,i)~=~premr(``j,i)``cdot``revb(``j,i);```#XX#{j~=~c,s,w,cn,sf,b}XX.#XX# -XXLP(``j,i)~=~premr(``j,i)``cdot``PP65(``j)``cdot``revb(``j,i);```#XX#{j~=~c,s,w,cn,sf,b}XX.#XX#XX#XX#XXGLPXXG(XXoGjXXG,XXGiXXG)XXGXX{GpremrXXcG(XXGjXX G,XX;GiXXsG)XXGXX?GrevbXXG(XX GjXXG G,XXy GiXX G)XX G;XXm GjXX GXX GcXX% G,XXW GsXX G,XX GwXX] G,XX GcnXXKG,XX}GsfXXG,XX5GbXXG.XXGLPXXG(XXoGjXXG,XXGiXXG)XXGXX{GpremrXXcG(XXGjXX G,XX;GiXXsG)XXGXX?GPP65XXG(XXi GjXX G)XX GXXm GrevbXX G(XX= GjXXu G,XX GiXX G)XX! G;XX GjXX+GXXGcXXSG,XXGsXXG,XXGwXXG,XXGcnXXyG,XXGsfXX1G,XXcGbXXG. 'XXLP(``j,i)~=~premr(``j,i)``cdot``PP70(``j)``cdot``revb(``j,i);```#XX#{j~=~c,s,w,cn,sf,b}XX.#XX#XX#XX#XXGLPXXG(XXoGjXXG,XXGiXXG)XXGXX{GpremrXXcG(XXGjXX G,XX;GiXXsG)XXGXX?GPP70XXG(XXi GjXX G)XX GXXm GrevbXX G(XX= GjXXu G,XX GiXX G)XX! G;XX GjXX+GXXGcXXSG,XXGsXXG,XXGwXXG,XXGcnXXyG,XXGsfXX1G,XXcGbXXG.(9 Z6Times New Roman Regular(CEMU]emu}AutoList1(1)(1)(1)(1)(1)(1)(1)(1)3#37=CIQYag1.a.i.(1)(a)(i)1)a)(;3$2#  0  .3  0  6L!XXXXXX  _X  XX  ProgrammingInstructionsforRevenueAssuranceXXPremiumCalculationsFor2000          !X      ?+ 4 <DL!!? 6     XX       G!XXAmericanFarmBureauInsuranceServices,Inc  XX! G)+XX October26  November9   January7 , 2000 1999   XX)+  2)(%% _<8(XdXXd8    !X      ?+ 4 <DL!!? )+XX1.Introduction#XX)++#     76     XX       4 ThisdocumentcontainsdetailedinstructionsforcalculatingRevenue_Assurance sm_    (_RA sm_ )premiumsinthe2000cropyear. ӀUnlessotherwiseindicated,resultsofarithmetic  calculationsshouldberoundedto9digitstotherightofthedecimal.&    mXXmm      {  2.DataandVariableDefinitions    F6      XXmXXXX'V       4 {Muchofthedatathatisrequiredforcalculationof_RAsm_premiumscanbefound p f ontheactuarialpagesofthe_APH_Ԁprogram.Asubsetofthe_APH_ԀdatawillneedtobefoundonthenewRAactuarialpage.Thedefinitionsofthedatathataretobelocatedon D :  theRAactuarialpagearegivenbelow.Thevariablenameswillbeindexedbyjfora . $  cropand_i_foraunitofthecropintheequations.Forexample,_rateou_(_j,i_)referstothe   optionalunit_APH_Ԁrateforcropj,unit_i_wherej=c,s,w,_cn_,sf,breferstocropcorn,   soybeans,wheat,_canola_,sunflower,andbarley. $!yldR05  4 0 ThemidpointoftheR05yieldspanforacropinacounty  ! ! <(  <DL!X<0  _rateou_ The_APH_Ԁpremiumrate(asshownonthe_APH_Ԁactuarialpage)ata65%  coveragelevelforthecropthatcorrespondstoafarmers_APH_Ԁyieldonaunit(basicoroptional).The_ou_denotesthattheseare_APH_Ԁoptionalunit }s rates.  ! !  $!c  $!0  _hrisk_ Highrisklandratingfactor(associatedMapArea,M13,_rectype_Ԁ11,field rh 19,MapArea,pos.94)EXXXX\R ! !   B+ 4 <DL! XB#XXXEX^#0 4  _psurc_ 4 0 4!4!_APH_Ԁpremiumsurchargeforcupped_APH_Ԁyield(M13,_rectype_Ԁ11,field42, g] PremiumRateSurcharge,pos.221)  ! ! 0 4  _minratefactor_ Afactorusedtodeterminetheminimumwholefarmpremiumrate\R4!4! 0 4  _APHp_ 4 0 4!4!The_APH_Ԁpriceofthecrop.g] ! ! 0 4  PP65 4 0 4!4!The_APH_Ԁpreventedplantingfactorforacropfor65%preventedplanting rh coverage(associatedGuaranteeReductionFactor,M13,_rectype_Ԁ11,field30,GuaranteeReductionFactor,pos149)  ! ! 0 4  PP70 4 0 4!4!The_APH_Ԁpreventedplantingfactorforacropfor70%preventedplanting QG coverage(associatedGuaranteeReductionFactor,M13,_rectype_Ԁ11,field30,GuaranteeReductionFactor,pos149)  ! ! ?+ 4 <DL!X? 4 Otherdatausedtocalculatepremiumsaresuppliedbythefarmer,suppliedbytheinsuranceagent,orsuppliedbytheprogram.Datathatisspecifictoeachunit(basicoroptional)isgivenbelow:_fyld_0 4 0 4!4!Approvedyieldforthebasic(oroptional)unit(M13_rectype_Ԁ11,field25, %'#% Yield,pos113)  ! ! <(  <DL!X<0  acre Acresinthecroponthebasic(oroptional)unit(M13_rectype_Ԁ11,field31, )%' reportedacres,pos152)  ! ! 0  share Thefarmersshareonabasic(oroptional)unitofacrop(M13,_rectype_ +') 11,field34,insuredshare,pos.178)+'* ! ! 0  _revb_ Theselectedperacrerevenuelevelforabasic(oroptional)unitofacrop   (M13,_rectype_Ԁ11,field26,DollarAmountofInsurance,pos.121)  ! ! 0  _reve_ Theselectedperacrerevenuelevelforanenterpriseunit(M13,_rectype_  11,field26,DollarAmountofInsurance,pos.121)  ! ! 0  _revwf_ Theselectedperacrerevenuelevelforthewholefarmunit(M13,_rectype_  11,field26,DollarAmountofInsurance,pos.121)  ! ! 0  _minreve_ Theminimumselectedperacrerevenuelevelforanenterpriseunit  ! ! 0  _minrevwf_ Theminimumselectedperacrerevenuelevelforwholefarmunit  ! ! 0  _maxreve_ Themaximumselectedperacrerevenuelevelforanenterpriseunit  ! ! 0  _maxrevwf_ Themaximumselectedperacrerevenuelevelforwholefarmunit  ! ! 0  _nsect_ Numberofsectionsinwhichacropisgrown(M13,_rectype_Ԁ11,field52,   Numberofsections,pos.262)  ! ! 0     ! ! B+ 4 <DL! XB 4 Thepricesthataresuppliedbytheagentsare:chip  4  0 Theprojectedharvestpriceofacrop(M13,_rectype_Ԁ11,PriceElection,   pos.170)  ! !  4 Andthevariablesthataresuppliedby_FCIC_Ԁare:_cvp_ 4  Pricevolatilityofthecrop    4 Variablesthatareeithercalculatedbytheprogramorsuppliedbytheuseranddirectlyusedtocalculatepremiumsare:cover0 4 0 4!4!Coveragelevelonabasic(oroptional)unit(M13,_rectype_Ԁ11,field51, 6, revenueAssuranceCoverageLevelPercent,pos.257)  ! ! _ecover_ 4 0 Coveragelevelonanenterpriseunit(M13,_rectype_Ԁ11,field51,revenue +! AssuranceCoverageLevelPercent,pos.257)  ! ! _covwf_0 4 0 4!4!Coveragelevelonawholefarmunit(M13,_rectype_Ԁ11,field51,revenue   AssuranceCoverageLevelPercent,pos.257)  ! !  4 Someothervariablesthatarecalculatedbytheprogramare:_premr_ 4  Basepremiumrateforabasic(oroptional)unit 6#, _epremr_ 4 0 BasepremiumrateforanenterpriseunitA$7  ! ! _wfpremr_ Basepremiumrateforawholefarmunit L%B!! _wfprem_ Baseperacrepremiumforawholefarmunit W&M"" _avgrate_ Weightedaverage_APH_Ԁrateforanenterpriseunit b'X## _erate_ 4  Adjustedaverage_APH_Ԁrateforanenterpriseunit m(c$$ _efyld_ 4  Weightedaverage_APH_Ԁyieldforanenterpriseunit x)n%%  _perlia_ 4  Percentofexpectedliabilityfromacroponawholefarmunit *y&& LP0 4 0 4!4!Peracreloadedpremiumforabasic(oroptional)unit(M13_rectype_Ԁ11,    field37,BasePremiumRate,pos.194)  ! ! _TLP_0 4 0 4!4!Totalloadedpremiumforabasic(oroptional)unit(M13,_rectype_Ԁ11,field  43,TotalPremium,pos.222)  ! ! _LEP_0 4 0 4!4!Peracreenterprisepremiumforacrop(M13_rectype_Ԁ11,field37,Base  PremiumRate,pos.194)  ! ! _TLEP_ 4 0 Totalloadedenterprisepremiumforacrop(M13,_rectype_Ԁ11,field43,   TotalPremium,pos.222)  ! ! _LWFP_ 4 0 Peracreloadedwholefarmunitpremium(M13_rectype_Ԁ11,field37,Base   PremiumRate,pos.194)  ! ! _TLWFP_0 Totalloadedwholefarmunitpremium(M13,_rectype_Ԁ11,field43,Total   Premium,pos.222)  ! ! _subaphou_ Premiumsubsidyonanoptionalunitunderthe_APH_Ԁprogram   _subaphb_ Premiumsubsidyonabasicunitunderthe_APH_Ԁprogram   _subaphe_ Comparable_APH_Ԁpremiumsubsidyforanenterpriseunit   _subaphwf_ Comparable_APH_Ԁpremiumsubsidyforawholefarmunit  _subfact_ 4 0 Premiumsubsidyfactoronanoptionalorbasicunit ! ! _subfacte_ Premiumsubsidyfactoronanenterpriseunit  _subfactwf_ Premiumsubsidyfactoronawholefarmunit   _psubb_ 4  Premiumsubsidyonabasic(oroptional)unit   _psube_ 4  Premiumsubsidyonanenterpriseunit   _psubwf_ 4 0 Premiumsubsidyonawholefarmunit+! ! ! _TLPsub_0 Subsidizedpremium(M13,_rectype_Ԁ11,field44,ProducerPremium, 6, pos.230)  ! ! _TLEPsub_0 Subsidizedenterprisepremium(M13,_rectype_Ԁ11,field44,Producer +! Premium,pos.230)  ! ! _WFPsub_0 Subsidizedwholefarmpremium(M13,_rectype_Ԁ11,field44,Producer   Premium,pos.230)  ! ! _premb_ 4  Producerpaidpremiumperacreforabasic(oroptional)unit   _preme_ 4  Producerpaidpremiumperacreforanenterpriseunit  ! _premwf_ Producerpaidpremiumperacreforawholefarmunit +"!  $!e&    mXXmm      {  3.MinimumandMaximumAvailableCoverageAmounts =  $ ! <The      XXmXXXX'$<     { 4 RevenueAssuranceoffersrevenueguaranteesthatfallbetween65%and75%of &"# theproductofprojectedharvestpriceandapprovedyieldforbasicandoptionalunits.Themaximumcoveragelevelforenterpriseandwholefarmunitsis85%.  ($% &           Basic(oroptional)units 5@ ?The      ' ?        Thefarmerselectsacoveragelevelbetween65%and75%.Thevaluesfortheperacrerevenueguaranteesarethencalculatedforallcropsj=c,s,w,_cn_,sf,bandallunits_i_,_i_Ԁ=  1,8.,N(j):  L S(3TL U3   U3B2(  1  )3  0 4    b9]R*` `XE H  H bU3BB݌B 84!4! Ќ      !X       Dgel     X!    &           Enterpriseunits E    DThe      ' D     Thefarmerselectsthelevelof_reve_,ratherthanthecoveragelevel,afterbeingshown    minimumandmaximumvalues.Theequationsfortheseminimumandmaximumvaluesaresomewhatcomplicatedbecausewemustsumoverthenumberofcropunits.Theminimumandmaximumvaluesshouldberoundedtothenearestcent.  4  U3   U3wG2(  2  )3  0 4    [9R# `XE h h[U3wGG݌"4!4! Ќ   4  U3   U3H2(  3  )3  0 4    [9R# `XE  [U3HH݌4!4! Ќ  W99:! `EdddW&0L<8z \p@@@E\& 4   \R &           Wholefarmunit ?K  wm JThe      'wJ     Thefarmeralsoselects_revwf_afterbeingshownminimumandmaximumvalues.The aW equationsfortheseminimumandmaximumvaluesareevenmorecomplicatedbecausewemustsumoverallcropunits.Iflessthanthemaximumnumberofcropsareinsuredinthewholefarmunit(becauseafarmerdoesnotplantacoveredcropinacounty)thenthesummationsaredoneonlyovertheincludedcrops. U3   U3M2(  4  )3  0 4    [9dRe# `XE ! ![U3MM݌##4!4! Ќ   U3   U3N2(  5  )3  0 4    [9hli# `XE ) )[U3N'O݌+&+4!4! Ќ   +', Ї 4 Theminimumandmaximumvaluesshouldberoundedtothenearestcent. &    mXXmm      {  4.CoverageLevels MQ   P      XXmXXXX'P     { 4 Coveragelevelsareusedtocalculatebasepremiumratesandrevenueguarantees. d Z Becauseafarmercanonlyselectoneunitstructure(withtheexceptionofoptionalunits)thepremiumcalculatorshouldallowthefarmertohavedifferentcoveragelevelsforbasic(oroptional)units,enterprise,andwholefarmunits.Thecoveragelevelsforoptionalandbasicunits,cover,aresupplieddirectlybytheuser.Thecoveragelevelsfor    enterpriseandwholefarmunitsmustbecalculatedbythefollowingequations: U3   U3T c c !!2(  6  )3  0 4    @4 d9R,`P `XEc )c )dU3TT݌ 4c 4! Ќ   U3   UU ))c c 2(  7  )3  Լ0 @    @ d9aRq,`P `XE))dU3UV݌̌   !!))Allcoveragelevelsareroundedtofourdigits.  " &    mXXmm      {  4.BasicUnitPremiums .X   W    XXmXXXX'W    { 4 Foreachbasic(oroptional)unitthefarmersuppliesthestateandcountywhere !" theinsuredcropsresideandvaluesfor_fyld_,andcover.Inaddition,thefarmerdecides "# whetherornottochoosetheharvestpriceoption(M13_rectype_Ԁ11,RAFallHarvestPriceoption,pos.268).Thestate,countyandwhetherthefarmerchoosestheharvestpriceoptionidentifieswhichsetofratingcoefficientstouseinequation(9).AllsinglecropratingcoefficientsandthecountiesinwhichtheyapplyaregiveninAppendixA.  4 Theprogramshouldprovide(or,alternatively,theusershouldsupply)yldR05and $'#( _rateou_.Thesevaluesmustbeallowedtovarybytypeandpracticetoaccountforthe ($) situationwhereabasicunithasmorethanonetypeofpractice.Theperacrebase ($* premiumsarethencalculatedusinglong,butstraightforward,formulas. 4 Beforeusingtheformulathe_APH_Ԁoptionalratesat65%(_rateou_)mustbe *&, multipliedbythebasicunitdiscount(BUD=0.9)toputtheRAratesonanequivalent +'- basisasthe_APH_Ԁbasicunitrates.Inaddition,ifaunitiscategorizedashighriskland,then_rateou_mustalsobemultipliedbythehighriskfactor,_hrisk_.Thisratingfactor  changesaccordingtotheyieldspanfortheunit;_hrisk_=1.0ifthelandisnothighrisk  land.Thevariablesrateareroundedto9digitstotherightofthedecimal.   U3   U3`2(  8  )3  0 4    [9R#  `XE   [U3`a݌4!4! Ќ  XXN#N*b#)@#)XX)@ b#Whendeterminingwhichvalueof_rateou_Ԁtouseinequation(8)usethe . $ ?+ 4 <DL!X?yieldspancorrespondingtotheapprovedyieldcalculatedusing_APH_Ԁyieldprocedures(_fyld_).Whenayieldflooraffectsthisapprovedyield,donot    usetheyieldspanthatwouldcorrespondtotheaverageyieldcalculatedhadtheyieldfloornotbeenineffect.Thisisadeparturefromthewaythat_APH_Ԁratesaredetermined.)@X)X#)@mb#N   #X.;XN'e##XXXX.;ie#& P          Basepremiumrate 5f    e      'Pe      ݀L S((SL U3   U3[g2(  9  )3  0 4   ]9)% ` `%E49Xu49 ]  ]91)?% ` `%E4bV/ V/ 4bV/ ]  @! U3[gg݌4!4! Ќ  Thisformulaisusedtocalculatethebasepremiumratesforeachbasicunitandforeachoptionalunitforeachcrop.Eachindividualcalculationisroundedto9digitstotherightofthedecimalplace,andthevariable_premr_isroundedto4digits. ## Thenextstepistoaddapreventedplantingloadtothesebasepremiumsandfindtheperacrepremiums. &           Loadedperacrepremiums k  B(8$( jrth      'B(j          4 Thebasepremiumratesareincreasedforpreventedplantingcoverageifthefarmeroptsfor65%or70%preventedplantingcoverage.Theperacrepremiumisfoundbymultiplyingthepremiumratebyliabilityandroundingtotwodecimals. +', W9DF!  `E!dd!d WAt60%preventedplantingL S((SL U3   U3n2(  10  )3  0 4    i9GRI1 !` p ^- `XE   iU3n>n݌4!4! Ќ  L S((SL& N          At65%preventedplanting nd  e e !!L S((SL U3   U3o2(  11  )3  0 4    @4 d9HRK,`P  `XEe & e &  dU3oo݌ 4e 4! Ќ  _ !!e e  onrth      'Nnn      _&           At70%prevented_planting  rqrth      ' q         _d9LRP,`P  `XEe e d e e !!L S((SL U3   U3s2(  12  )3  0 4    @4 U3st݌ z 4e 4! Ќ   !!e e &           Totalbasicunitpremiums u    _trth      't      The_Ԁtotalpremiumforabasicunitisgivenbytheequation(13).Thepremiumisroundedtothenearestwholedollaramount.  L S((SL U3   U3 w2(  13  )3  0 4     XN [9R# `XE4H4H[U3 w7w݌ 4!4! Ќ  &           Totaloptionalunitpremiums I x   _Ixrth      'Yx      The_Ԁperacrepremiumforanoptionalunitisfoundbytreatingtheoptionalunitasabasicunitandthenapplyinga10%surchargeforallcrops. This10%surchargeappliestoall  RAcropsandisachangefor2000. Theyareroundedtothenearestwholedollar zp amount. L S((SL U3   U3@{2(  14  )3  0 4     8. b9R*`- `XE4(ZZ4(Zb @  @ U3@{k{݌ 4!4! Ќ  &    mXXmm      {  5.EnterpriseUnitPremiums ?}    _|rth      XXmXXXX'|      _ {Thepremiumforanenterpriseunitisfoundbyusingthesamecoefficientsthatareused !" tofindpremiumsforbasicoroptionalunits.Differencesintheratingequationsariseifafarmerhasmorethanonebasicunitorfarmsinmorethanonesectionofland.Thesetwofactorschangetheapprovedfarmyieldand_APH_Ԁrateusedintheequations.  4 Beforethepremiumscanbecalculated,_avgrate_,and_efyld_mustbecalculated. r%h!& Thesequantitiesaresimplytheacreageandshareweightedaverageofthe_APH_Ԁyieldsand_APH_Ԁpremiumratesforallunitsofacropinacounty. L S((SL U3   U3 2(  15  )3  0 4   o9R7'#`v-x `XE4'GxdG4'Gxo L U3 5݌*%+4!4! Ќ   +'- ЇL S((SLL S((SL U3   U3"w2(  16  )3  0 4    t9R<,(`~-F pX E FK FtU3"wMw݌4!4! Ќ  _avgrate_isroundedto9digitstotherightofthedecimal._efyld_isroundedtoonedigitto  | therightofthedecimal.Wethenneedtoadjust_avgrate_toreflectthenumberofsections. D :  l9R4$ `r A `XEYrrYrl N!N!!! !!N!N!l9oRv4$ `r 9 `XEl ! !!! !! ! !_erate_isroundedto4digits. <2 Andfinally,ifafarmerhasmultiplepracticesacrosswithinorbetweenunitsthenthevaluesforyldR05tobeusedinequation(17)isthemaximumapplicablevalue.   &           Basepremiumrateforenterpriseunit   | L S((SL U3   U3?}2(  17  )3  0 4   l9+R,4$ `rZ-q `%E48''48'l @ U3?}j}݌  4!4! Ќ  B|     'R|      4    <      D   Eachindividualcalculationisroundedto9digits,andthevariable_epremr_isroundedto4 '"' digits.  >,4(- &           Peracreenterpriseunitpremiums  0     ' @        Thenextstepistoconverttheseratesintoperacrebasepremiums.Thisisdonebymultiplyingtheratebytheappropriatepreventedplantingfactorandliability(theperacrerevenueguaranteeforenterpriseunits)androundingtotwodigits.&           At60%preventedplanting  B 8      'B      L S((SL U3   U32(  18  )3  0 4    [92l3# `XE   [ U3݌ 4!4! Ќ  &           At65%preventedplanting    K     ' [     L S((SL U3   U32(  19  )3  0 4    i94l51!` p- `XE H Hi L U3ƅ݌B8 4!4! Ќ   &           At70%preventedplanting `        '"     L S((SL U3   U3b2(  20  )3  0 4    i98l;1!` p- `XE  iU3b݌4!4! Ќ      !X      Totalloadedenterprisepremiums   Nowweneedtomultiplytheloadedperacrepremiumbythenumberofinsuredacresontheeachunit.Theresultwillberoundedtowholedollars.Thetotalenterprisepremiumisfoundbysummingoverallunits. Roundingonarecordbyrecordbasisisamajor zp changeforRA2000(M13,_rectype_Ԁ11,field43,TotalPremium,pos.222).ThischangewillremovetheneedforprorationforDAS.  ND       X!    L S((SL U3   U3Č2(  21  )3  0 4    [9l# `XE \PP \P[U3Č݌4!4! Ќ  &    eXXee      {  6.WholeFarmUnitPremium   !|" itp    XXeXXXX'     {Calculationofwholefarmpremiumfollowsthesameprocedureascalculationof Z#P$ premiumfortheotherunitstructures.However,becausethereareuptosixcropsinvolved,theequationsforwholefarmpremiumsaresignificantlylonger.Tofacilitateprogramming,theratingcoefficientsandratingfactors(variables)thataremultipliedtogetherandthenaddedtocomeupwiththewholefarmpremiumarepresentedascolumnsbelow.  4 Thevaluesforthecoefficientsin _betawf_ dependonwhichcropsareinthewhole )%+ farmunitandonwhetherthefarmerchoosestheharvestpriceoption.Thus,astatethathasthreecropseligibleforRAcoverage,suchasMinnesota,willhave8setsof +'- coefficients:twoforacornsoybeanwholefarmunit,twoforacornwheatwholefarmunit,twoforasoybeanwheatwholefarmunit,andtwoforacornsoybeanwheatwholefarmunit.Thereareeightsetseachfor Iowa, SouthernMinnesota,NorthernMinnesota,EasternSouthDakota,andWesternSouthDakota.TherearetwosetsofcoefficientsforstateswithtwocropseligibleforRAcoverage,whichincludes Iowa, Illinois,Indiana,andIdaho.ForNorthDakota,whichhassixcropseligibleforRAcoverage,thereareatotalof114setsofwholefarmratingcoefficients.The162setsofwholefarmcoefficientsaregiveninanExcelspreadsheetthataccompaniestheseprogramminginstructions. 4 Therearesixadditionalratingfactorsusedtocalculatewholefarmrates.Theseare_perlia_(j),whichiscalculatedas . $  L S((SL U3   U32(  22  )3  0 4    [9=lA# `XE  [U3݌ 4!4! Ќ  _perlia_shouldberoundedtofourdigits.Ifacropisnotgrown,thenset_minrev_forthat  cropequaltozerointhisequation. &           Wholefarmbasepremiumrate 3  0& itp    '0       Table1.Wholefarmratingcoefficientsandratingfactors(variables).  4 RXXXX  *'( ddd Xdd Xdd X!!,, +  ,"  C,#XXXRXw#bXX'XXX Coefficient         _  &            _  _ (C" C($4 X$  Variable          _  7itp    'GԹ    _  _ @6C"   @?+ 4 <DL!X?_betawf_(0) H> ?1.0?H1.0 `V> ?1.0  ? `_betawf_(1) 'wm '_erate_(c) ?5wm   ?_betawf_(2) 'cY! '_erate_(s) ?5cY"  ?_betawf_(3) 'OE# '_erate_(w) ?5OE$  ?_betawf_(4) ';1% '_erate_(_cn_) ?5;1&  ?_betawf_(5) ''' '_erate_(sf) ?5'(  ?_betawf_(6) ' ) '_erate_(b) ?5 *  ?_betawf_(7) ' + '_erate_(c)2 ?5 ,  ?_betawf_(8) '!- '_erate_(s)2 ?5!.  ?_betawf_(9) '"/ '_erate_(w)2 ?5"0  ?_betawf_(10) '#1 '_erate_(_cn_)2 ?5#2  ?_betawf_(11) '$ 3 '_erate_(sf)2 ?5$ 4  ?_betawf_(12) '%!5 '_erate_(b)2 ?5%!6  ?_betawf_(13) '&}"7 '_erate_(c)x_erate_(s) ?5&}"8  ?_betawf_(14) 's'i#9 '_erate_(c)x_erate_(w) ?5s'i#:  ?_betawf_(15) '_(U$; '_erate_(c)x_erate_(_cn_) ?5_(U$<  ?_betawf_(16) 'K)A%= '_erate_(c)x_erate_(sf) ?5K)A%>  ?_betawf_(17) '7*-&? '_erate_(c)x_erate_(b) ?57*-&@  ?_betawf_(18) '#+'A '_erate_(s)x_erate_(w) ?5#+'B  ?_betawf_(19) ',(C '_erate_(s)x_erate_(_cn_) ?5,(D  ?_betawf_(20) '  '_erate_(s)x_erate_(sf) ?5   ?_betawf_(21) ' '_erate_(s)x_erate_(b) ?5  ?_betawf_(22) ' '_erate_(w)x_erate_(_cn_) ?5  ?_betawf_(23) ' '_erate_(w)x_erate_(sf) ?5  ?_betawf_(24) '  '_erate_(w)x_erate_(b) ?5   ?_betawf_(25) '  '_erate_(_cn_)x_erate_(sf) ?5   ?_betawf_(26) '   '_erate_(_cn_)x_erate_(b) ?5   ?_betawf_(27) '~ t '_erate_(sf)x_erate_(b) ?5~ t  ?_betawf_(28) 'j ` '_covwf_ ?5j `  ?_betawf_(29) 'V L 'covwf2 ?5V L  ?_betawf_(30) 'B 8  '_covwf_Ԁx_erate_(c) ?5B 8   ?_betawf_(31) '.$  '_covwf_Ԁx_erate_(s) ?5.$   ?_betawf_(32) '  '_covwf_Ԁx_erate_(w) ?5   ?_betawf_(33) '  '_covwf_Ԁx_erate_(_cn_) ?5   ?_betawf_(34) '  '_covwf_Ԁx_erate_(sf) ?5   ?_betawf_(35) '  '_covwf_Ԁx_erate_(b) ?5   ?_betawf_(36) '! '_perlia_(c) ?5"  ?_betawf_(37) '# '_perlia_(s) ?5$  ?_betawf_(38) '% '_perlia_(w) ?5&  ?_betawf_(39) '' '_perlia_(_cn_) ?5(  ?_betawf_(40) 'zp) '_perlia_(sf) ?5zp*  ?_betawf_(41) 'f\+ '_perlia_(b) ?5f\,  ?_betawf_(42) 'RH- '_perlia_(c)2 ?5RH.  ?_betawf_(43) '>4/ '_perlia_(s)2 ?5>40  ?_betawf_(44) '* 1 '_perlia_(w)2 ?5* 2  ?_betawf_(45) ' 3 '_perlia_(_cn_)2 ?5 4  ?_betawf_(46) '5 '_perlia_(sf)2 ?56  ?_betawf_(47) '7 '_perlia_(b)2 ?58  ?_betawf_(48) '9 '_perlia_(c)3 ?5:  ?_betawf_(49) '; '_perlia_(s)3 ?5<  ?_betawf_(50) '= '_perlia_(w)3 ?5>  ?_betawf_(51) ' ? '_perlia_(_cn_)3 ?5 @  ?_betawf_(52) '!A '_perlia_(sf)3 ?5!B  ?_betawf_(53) 'v"lC '_perlia_(b)3 ?5v"lD  ?_betawf_(54) 'b#XE '_perlia_(c)x_erate_(c) ?5b#XF  ?_betawf_(55) 'N$D G '_perlia_(c)x_erate_(s) ?5N$D H  ?_betawf_(56) ':%0!I '_perlia_(c)x_erate_(w) ?5:%0!J  ?_betawf_(57) '&&"K '_perlia_(c)x_erate_(_cn_) ?5&&"L  ?_betawf_(58) ''#M '_perlia_(c)x_erate_(sf) ?5'#N  ?_betawf_(59) ''#O '_perlia_(c)x_erate_(b) ?5'#P  ?_betawf_(60) '($Q '_perlia_(s)x_erate_(c) ?5($R  ?_betawf_(61) ')%S '_perlia_(s)x_erate_(s) ?5)%T  ?_betawf_(62) '*&U '_perlia_(s)x_erate_(w) ?5*&V  ?_betawf_(63) '+'W '_perlia_(s)x_erate_(_cn_) ?5+'X  ?_betawf_(64) '  '_perlia_(s)x_erate_(sf) ?5   ?_betawf_(65) ' '_perlia_(s)x_erate_(b) ?5  ?_betawf_(66) ' '_perlia_(w)x_erate_(c) ?5  ?_betawf_(67) ' '_perlia_(w)x_erate_(s) ?5  ?_betawf_(68) '  '_perlia_(w)x_erate_(w) ?5   ?_betawf_(69) '  '_perlia_(w)x_erate_(_cn_) ?5   ?_betawf_(70) '   '_perlia_(w)x_erate_(sf) ?5   ?_betawf_(71) '~ t '_perlia_(w)x_erate_(b) ?5~ t  ?_betawf_(72) 'j ` '_perlia_(_cn_)x_erate_(c) ?5j `  ?_betawf_(73) 'V L '_perlia_(_cn_)x_erate_(s) ?5V L  ?_betawf_(74) 'B 8  '_perlia_(_cn_)x_erate_(w) ?5B 8   ?_betawf_(75) '.$  '_perlia_(_cn_)x_erate_(_cn_) ?5.$   ?_betawf_(76) '  '_perlia_(_cn_)x_erate_(sf) ?5   ?_betawf_(77) '  '_perlia_(_cn_)x_erate_(b) ?5   ?_betawf_(78) '  '_perlia_(sf)x_erate_(c) ?5   ?_betawf_(79) '  '_perlia_(sf)x_erate_(s) ?5   ?_betawf_(80) '! '_perlia_(sf)x_erate_(w) ?5"  ?_betawf_(81) '# '_perlia_(sf)x_erate_(_cn_) ?5$  ?_betawf_(82) '% '_perlia_(sf)x_erate_(sf) ?5&  ?_betawf_(83) '' '_perlia_(sf)x_erate_(b) ?5(  ?_betawf_(84) 'zp) '_perlia_(b)x_erate_(c) ?5zp*  ?_betawf_(85) 'f\+ '_perlia_(b)x_erate_(s) ?5f\,  ?_betawf_(86) 'RH- '_perlia_(b)x_erate_(w) ?5RH.  ?_betawf_(87) '>4/ '_perlia_(b)x_erate_(_cn_) ?5>40  ?_betawf_(88) '* 1 '_perlia_(b)x_erate_(sf) ?5* 2  ?_betawf_(89) ' 3 '_perlia_(b)x_erate_(b) ?5 4  ?_betawf_(90) '5 '_perlia_(c)2x_erate_(c) ?56  ?_betawf_(91) '7 '_perlia_(c)2x_erate_(s) ?58  ?_betawf_(92) '9 '_perlia_(c)2x_erate_(w) ?5:  ?_betawf_(93) '; '_perlia_(c)2x_erate_(_cn_) ?5<  ?_betawf_(94) '= '_perlia_(c)2x_erate_(sf) ?5>  ?_betawf_(95) ' ? '_perlia_(c)2x_erate_(b) ?5 @  ?_betawf_(96) '!A '_perlia_(s)2x_erate_(c) ?5!B  ?_betawf_(97) 'v"lC '_perlia_(s)2x_erate_(s) ?5v"lD  ?_betawf_(98) 'b#XE '_perlia_(s)2x_erate_(w) ?5b#XF  ?_betawf_(99) 'N$D G '_perlia_(s)2x_erate_(_cn_) ?5N$D H  ?_betawf_(100) ':%0!I '_perlia_(s)2x_erate_(sf) ?5:%0!J  ?_betawf_(101) '&&"K '_perlia_(s)2x_erate_(b) ?5&&"L  ?_betawf_(102) ''#M '_perlia_(w)2x_erate_(c) ?5'#N  ?_betawf_(103) ''#O '_perlia_(w)2x_erate_(s) ?5'#P  ?_betawf_(104) '($Q '_perlia_(w)2x_erate_(w) ?5($R  ?_betawf_(105) ')%S '_perlia_(w)2x_erate_(_cn_) ?5)%T  ?_betawf_(106) '*&U '_perlia_(w)2x_erate_(sf) ?5*&V  ?_betawf_(107) '+'W '_perlia_(w)2x_erate_(b) ?5+'X  ?_betawf_(108) '  '_perlia_(_cn_)2x_erate_(c) ?5   ?_betawf_(109) ' '_perlia_(_cn_)2x_erate_(s) ?5  ?_betawf_(110) ' '_perlia_(_cn_)2x_erate_(w) ?5  ?_betawf_(111) ' '_perlia_(_cn_)2x_erate_(_cn_) ?5  ?_betawf_(112) '  '_perlia_(_cn_)2x_erate_(sf) ?5   ?_betawf_(113) '  '_perlia_(_cn_)2x_erate_(b) ?5   ?_betawf_(114) '   '_perlia_(sf)2x_erate_(c) ?5   ?_betawf_(115) '~ t '_perlia_(sf)2x_erate_(s) ?5~ t  ?_betawf_(116) 'j ` '_perlia_(sf)2x_erate_(w) ?5j `  ?_betawf_(117) 'V L '_perlia_(sf)2x_erate_(_cn_) ?5V L  ?_betawf_(118) 'B 8  '_perlia_(sf)2x_erate_(sf) ?5B 8   ?_betawf_(119) '.$  '_perlia_(sf)2x_erate_(b) ?5.$   ?_betawf_(120) '  '_perlia_(b)2x_erate_(c) ?5   ?_betawf_(121) '  '_perlia_(b)2x_erate_(s) ?5   ?_betawf_(122) '  '_perlia_(b)2x_erate_(w) ?5   ?_betawf_(123) '  '_perlia_(b)2x_erate_(_cn_) ?5   ?_betawf_(124) '! '_perlia_(b)2x_erate_(sf) ?5"  ?_betawf_(125) '# '_perlia_(b)2x_erate_(b) ?5$  ?_betawf_(126) '% '_perlia_(c)2#XX'XbXX#bXX'XXXԀx_covwf_ ?5&  ?_betawf_(127) '' '_perlia_(s)2#XX'XbXX#bXX'XXXԀx_covwf_ ?5(  ?_betawf_(128) 'zp) '_perlia_(w)2#XX'XbXX #bXX'XXXԀx_covwf_ ?5zp*  ?_betawf_(129) 'f\+ '_perlia_(_cn_)2#XX'XbXX5#bXX'XXXԀx_covwf_ ?5f\,  ?_betawf_(130) 'RH- '_perlia_(sf)2#XX'XbXX#bXX'XXXԀx_covwf_ ?5RH.  ?_betawf_(131) '>4/ '_perlia_(b)2#XX'XbXX#bXX'XXXԀx_covwf_ ?5>40  ?_betawf_(132) '* 1 '_perlia_(c)3x_covwf_ ?5* 2  ?_betawf_(133) ' 3 '_perlia_(s)3x_covwf_ ?5 4  ?_betawf_(134) '5 '_perlia_(w)3x_covwf_ ?56  ?_betawf_(135) '7 '_perlia_(_cn_)3x_covwf_ ?58  ?_betawf_(136) '9 '_perlia_(sf)3x_covwf_ ?5:  ?_betawf_(137) '; '_perlia_(b)3x_covwf_ ?5<  ?_betawf_(138) '= C'$4 X$_efyld_(c)/yldR05(c) ?5>C  ?_betawf_(139) ' ? C'$4 X$_efyld_(s)/yldR05(s) ?5 @C  ?_betawf_(140) '!A C'$4 X$_efyld_(w)/yldR05(w) ?5!BC  ?_betawf_(141) 'v"lC C'$4 X$_efyld_(_cn_)/yldR05(_cn_) ?5v"lDC  ?_betawf_(142) 'b#XE C'$4 X$_efyld_(sf)/yldR05(sf) ?5b#XFC  ?_betawf_(143) 'N$D G C'$4 X$_efyld_(b)/yldR05(b) ?5N$D HC  ?_betawf_(144) ':%0!I C'$4 X$(_efyld_(c)/yldR05(c))2 ?5:%0!JC  ?_betawf_(145) '&&"K C'$4 X$(_efyld_(s)/yldR05(s))2 ?5&&"LC  ?_betawf_(146) ''#M C'$4 X$(_efyld_(w)/yldR05(w))2 ?5'#NC  ?_betawf_(147) ''#O C'$4 X$(_efyld_(_cn_)/yldR05(_cn_))2 ?5'#PC  ?_betawf_(148) '($Q C'$4 X$(_efyld_(sf)/yldR05(sf))2 ?5($RC  ?_betawf_(149) ')%S C'$4 X$(_efyld_(b)/yldR05(b))2 ?5)%TC  ?_betawf_(150) '*&U C'$4 X$_perlia_(c)/_perlia_(s) ?5*&VC  ?_betawf_(151) '+'W C'$4 X$_perlia_(c)/_perlia_(w) ?5+'XC  ?_betawf_(152) '  C'$4 X$_perlia_(c)/_perlia_(_cn_) ?5 C  ?_betawf_(153) ' C'$4 X$_perlia_(c)/_perlia_(sf) ?5C  ?_betawf_(154) ' '_perlia_(c)/_perlia_(b) ?5  ?_betawf_(155) ' C'$4 X$_perlia_(s)/_perlia_(w) ?5C  ?_betawf_(156) '  C'$4 X$_perlia_(s)/_perlia_(_cn_) ?5 C  ?_betawf_(157) '  C'$4 X$_perlia_(s)/_perlia_(sf) ?5 C  ?_betawf_(158) '   '_perlia_(s)/_perlia_(b) ?5   ?_betawf_(159) '~ t C'$4 X$_perlia_(w)/_perlia_(_cn_) ?5~ tC  ?_betawf_(160) 'j ` C'$4 X$_perlia_(w)/_perlia_(sf) ?5j `C  ?_betawf_(161) 'V L '_perlia_(w)/_perlia_(b) ?5V L  ?_betawf_(162) 'B 8  C'$4 X$_perlia_(_cn_)/_perlia_(sf) ?5B 8 C  ?_betawf_(163) '.$  '_perlia_(_cn_)/_perlia_(b) ?5.$   ?_betawf_(164) '  C'$4 X$_perlia_(sf)/_perlia_(b) ?5 C  ?_betawf_(165) '  C'$4 X$(_perlia_(c)/_perlia_(s))2 ?5 C  ?_betawf_(166) '  C'$4 X$((_perlia_(c)/_perlia_(w))2 ?5 C  ?_betawf_(167) '  C'$4 X$(_perlia_(c)/_perlia_(_cn_))2 ?5 C  ?_betawf_(168) '! C'$4 X$(_perlia_(c)/_perlia_(sf))2 ?5"C  ?_betawf_(169) '# '(_perlia_(c)/_perlia_(b))2 ?5$  ?_betawf_(170) '% C'$4 X$(_perlia_(s)/_perlia_(w))2 ?5&C  ?_betawf_(171) '' C'$4 X$(_perlia_(s)/_perlia_(_cn_))2 ?5(C  ?_betawf_(172) 'zp) C'$4 X$(_perlia_(s)/_perlia_(sf))2 ?5zp*C  ?_betawf_(173) 'f\+ '(_perlia_(s)/_perlia_(b))2 ?5f\,  ?_betawf_(174) 'RH- C'$4 X$(_perlia_(w)/_perlia_(_cn_))2 ?5RH.C  ?_betawf_(175) '>4/ C'$4 X$(_perlia_(w)/_perlia_(sf))2 ?5>40C  ?_betawf_(176) '* 1 '(_perlia_(w)/_perlia_(b))2 ?5* 2  ?_betawf_(177) ' 3 C'$4 X$(_perlia_(_cn_)/_perlia_(sf))2 ?5 4C  ?_betawf_(178) '5 '(_perlia_(_cn_)/_perlia_(b))2 ?56  ?_betawf_(179) '7 C'$4 X$(_perlia_(sf)/_perlia_(b))2 ?58C  ?_betawf_(180) '9 C'$4 X$_cvp_(c) ?5:C  ?_betawf_(181) '; C'$4 X$_cvp_(s) ?5<C  ?_betawf_(182) '= C'$4 X$_cvp_(w) ?5>C  ?_betawf_(183) ' ? '_cvp_(_cn_) ?5 @  ?_betawf_(184) '!A '_cvp_(sf) ?5!B  ?_betawf_(185) 'v"lC '_cvp_(b) ?5v"lD  ?_betawf_(186) 'b#XE C'$4 X$_cvp_(c)2 ?5b#XFC  ?_betawf_(187) 'N$D G C'$4 X$_cvp_(s)2 ?5N$D HC  ?_betawf_(188) ':%0!I C'$4 X$_cvp_(w)2 ?5:%0!JC  ?_betawf_(189) '&&"K '_cvp_(_cn_)2 ?5&&"L  ?_betawf_(190) ''#M '_cvp_(sf)2 ?5'#N  ?_betawf_(191) ''#O '_cvp_(b)2 ?5'#P  ?_betawf_(192) '($Q '_cvp_(c)x_erate_(c) ?5($R  ?_betawf_(193) ')%S '_cvp_(c)x_erate_(s) ?5)%T  ?_betawf_(194) '*&U '_cvp_(c)x_erate_(w) ?5*&V  ?_betawf_(195) '+'W '_cvp_(c)x_erate_(_cn_) ?5+'X  ?_betawf_(196) '  '_cvp_(c)x_erate_(sf) ?5   ?_betawf_(197) ' '_cvp_(c)x_erate_(b) ?5  ?_betawf_(198) ' '_cvp_(s)x_erate_(c) ?5  ?_betawf_(199) ' '_cvp_(s)x_erate_(s) ?5  ?_betawf_(200) '  '_cvp_(s)x_erate_(w) ?5   ?_betawf_(201) '  '_cvp_(s)x_erate_(_cn_) ?5   ?_betawf_(202) '   '_cvp_(s)x_erate_(sf) ?5   ?_betawf_(203) '~ t '_cvp_(s)x_erate_(b) ?5~ t  ?_betawf_(204) 'j ` '_cvp_(w)x_erate_(c) ?5j `  ?_betawf_(205) 'V L '_cvp_(w)x_erate_(s) ?5V L  ?_betawf_(206) 'B 8  '_cvp_(w)x_erate_(w) ?5B 8   ?_betawf_(207) '.$  '_cvp_(w)x_erate_(_cn_) ?5.$   ?_betawf_(208) '  '_cvp_(w)x_erate_(sf) ?5   ?_betawf_(209) '  '_cvp_(w)x_erate_(b) ?5   ?_betawf_(210) '  '_cvp_(_cn_)x_erate_(c) ?5   ?_betawf_(211) '  '_cvp_(_cn_)x_erate_(s) ?5   ?_betawf_(212) '! '_cvp_(_cn_)x_erate_(w) ?5"  ?_betawf_(213) '# '_cvp_(_cn_)x_erate_(_cn_) ?5$  ?_betawf_(214) '% '_cvp_(_cn_)x_erate_(sf) ?5&  ?_betawf_(215) '' '_cvp_(_cn_)x_erate_(b) ?5(  ?_betawf_(216) 'zp) '_cvp_(sf)x_erate_(c) ?5zp*  ?_betawf_(217) 'f\+ '_cvp_(sf)x_erate_(s) ?5f\,  ?_betawf_(218) 'RH- '_cvp_(sf)x_erate_(w) ?5RH.  ?_betawf_(219) '>4/ '_cvp_(sf)x_erate_(_cn_) ?5>40  ?_betawf_(220) '* 1 '_cvp_(sf)x_erate_(sf) ?5* 2  ?_betawf_(221) ' 3 '_cvp_(sf)x_erate_(b) ?5 4  ?_betawf_(222) '5 '_cvp_(b)x_erate_(c) ?56  ?_betawf_(223) '7 '_cvp_(b)x_erate_(s) ?58  ?_betawf_(224) '9 '_cvp_(b)x_erate_(w) ?5:  ?_betawf_(225) '; '_cvp_(b)x_erate_(_cn_) ?5<  ?_betawf_(226) '= '_cvp_(b)x_erate_(sf) ?5>  ?_betawf_(227) ' ? '_cvp_(b)x_erate_(b) ?5 @  ?_betawf_(228) '!A '_cvp_(c)2x_erate_(c) ?5!B  ?_betawf_(229) 'v"lC '_cvp_(c)2x_erate_(s) ?5v"lD  ?_betawf_(230) 'b#XE '_cvp_(c)2x_erate_(w) ?5b#XF  ?_betawf_(231) 'N$D G '_cvp_(c)2x_erate_(_cn_) ?5N$D H  ?_betawf_(232) ':%0!I '_cvp_(c)2x_erate_(sf) ?5:%0!J  ?_betawf_(233) '&&"K '_cvp_(c)2x_erate_(b) ?5&&"L  ?_betawf_(234) ''#M '_cvp_(s)2x_erate_(c) ?5'#N  ?_betawf_(235) ''#O '_cvp_(s)2x_erate_(s) ?5'#P  ?_betawf_(236) '($Q '_cvp_(s)2x_erate_(w) ?5($R  ?_betawf_(237) ')%S '_cvp_(s)2x_erate_(_cn_) ?5)%T  ?_betawf_(238) '*&U '_cvp_(s)2x_erate_(sf) ?5*&V  ?_betawf_(239) '+'W '_cvp_(s)2x_erate_(b) ?5+'X  ?< <8(XdXd8 <  _betawf_(240) '  '_cvp_(w)2x_erate_(c) ?5   ?_betawf_(241) ' '_cvp_(w)2x_erate_(s) ?5  ?_betawf_(242) ' '_cvp_(w)2x_erate_(w) ?5  ?_betawf_(243) ' '_cvp_(w)2x_erate_(_cn_) ?5  ?_betawf_(244) '  '_cvp_(w)2x_erate_(sf) ?5   ?_betawf_(245) '  '_cvp_(w)2x_erate_(b) ?5   ?_betawf_(246) '   '_cvp_(_cn_)2x_erate_(c) ?5   ?_betawf_(247) '~ t '_cvp_(_cn_)2x_erate_(s) ?5~ t  ?_betawf_(248) 'j ` '_cvp_(_cn_)2x_erate_(w) ?5j `  ?_betawf_(249) 'V L '_cvp_(_cn_)2x_erate_(_cn_) ?5V L  ?_betawf_(250) 'B 8  '_cvp_(_cn_)2x_erate_(sf) ?5B 8   ?_betawf_(251) '.$  '_cvp_(_cn_)2x_erate_(b) ?5.$   ?_betawf_(252) '  '_cvp_(sf)2x_erate_(c) ?5   ?_betawf_(253) '  '_cvp_(sf)2x_erate_(s) ?5   ?_betawf_(254) '  '_cvp_(sf)2x_erate_(w) ?5   ?_betawf_(255) '  '_cvp_(sf)2x_erate_(_cn_) ?5   ?_betawf_(256) '! '_cvp_(sf)2x_erate_(sf) ?5"  ?_betawf_(257) '# '_cvp_(sf)2x_erate_(b) ?5$  ?_betawf_(258) '% '_cvp_(b)2x_erate_(c) ?5&  ?_betawf_(259) '' '_cvp_(b)2x_erate_(s) ?5(  ?_betawf_(260) 'zp) '_cvp_(b)2x_erate_(w) ?5zp*  ?_betawf_(261) 'f\+ '_cvp_(b)2x_erate_(_cn_) ?5f\,  ?_betawf_(262) 'RH- '_cvp_(b)2x_erate_(sf) ?5RH.  ?_betawf_(263) '>4/ '_cvp_(b)2x_erate_(b) ?5>40  ?_betawf_(264) '* 1 '_perlia_(c)x_cvp_(c) ?5* 2  ?_betawf_(265) ' 3 '_perlia_(c)x_cvp_(s) ?5 4  ?_betawf_(266) '5 '_perlia_(c)x_cvp_(w) ?56  ?_betawf_(267) '7 '_perlia_(c)x_cvp_(_cn_) ?58  ?_betawf_(268) '9 '_perlia_(c)x_cvp_(sf) ?5:  ?_betawf_(269) '; '_perlia_(c)x_cvp_(b) ?5<  ?_betawf_(270) '= '_perlia_(s)x_cvp_(c) ?5>  ?_betawf_(271) ' ? '_perlia_(s)x_cvp_(s) ?5 @  ?_betawf_(272) '!A '_perlia_(s)x_cvp_(w) ?5!B  ?_betawf_(273) 'v"lC '_perlia_(s)x_cvp_(_cn_) ?5v"lD  ?_betawf_(274) 'b#XE '_perlia_(s)x_cvp_(sf) ?5b#XF  ?_betawf_(275) 'N$D G '_perlia_(s)x_cvp_(b) ?5N$D H  ?_betawf_(276) ':%0!I '_perlia_(w)x_cvp_(c) ?5:%0!J  ?_betawf_(277) '&&"K '_perlia_(w)x_cvp_(s) ?5&&"L  ?_betawf_(278) ''#M '_perlia_(w)x_cvp_(w) ?5'#N  ?_betawf_(279) ''#O '_perlia_(w)x_cvp_(_cn_) ?5'#P  ?_betawf_(280) '($Q '_perlia_(w)x_cvp_(sf) ?5($R  ?_betawf_(281) ')%S '_perlia_(w)x_cvp_(b) ?5)%T  ?_betawf_(282) '*&U '_perlia_(_cn_)x_cvp_(c) ?5*&V  ?_betawf_(283) '+'W '_perlia_(_cn_)x_cvp_(s) ?5+'X  ?_betawf_(284) '  '_perlia_(_cn_)x_cvp_(w) ?5   ?_betawf_(285) ' '_perlia_(_cn_)x_cvp_(_cn_) ?5  ?_betawf_(286) ' '_perlia_(_cn_)x_cvp_(sf) ?5  ?_betawf_(287) ' '_perlia_(_cn_)x_cvp_(b) ?5  ?_betawf_(288) '  '_perlia_(sf)x_cvp_(c) ?5   ?_betawf_(289) '  '_perlia_(sf)x_cvp_(s) ?5   ?_betawf_(290) '   '_perlia_(sf)x_cvp_(w) ?5   ?_betawf_(291) '~ t '_perlia_(sf)x_cvp_(_cn_) ?5~ t  ?_betawf_(292) 'j ` '_perlia_(sf)x_cvp_(sf) ?5j `  ?_betawf_(293) 'V L '_perlia_(sf)x_cvp_(b) ?5V L  ?_betawf_(294) 'B 8  '_perlia_(c)2x_cvp_(c) ?5B 8   ?_betawf_(295) '.$  '_perlia_(c)2x_cvp_(s) ?5.$   ?_betawf_(296) '  '_perlia_(c)2x_cvp_(w) ?5   ?_betawf_(297) '  '_perlia_(c)2x_cvp_(_cn_) ?5   ?_betawf_(298) '  '_perlia_(c)2x_cvp_(sf) ?5   ?_betawf_(299) '  '_perlia_(c)2x_cvp_(b) ?5   ?_betawf_(300) '! '_perlia_(s)2x_cvp_(c) ?5"  ?_betawf_(301) '# '_perlia_(s)2x_cvp_(s) ?5$  ?_betawf_(302) '% '_perlia_(s)2x_cvp_(w) ?5&  ?_betawf_(303) '' '_perlia_(s)2x_cvp_(_cn_) ?5(  ?_betawf_(304) 'zp) '_perlia_(s)2x_cvp_(sf) ?5zp*  ?_betawf_(305) 'f\+ '_perlia_(s)2x_cvp_(b) ?5f\,  ?_betawf_(306) 'RH- '_perlia_(w)2x_cvp_(c) ?5RH.  ?_betawf_(307) '>4/ '_perlia_(w)2x_cvp_(s) ?5>40  ?_betawf_(308) '* 1 '_perlia_(w)2x_cvp_(w) ?5* 2  ?_betawf_(309) ' 3 '_perlia_(w)2x_cvp_(_cn_) ?5 4  ?_betawf_(310) '5 '_perlia_(w)2x_cvp_(sf) ?56  ?_betawf_(311) '7 '_perlia_(w)2x_cvp_(b) ?58  ?_betawf_(312) '9 '_perlia_(_cn_)2x_cvp_(c) ?5:  ?_betawf_(313) '; '_perlia_(_cn_)2x_cvp_(s) ?5<  ?_betawf_(314) '= '_perlia_(_cn_)2x_cvp_(w) ?5>  ?_betawf_(315) ' ? '_perlia_(_cn_)2x_cvp_(_cn_) ?5 @  ?_betawf_(316) '!A '_perlia_(_cn_)2x_cvp_(sf) ?5!B  ?_betawf_(317) 'v"lC '_perlia_(_cn_)2x_cvp_(b) ?5v"lD  ?_betawf_(318) 'b#XE '_perlia_(sf)2x_cvp_(c) ?5b#XF  ?_betawf_(319) 'N$D G '_perlia_(sf)2x_cvp_(s) ?5N$D H  ?_betawf_(320) ':%0!I '_perlia_(sf)2x_cvp_(w) ?5:%0!J  ?_betawf_(321) '&&"K '_perlia_(sf)2x_cvp_(_cn_) ?5&&"L  ?_betawf_(322) ''#M '_perlia_(sf)2x_cvp_(sf) ?5'#N  ?_betawf_(323) ''#O '_perlia_(sf)2x_cvp_(b) ?5'#P  ?_betawf_(324) '($Q '_perlia_(b)2x_cvp_(c) ?5($R  ?_betawf_(325) ')%S '_perlia_(b)2x_cvp_(s) ?5)%T  ?_betawf_(326) '*&U '_perlia_(b)2x_cvp_(w) ?5*&V  ?_betawf_(327) '+'W '_perlia_(b)2x_cvp_(_cn_) ?5+'X  ?_betawf_(328) '  '_perlia_(b)2x_cvp_(sf) ?5   ?_betawf_(329) ' '_perlia_(b)2x_cvp_(b)#XX'XbXX#OX*XXX-#!  J -#XX*XOXAZ# @ ?+ 4 <DL!X?    !X      ?+ 4 <DL!!? 4 Thewholefarmpremiumrate(_wfpremr_)isfoundbymultiplyingeach  coefficientbythecorrespondingvalueofthevariableandthensummingtheresults.Eachindividualcalculationshouldberoundedto9digits.Thesumshouldberoundedto4digits.Ifacropisnotused,caremustbetakentoavoiddividebyzeroerrorsintheratingvariables.  [     XX    &           CheckingtoSeeifMaximumWholeFarmDiscountisExceeded  ^    ]     ' ]       RAwholefarmpremiumratescannotbelessthan_minratefactor_timestheaverage   premiumratehadtheproducerboughtenterpriseunitcoverage,where_minratefactor_=.5,   iftwocropsareincludedinthewholefarmunit,=.475ifthreecrops,=.45iffourcrops,=.425iffivecrops,and=.4ifsixcropsareinclude.Todetermineifthislimithasbeenexceededweneedtousethewholefarmcoveragelevel,_covwf_,intheenterpriseunit j` premiumequationsforthecropsinthewholefarmunit.Theenterpriseequationswith_covwf_isreproducedbelow. < Eachindividualcalculationisroundedto9digitstothe >4 rightofthedecimalplace,andthevariable_epremrw_isroundedto4digits._epremrw_(j)is ( roundedtofourdigits.  <     L S((SL U3   U3c2(  23  )3  0 4    U3cc݌4!4! Ќ  i96l71!` p   `%Ee''e'i !!!! !  !!!!Nowweneedtotaketheweightedaverageof_epremrw_todetermineifthemaximum  !" discounthasbeenexceeded.o9l7'#`| !Pd `XE"PdZR"PdoL S((SL U3   U3f2(  24  )3  0 4   U3ff݌%!'4!4! Ќ   4  4    4 Nowset_wfpremr_equalto_minratefactor_Ԁtimestheweightedaverageofthe +'- enterpriseunitpremiumrateifthemaximumdiscountisexceeded,otherwiseleaveit ,'. alone.Theproductof_minratefactor_Ԁtimestheweightedaverageoftheenterpriseunit   premiumrateisroundedtofourdigitsbeforethecomparisonisdone.    !X      ?+ 4 <DL!!?L S((SL U3   U3j2(  25  )3  0 4    [9>l@# `XE  [  U3jj݌4!4! Ќ   i     XX    &           Peracrewholefarmunitpremiums l  d Z Ql    'd al      4 Thenextstepistoaddthepreventedplantingload.Theresultingperacrepremiumisroundedtotwodigits.Thepreventedplantingloadistheshareandacreageweightedaverageofthepreventedplantingloadforcornandsoybeans.  At60%preventedplanting ]nL S((SL U3   U3n2(  26  )3  0 4    [9XRY#! `XE T T[U3n o݌ND 4!4! Ќ  &           At65%preventedplanting   L S((SL U3   U3p2(  27  )3  0 4     _pp    '!p4!4!      i9yR1!` p  `XEPPPi !!!! ,  !  , U3pq݌̌   !!!!& N          At70%preventedplanting Rs dZ L S((SL U3   U3s2(  28  )3  0 4    U3st݌ 4!4! Ќ  r    'Nds     i9"l-1 !` p  `XEyaffyaf i !!!!& N          !!!!  Totalwholefarmunitpremiums v  %!' u    'N#u     Totalloadedpremiumisthenfoundbymultiplying_LWFP_byinsuredacresoneachunit B'8#) (orrecord)andthensummingupoverallrecords. Roundingonarecordbyrecord ,("$* basisisamajorchangeforRA2000(M13,_rectype_Ԁ11,field43,TotalPremium,pos.222).ThischangewillremovetheneedforprorationforDAS. eXX *%,  +'. ЇXXeL S((SL U3   U3@y2(  29  )3  0 4    #eXXx#[9R#! `XE :PP :P![U3@yky݌4!4! Ќ  XXe&    eXXee      XXe {  eXX7.PremiumSubsidy#XXe{# t{  B 8 zuni    XXXXXXXX'B z     { 4 Thepremiumsubsidycannotexceedthepremiumsubsidyavailablehadthe   farmerpurchasedacomparable_APH_Ԁpolicy.Allpremiumsubsidiesareroundedtowholedollaramounts.  4 Thevariable_ppfact_(j)isthepreventedplantingfactorforcropj.Ifthefarmer   doesnotbuyuppreventedplantingcoveragethen_ppfact_(j)=1.    &           Optionalunits M  ZP  ~uni    'Z      Firstcalculatethesubsidyavailableunderacomparable_APH_Ԁpolicy.Oneroundingrulehastobefollowedinthiscalculation.Theproductofapprovedyieldand0.65isroundedtoonedigittotherightofthedecimal. L S((SL U3   U3`2(  30  )3  0 4   d9l,"`P- `XE44"d @ U3`݌~4!4! Ќ  e9R-&`- `XEppp#e߀if_fyld_(_j,i_)iscupped,elseb9R*'`- `XE   $b!Z[J':6z \  p @@@E\ d% \R  4   4 TheRApremiumsubsidyequalstheminimumofanRAsubsidyfactortimesthe f\ totalloadedRApremiumandthesubsidyavailableunderacomparable_APH_Ԁpolicy. PF  4   U3   U32(  31  )3  0 4   U3݌$ 4!4! Ќ  ]9BlL%&` `XE  &]whereg9l/*` R  `XE $ $'g   !!L S((SL U3   U32(  32  )3  0 4    @4 U3݌$ $4 4! Ќ   !!  &            _subfact_(j)isroundedtothreedigits.  &"& Basicunits Ո  ^(T$( iuni    '&     Firstcalculatethesubsidyavailableunderacomparable_APH_Ԁpolicy. ,', _L S((SL U3   U32(  33  )3  0 4       [9l#( `XE44([߼U3;f݌ 4!4! Ќ  subaphb(j,i)isroundedtowholedollaramounts.  e9{R|-,`- `XEppp)e߀iffyld(j,i)iscupped,elseb9}R~*-`- `XE   *b!J':6z \  p @@@E d+  L S((SL U3!   U32(  34  )3  0 4   [9l#, `XE4= 4= ,[U3Ȇ݌ 4!4! Ќ  @*&           Enterpriseunit &  z p  Շ S       'z     FirstcalculatethepremiumsubsidyavailablehadthefarmerpurchasedAPHbasicunits. 4   L S((SL U3"   U32(  35  )3  0 4    [9Ml\#- `XE PP P-[U3։݌8. 4!4! Ќ  NowcalculatethepremiumsubsidyforRAusingtheRApremiumsubsidyfactorforenterpriseunits.Thispremiumsubsidyiscalculatedonarecordbyrecordbasis,andthensummed.NotethattherecordpremiumneedstoberoundedbeforeitismultipliedbytheRApremiumsubsidyfactor.L S((SL U3#   U3I2(  36  )3  0 4      [9_)`#. `XE4w/+/+4w/+.[U3It݌ 4!4! Ќ  whereL S((SL U3$   U3ڍ2(  37  )3  0     A l9VlW40$ `r k- `XEA A /lU3ڍ݌0&!! Ќ  subfacte(j)isroundedtothreedigits.  Thefinalstepistocomparesubaphe(j)andpsube(j).Ifsubaphe(j)islessthanpsube(j),  thensubaphb(j,i)isusedtocalculateproducerpremiumonarecordbyrecordbasis.If   subaphe(j)isgreaterthanpsube(j),then(XXԀ#XX(#XXXXthequantityround(subfacte(j)round(LEP(j) !  acre(j,i)share(j,i)),0),0)#XXXX#isusedtocalculateproducerpremiumonarecordbyrecord "v! basis. ThisisamajorchangeforRAin2000 . j#`"  &           Wholefarmunit   &!% i S       '&y    FirstcalculatethepremiumsubsidyavailablehadthefarmerpurchasedAPHbasicunits.  U3%   U32(  38  )3  0    U3݌)%)!! Ќ  d9l,0`P  `XE|*|*0d !!  !! J,@(,   NowcalculatethepremiumsubsidyforRAusingtheRApremiumsubsidyfactorforwholefarmunits.Thispremiumsubsidyiscalculatedonarecordbyrecordbasis,andthensummed.NotethattherecordpremiumneedstoberoundedbeforeitismultipliedbytheRApremiumsubsidyfactor. U3&   U32(  39  )3  0    U3݌!! Ќ  ]9r)%1` `XE >P>P >P1]where U3'   U32(  40  )3  0    U3݌ !! Ќ  L S((SLl9l42$ `r k  `XE```2l !!!! !!!!subfactwfisroundedtothreedigits.    Thefinalstepistocomparesubaphwfandpsubwf.Ifsubaphwfislessthan ~t psubwf,thensubaphb(j,i)isusedtocalculateproducerpremiumonarecordbyrecord h^ basis.Ifsubaphwfisgreaterthanpsubwf,then(XXԀ#XX(#XXXXthequantityround(subfactwfround(LWFP RH acre(j,i)share(j,i)),0),0)#XXXX]#isusedtocalculateproducerpremiumonarecordbyrecord <2 basis. ThisisamajorchangeforRAin2000 . & &    eXXee      {  8.ProducerPaidPremiums Q    S      XXeXXXX'    {  Thefollowingequationsareusedtocalculatethesubsidizedproducerpaid  premiumsforeachunitstructure.Becauseboththeunsubsidizedandsubsidizedpremiumsareroundedtowholedollaramounts,therewillbenoneedtoroundproducerpaidpremium.&           Optionalunits ˟  > 4 z >       '>     L S((SL U3(   U3Ҡ2(  41  )3  0     A [9l#3 `XEA !A !3[U3Ҡ݌!!!! Ќ  &           Basicunits T  T%J!%  >   rr!!    'T%    L S((SL U3)   U3i2(  42  )3  0     @ d9l,4`P  `XEr 'r '4dU3i݌'"'r! Ќ   !!rr&           Enterpriseunit   ($)  >       '(ͤ    Ifsubaphe(j)islessthanpsube(j),then j*`&+   _ ,(-  !!L S((SL U3*   U32(  43  )3  0     @ d9l,5`P  `XE5dU3٦݌ ! Ќ  &             !!If_subaphe_(j)isgreaterthan_psube_(j),then nd  d d !!L S((SL U3+   U3]2(  44  )3  0     A d9),6`P  `XEd d 6dU3]݌ d ! Ќ  8  !!d d   The  total  producerpremi  um  isfoundbysummingoverallunits.    isfoundbysumming  Wholefarmunit     >      '         If_subaphwf_Ԁislessthan_psubwf_,then      !!L S((SL U3,   U302(  45  )3  0     @ d9),7`P  `XEVVV7dU30[݌! Ќ    !!If_subaphwf_Ԁisgreaterthan_psubwf_,then bX    !!L S((SL U3-   U32(  46  )3  0     @ ?9J)K,8`P  `X?  d9),8`P  `XE  8d U3݌ ! Ќ  i  !!      " &    eXXee      {  9.AppendixA.CoefficientValuesforSingleCropEquations    ` >      XXeXXXX'p      {In2000, Iowa, IllinoisandIndianawillhavetwocropseligibleforRA.Idaho, Iowa, Minnesota,  andSouthDakotawillhavethreecropseligible,andNorthDakotawillhavesixcropseligible.Thesinglecropcoefficientsarepresentedinthetablesbelowbystate.  Becausethereare162setsofwholefarmcoefficients,witheachsetcontaining330coefficients,itisnotpracticalorusefultoprintthemhere.AnExcelspreadsheetcontainingthecoefficientswillaccompanythissetofprogramminginstructions.   Inthetables Option=Noreferstothesinglecropcoefficientsthatareusedwhentheproducerdoesnotselecttheharvestpriceoption. Option=Yesreferstothecoefficientsthatshouldbeusedwhentheproducerselectstheharvestpriceoption. TableA1.SinglecropcoefficientsforIdaho  D:  *rmn dKd  '(!!r,2 , , , , , , +  5    " .$ 5lXXXX?+ 4 <DL!X?lXlX C    0!>43     C  #lXXlո#l_.XlXIdaho#lXX.l_f#lXlX Z    G/>4#        Z#lXXl#lXlX C    0!rh3     C  SpringWheat F    3$rh#     F_Canola_ F    3$rh"     FBarley Z    G/rh"        Z ?    ,!XN3     ?Option=no ?    ,!XN3     ?Option=yes ?    ,!XN     ?Option=no ?    ,!XN3     ?Option=yes ?    ,!XN     ?Option=no ?    ,!XN     ?Option=yes W    D,XN        W#lXXlL#lXlX beta(0) e    R!>4     bg ſ-0.16438bg ſeЄ0.16438     xG>4 " bg ſ-0.16438 bg ſ     `<ǿ-0.18153`<ǿЄ0.18153     xG>4!" `<ǿ-0.18153 `<ǿ     V`Ⱥ-0.10462V`Ⱥ?+ 4 <DL!X?#(lt#O>%0(Ԅ0.10462 e    RG>4"3 V`Ⱥ-0.10462 V`Ⱥ     eЄ0.11482 ?    ,!>4#3     ?Є0.17617 e    R!>4$"     F_ȿ-0.19215F_ȿeЄ#(0O>%%#)(0.19215 }    jR>4%" F_ȿ-0.19215   F_ȿ     }beta(1) ?    ,!,"&     ?1.16484 ?    ,!,"'"     ?1.27202 ?    ,!,"("     ?0.85411 ?    ,!,")3     ?0.90925 ?    ,!,"*3     ?1.16531 ?    ,!,"+"     ?1.27182 W    D,,","        Wbeta(2) ?    ,!-     ?Є0.09224 ?    ,!."     ?Є0.21328 ?    ,!/"     ?0.32175 ?    ,!03     ?0.28752 ?    ,!13     ?Є0.06103 ?    ,!2"     ?Є0.17964 W    D,3"        Wbeta(3) ?    ,!4     ?0.19383 ?    ,!5"     ?0.21510 ?    ,!6"     ?0.17778 ?    ,!73     ?0.18946 ?    ,!83     ?0.22941 ?    ,!9"     ?0.24402 W    D,:"        Wbeta(4) ?    ,!;     ?0.09381 ?    ,!<"     ?0.10305 ?    ,!="     ?0.10307 ?    ,!>3     ?0.11978 ?    ,!?3     ?0.07367 ?    ,!@"     ?0.08842 W    D,A"        Wbeta(5) ?    ,!B     ?0.02243 ?    ,!C"     ?0.02167 ?    ,!D"     ?Є0.03651 ?    ,!E3     ?Є0.04013 ?    ,!F3     ?0.02269 d    Q!G"     )t^c?0.02284)t^c?d0.02284 |    iQH" )t^c?0.02284   )t^c?     |beta(6) ?    ,!I     ?0.00589 ?    ,!J"     ?0.00857 ?    ,!K"     ?0.02067 ?    ,!L3     ?0.02552 ?    ,!M3     ?0.00576 d    Q!N"     3yS?0.008463yS?d0.00846 |    iQO" 3yS?0.00846   3yS?     |beta(7) ?    ,!P     ?Є0.04773 ?    ,!Q"     ?Є0.07876 ?    ,!R"     ?Є0.09278 ?    ,!S3     ?Є0.12737 ?    ,!T3     ?Є0.04645 d    Q!U"     QI&-0.0709QI&dЄ0.07090 |    iQV" QI&-0.0709   QI&     |beta(8) ?    ,!vlW     ?0.18443 ?    ,!vlX"     ?0.09931 ?    ,!vlY"     ?0.24975 ?    ,!vlZ3     ?0.16242 ?    ,!vl[3     ?0.21208 c    P!vl\"     0*D?0.12710*D?c0.12710 {    hPvl]" 0*D?0.1271   0*D?     {beta(9) ?    ,!\R^     ?Є0.16172 ?    ,!\R_"     ?Є0.26359 ?    ,!\R`"     ?Є0.22610 ?    ,!\Ra3     ?Є0.33616 ?    ,!\Rb3     ?Є0.20586 e    R!\Rc"     ֋hWӿ-0.30221֋hWӿeЄ0.30221 }    jR\Rd" ֋hWӿ-0.30221   ֋hWӿ     }beta(10) ?    ,!B8e     ?0.02672 ?    ,!B8f"     ?0.03981 ?    ,!B8g"     ?0.27996 ?    ,!B8h3     ?0.34279 ?    ,!B8i3     ?0.03219 d    Q!B8j"     wT ?0.04502wT ?d0.04502 |    iQB8k" wT ?0.04502   wT ?     |beta(11) ?    ,!( l     ?Є0.28855 ?    ,!( m"     ?0.14838 ?    ,!( n"     ?Є0.27545 ?    ,!( o3     ?0.13882 ?    ,!( p3     ?Є0.28872 d    Q!( q"     [:?0.04146//>:?d0.04146 d    QFl b )" //>:?0.04146 //>:?     d0.04204 W    D,l b *"        Wbeta(6) ?    ,!RH +     ?0.00699 ?    ,!RH ,"     ?0.01177 d    Q!RH -"      X4}?0.00713 X4}?d0.00713     vFRH ."  X4}?0.00713  X4}?     )s?0.01194)s?0.01194 |    iQRH /" )s?0.01194   )s?     |beta(7) ?    ,!8. 0     ?Є0.20604 ?    ,!8. 1"     ?Є0.27185 ?    ,!8. 2"     ?Є0.20476 e    R!8. 3"     6Uп-0.263786UпeЄ0.26378 }    jR8. 4" 6Uп-0.26378   6Uп     }beta(8) ?    ,! 5     ?0.27356 ?    ,! 6"     ?0.20349 d    Q! 7"     %?0.29236%?d0.29236     vF 8" %?0.29236 %?      2Y?0.22149 2Y?0.22149 |    iQ 9"  2Y?0.22149    2Y?     |beta(9) ?    ,! :     ?0.36872 ?    ,! ;"     ?0.20055 d    Q! <"     cE a?0.26516cE a?d0.26516     vF =" cE a?0.26516 cE a?     [[?0.16684[[?0.16684 |    iQ >" [[?0.16684   [[?     |beta(10) ?    ,! ?     ?0.06642 ?    ,! @"     ?0.10423 d    Q! A"     yCn?0.07627yCn?d0.07627     vF B" yCn?0.07627 yCn?     L1?0.13431L1?0.13431 |    iQ C" L1?0.13431   L1?     |beta(11) ?    ,!D     ?Є0.17556 ?    ,!E"     ?0.5512 d    Q!F"     6˿-0.21686˿dЄ0.2168     vFG" 6˿-0.2168 6˿     [K?0.40216[K?0.40216 |    iQH" [K?0.40216   [K?     |beta(12) ?    ,!I     ?Є0.08962 ?    ,!J"     ?Є0.11846 e    R!K"     Jh-0.08602JheЄ0.08602     xGL" Jh-0.08602 Jh     Vc-0.10699VcЄ0.10699 }    jRM" Vc-0.10699   Vc     }beta(13) ?    ,!N     ?0.24246 ?    ,!O"     ?0.47143 d    Q!P"      [?0.28686 [?d0.28686     vFQ"  [?0.28686  [?     ah?0.49078ah?0.49078 |    iQR" ah?0.49078   ah?     |beta(14) ?    ,!xS     ?Є0.01249 ?    ,!xT"     ?Є0.02682 ?    ,!xU"     ?Є0.02219 e    R!xV"     ++MJ-0.03377++MJeЄ0.03377#(lO##e(*#bXVxW" ++MJ-0.03377    ++MJ     bXXeTableA3.SinglecropcoefficientsforIndiana#eXX#XXe dZX * dd2 2    j!!,2 , , , , +  5    " NDY 5#eXXl#(el(?+ 4 <DL!X? C    0!^TZ3     C  #l_.l=#Indianal.l_ Z    G/^T[#        Z C    0!\3     CCorn F    3$]"     FSoybeans Z    G/^"        Z ?    ,!xn_3     ?Option=no ?    ,!xn`3     ?Option=yes ?    ,!xna     ?Option=no ?    ,!xnb     ?Option=yes W    D,xnc        W#(l\#l(#l_.l6#l.l_beta(0) ?    ,!^Td"     ??+ 4 <DL!X?ӄ0.10367 ?    ,!^Te"     ?Є0.14428 ?    ,!^Tf"     ?Є0.15509 ?    ,!^Tg"     ?Є0.14798 W    D,^Th"        Wbeta(1) ?    ,!D:i"     ?1.0863 ?    ,!D:j"     ?1.37339 ?    ,!D:k"     ?1.34321 ?    ,!D:l"     ?1.73541 W    D,D:m"        Wbeta(2) ?    ,!* n"     ?Є0.05144 ?    ,!* o"     ?Є0.43752 ?    ,!* p"     ?Є0.29803 ?    ,!* q"     ?Є0.41544 W    D,* r"        Wbeta(3) ?    ,!s"     ?0.05027 ?    ,!t"     ?0.11261 ?    ,!u"     ?0.14471 ?    ,!v"     ?0.19257 W    D,w"        Wbeta(4) ?    ,!x"     ?0.18668 ?    ,!y"     ?0.18961 ?    ,!z"     ?0.13708 ?    ,!{"     ?0.07989 W    D,|"        Wbeta(5) ?    ,!}"     ?0.04487 ?    ,!~"     ?0.05142 ?    ,!"     ?0.05481 ?    ,!"     ?0.03561 W    D,"        Wbeta(6) ?    ,! "     ?0.00834 ?    ,! "     ?0.01388 ?    ,! "     ?0.00518 ?    ,! "     ?0.00975 W    D, "        Wbeta(7) ?    ,!!"     ?Є0.25136 ?    ,!!"     ?Є0.3159 ?    ,!!"     ?Є0.19741 ?    ,!!"     ?Є0.79864 W    D,!"        Wbeta(8) ?    ,!""     ?0.3087 ?    ,!""     ?0.23568 ?    ,!""     ?0.32346 ?    ,!""     ?1.31838 W    D,""        Wbeta(9) ?    ,!t#j"     ?Є0.07656 ?    ,!t#j"     ?Є0.37215 ?    ,!t#j"     ?Є0.21614 ?    ,!t#j"     ?Є0.50795 W    D,t#j"        Wbeta(10) ?    ,!Z$P "     ?0.04027 ?    ,!Z$P "     ?0.07144 ?    ,!Z$P "     ?Є0.07401 ?    ,!Z$P "     ?Є0.10912 W    D,Z$P "        Wbeta(11) ?    ,!@%6!"     ?Є0.23018 ?    ,!@%6!"     ?0.4199 ?    ,!@%6!"     ?Є0.32096 ?    ,!@%6!"     ?Є0.50699 W    D,@%6!"        Wbeta(12) ?    ,!&&""     ?Є0.10144 ?    ,!&&""     ?Є0.13259 ?    ,!&&""     ?Є0.09779 ?    ,!&&""     ?Є0.09255 W    D,&&""        Wbeta(13) ?    ,! '#"     ?0.27958 ?    ,! '#"     ?0.53236 ?    ,! '#"     ?0.26542 ?    ,! '#"     ?0.9701 W    D, '#"        Wbeta(14) ?    ,!'#"     ?Є0.00306 ?    ,!'#"     ?Є0.02335 ?    ,!'#"     ?Є0.01188 ?    ,!'#"     ?Є0.00236#l_.l ##e.l_D #<20'#"         <XXe  )% #eXX"#XXeTableA4.SinglecropcoefficientsforIowa " * dd2 2    !! , , , , , ,P ,   , , , , ,  +  5    "   5?+ 4 <DL!X?#eXXv"#(eO>%0( C    0!3     C C    0!3     C #O(30O>%%##e3O(%#O(3e  Iowa Z    G/#        ZO>%03O(#(0O>%&#O>%0( C    0!j`3     C#(0O>%q'#l(Corn F    3$j`"     FSoybeans F   3$j`"     FSpringWheat #(l'#O>%0( Z    G/j`"        Z ?    ,!T J 3     ?#O(30O>%/'#O>%03O(#(0O>%(#l(Option=no ?    ,!T J 3     ?Option=yes ?    ,!T J      ?#l_.l)#l.l_#(l*#l(Option=no ?    ,!T J 3     ?Option=yes ?    ,!T J     ? #l_.l*#l.l_#(l+#l( Option= T J no ?    ,! 3     ?Option=yes W    D,T J         Wbeta(0) ?    ,!> 4     ?Є0.06702 ?    ,!> 4"     ?Є0.08801 ?    ,!> 4"     ?Є0.06226 ?    ,!> 4"     ?Є0.06538 ?    ,! "     ?Є0.23971 ?    ,! "     ?Є0.27507 W    D,> 4"        Wbeta(1) ?    ,!$      ?0.71182 ?    ,!$ "     ?0.93041 ?    ,!$ "     ?0.82289 ?    ,!$ "     ?0.91853 ?    ,! "     ?1.12808 ?    ,! "     ?1.22164 W    D,$ "        Wbeta(2) ?    ,!      ?Є0.05698 ?    ,! "     ?Є0.52708 ?    ,! "     ?Є0.24116 ?    ,! "     ?Є0.50253 ?    ,! $"     ?0.01797 ?    ,! %"     ?Є0.06587 W    D, "        Wbeta(3) ?    ,!      ?0.00038 ?    ,! "     ?0.02156 ?    ,! "     ?Є0.01620 ?    ,!  "     ?Є0.02421 ?    ,! +"     ?0.40034 ?    ,! ,"     ?0.46867 W    D, !"        Wbeta(4) ?    ,! "     ?0.17031 ?    ,! #"     ?0.19398 ?    ,! $"     ?0.18585 ?    ,! %"     ?0.21708 ?    ,! 2"     ?Є0.03801 ?    ,! 3"     ?Є0.05780 W    D, &"        Wbeta(5) ?    ,! '     ?0.04712 ?    ,! ("     ?0.05276 ?    ,! )"     ?0.04308 ?    ,! *"     ?0.04227 ?    ,!~t 9"     ?0.02944 ?    ,!~t :"     ?0.02927 W    D, +"        Wbeta(6) ?    ,! ,     ?0.00591 ?    ,! -"     ?0.01144 ?    ,! ."     ?0.00669 ?    ,! /"     ?0.01186 ?    ,!dZ @"     ?0.00361 ?    ,!dZ A"     ?0.00583 W    D, 0"        Wbeta(7) ?    ,!~ 1     ?Є0.22933 ?    ,!~ 2"     ?Є0.29776 ?    ,!~ 3"     ?Є0.21835 ?    ,!~ 4"     ?Є0.27985 ?    ,!J@ G"     ?Є0.07494 ?    ,!J@ H"     ?Є0.08117 W    D,~ 5"        Wbeta(8) ?    ,!nd 6     ?0.27952 ?    ,!nd 7"     ?0.20792 ?    ,!nd 8"     ?0.29876 ?    ,!nd 9"     ?0.22650 ?    ,!0&N"     ?0.21342 ?    ,!0&O"     ?0.12744 W    D,nd :"        Wbeta(9) ?    ,!TJ;     ?0.43886 ?    ,!TJ<"     ?0.22308 ?    ,!TJ="     ?0.30167 ?    ,!TJ>"     ?0.18437 ?    ,! U"     ?Є0.20224 ?    ,! V"     ?Є0.29733 W    D,TJ?"        Wbeta(10) ?    ,!:0@     ?0.04572 ?    ,!:0A"     ?0.10047 ?    ,!:0B"     ?0.06784 ?    ,!:0C"     ?0.13641 ?    ,!\"     ?0.03889 ?    ,!]"     ?0.05186 W    D,:0D"        Wbeta(11) ?    ,! E     ?Є0.12068 ?    ,! F"     ?0.67906 ?    ,! G"     ?Є0.19416 ?    ,! H"     ?0.46235 ?    ,!c"     ?Є0.25274 ?    ,!d"     ?0.15356 W    D, I"        Wbeta(12) ?    ,!J     ?Є0.08980 ?    ,!K"     ?Є0.12015 ?    ,!L"     ?Є0.08623 ?    ,!M"     ?Є0.10689 ?    ,!j"     ?Є0.06473 ?    ,!k"     ?Є0.07620 W    D,N"        Wbeta(13) ?    ,!O     ?0.22556 ?    ,!P"     ?0.48291 ?    ,!Q"     ?0.28282 ?    ,!R"     ?0.50117 ?    ,!q"     ?0.16125 ?    ,!r"     ?0.30754 W    D,S"        Wbeta(14) ?    ,!T     ?Є0.00652 ?    ,!U"     ?Є0.02300 ?    ,!V"     ?Є0.01967 ?    ,!W"     ?Є0.03281 ?    ,!x"     ?Є0.01157 e    R!y"     c -0.02347c eЄ0.02347 <20X"         <#(l=,##e(+#  Y XXeTableA5.SinglecropcoefficientsforSouthernMinnesota   * dd     !!, , , , , ,P , +  5    "  5?+ 4 <DL!X?#eXXvL#(eO>%0( C    0!3     C#O(30O>%N#OXA*X3O(#XX*XOXAO#OXA*XXX  SouthernMinnesota Z    G/#        Z#O(3*XOXAO#O>%03O(#(0O>%O#O>%0( C    0!3     C#(0O>%P#l(Corn F    3$"     FSoybeans F   3$"     FSpringWheat#(l_Q#O>%0( Z    G/"       Z ?    ,! 3     ?#O(30O>%P#O>%03O(#(0O>%ER#l(Option=no ?    ,! 3     ?Option=yes ?    ,!      ?#l_.l S#l.l_#(lbS#l(Option=no ?    ,! 3     ?Option=yes ?    ,!      ?#l_.l8T#l.l_#(lzT#l(Option=  no ?    ,!3     ?Option=yes W    D,        W#(lU#l(#l_.lPU#l.l_beta(0) ?    ,! "     ??+ 4 <DL!X?ӄ0.07727 ?    ,! "     ?Є0.09442 ?    ,! "     ?Є0.06656 ?    ,! "     ?Є0.06977 ?    ,! "     ?Є0.23971 ?    ,! "     ?Є0.27507 W    D, "        Wbeta(1) ?    ,! "     ?0.75639 ?    ,! "     ?0.93959 ?    ,! "     ?0.85040 ?    ,! "     ?0.93357 ?    ,! "     ?1.12808 ?    ,! "     ?1.22164 W    D, "        Wbeta(2) ?    ,!| r"     ?Є0.08840 ?    ,!| r "     ?Є0.49030 ?    ,!| r!"     ?Є0.26828 ?    ,!| r""     ?Є0.49726 ?    ,!| r#"     ?0.01797 ?    ,!| r$"     ?Є0.06587 W    D,| r%"        Wbeta(3) ?    ,!b X&"     ?0.02436 ?    ,!b X'"     ?0.03687 ?    ,!b X("     ?Є0.00799 ?    ,!b X)"     ?Є0.01597 ?    ,!b X*"     ?0.40034 ?    ,!b X+"     ?0.46867 W    D,b X,"        Wbeta(4) ?    ,!H > -"     ?0.15904 ?    ,!H > ."     ?0.18536 ?    ,!H > /"     ?0.18345 ?    ,!H > 0"     ?0.21383 ?    ,!H > 1"     ?Є0.03801 ?    ,!H > 2"     ?Є0.05780 W    D,H > 3"        Wbeta(5) ?    ,!.$ 4"     ?0.04360 ?    ,!.$ 5"     ?0.05058 ?    ,!.$ 6"     ?0.04146 ?    ,!.$ 7"     ?0.04204 ?    ,!.$ 8"     ?0.02944 ?    ,!.$ 9"     ?0.02927 W    D,.$ :"        Wbeta(6) ?    ,! ;"     ?0.00699 ?    ,! <"     ?0.01177 ?    ,! ="     ?0.00713 ?    ,! >"     ?0.01194 ?    ,! ?"     ?0.00361 ?    ,! @"     ?0.00583 W    D, A"        Wbeta(7) ?    ,! B"     ?Є0.20604 ?    ,! C"     ?Є0.27185 ?    ,! D"     ?Є0.20476 ?    ,! E"     ?Є0.26378 ?    ,! F"     ?Є0.07494 ?    ,! G"     ?Є0.08117 W    D, H"        Wbeta(8) ?    ,! I"     ?0.27356 ?    ,! J"     ?0.20349 ?    ,! K"     ?0.29236 ?    ,! L"     ?0.22149 ?    ,! M"     ?0.21342 ?    ,! N"     ?0.12744 W    D, O"        Wbeta(9) ?    ,! P"     ?0.36872 ?    ,! Q"     ?0.20055 ?    ,! R"     ?0.26516 ?    ,! S"     ?0.16684 ?    ,! T"     ?Є0.20224 ?    ,! U"     ?Є0.29733 W    D, V"        Wbeta(10) ?    ,!W"     ?0.06642 ?    ,!X"     ?0.10423 ?    ,!Y"     ?0.07627 ?    ,!Z"     ?0.13431 ?    ,!["     ?0.03889 ?    ,!\"     ?0.05186 W    D,]"        Wbeta(11) ?    ,!^"     ?Є0.17556 ?    ,!_"     ?0.55120 ?    ,!`"     ?Є0.21680 ?    ,!a"     ?0.40216 ?    ,!b"     ?Є0.25274 ?    ,!c"     ?0.15356 W    D,d"        Wbeta(12) ?    ,!xne"     ?Є0.08962 ?    ,!xnf"     ?Є0.11846 ?    ,!xng"     ?Є0.08602 ?    ,!xnh"     ?Є0.10699 ?    ,!xni"     ?Є0.06473 ?    ,!xnj"     ?Є0.07620 W    D,xnk"        Wbeta(13) ?    ,!^Tl"     ?0.24246 ?    ,!^Tm"     ?0.47143 ?    ,!^Tn"     ?0.28686 ?    ,!^To"     ?0.49078 ?    ,!^Tp"     ?0.16125 ?    ,!^Tq"     ?0.30754 W    D,^Tr"        Wbeta(14) ?    ,!D:s"     ?Є0.01249 ?    ,!D:t"     ?Є0.02682 ?    ,!D:u"     ?Є0.02219 ?    ,!D:v"     ?Є0.03377 ?    ,!D:w"     ?Є0.01157 e    R!D:x"     c -0.02347c eЄ0.02347#l_.lV##e.l_V#bXVD:y" c -0.02347    c      bXXe#eXXu#XXeTableA6.SinglecropcoefficientsforNorthernMinnesota | * dd     P P !!, , , , , ,P , +  5    " } 5?+ 4 <DL!X?#eXX?v#(eO>%0( C    0! ~3     C#O(30O>%x#OXA*X3O(#XX*XOXAy#OXA*XXX  NorthernMinnesota Z    G/ #        Z#O(3*XOXAy#O>%03O(#(0O>%y#O>%0( C    0! 3     C#(0O>%z#l(Corn F    3$ "     FSoybeans F   3$ "     FSpringWheat#(lT{#O>%0( Z    G/ "       Z ?    ,! 3     ?#O(30O>%z#O>%03O(#(0O>%:|#l(Option=no ?    ,! 3     ?Option=yes ?    ,!      ?#l_.l}#l.l_#(lW}#l(Option=no ?    ,! 3     ?Option=yes ?    ,!      ?#l_.l-~#l.l_#(lo~#l(Option=   no ?    ,!3     ?Option=yes W    D,         W#(l#l(#l_.lE#l.l_beta(0) ?    ,!"     ??+ 4 <DL!X?ӄ0.21513 ?    ,!"     ?Є0.23732 ?    ,!"     ?Є0.23300 ?    ,!"     ?Є0.22804 ?    ,!"     ?Є0.21139 ?    ,!"     ?Є0.26570 W    D,"        Wbeta(1) ?    ,!"     ?1.19244 ?    ,!"     ?1.28396 ?    ,!"     ?1.17269 ?    ,!"     ?1.35975 ?    ,!"     ?1.06216 ?    ,!"     ?1.18708 W    D,"        Wbeta(2) ?    ,! x"     ?0.09248 ?    ,! x"     ?0.02174 ?    ,! x"     ?0.13426 ?    ,! x"     ?0.10208 ?    ,! x"     ?0.05716 ?    ,! x"     ?Є0.05504 W    D, x"        Wbeta(3) ?    ,!h!^"     ?0.35187 ?    ,!h!^"     ?0.38620 ?    ,!h!^"     ?0.28580 ?    ,!h!^"     ?0.29324 ?    ,!h!^"     ?0.34137 ?    ,!h!^"     ?0.45991 W    D,h!^"        Wbeta(4) ?    ,!N"D"     ?0.00673 ?    ,!N"D"     ?0.00854 ?    ,!N"D"     ?0.08557 ?    ,!N"D"     ?0.08015 ?    ,!N"D"     ?Є0.00971 ?    ,!N"D"     ?Є0.05929 W    D,N"D"        Wbeta(5) ?    ,!4#*"     ?0.01335 ?    ,!4#*"     ?0.01124 ?    ,!4#*"     ?0.08236 ?    ,!4#*"     ?0.06703 ?    ,!4#*"     ?0.03279 ?    ,!4#*"     ?0.02836 W    D,4#*"        Wbeta(6) ?    ,!$ "     ?0.00773 ?    ,!$ "     ?0.01059 ?    ,!$ "     ?Є0.00700 ?    ,!$ "     ?0.00131 ?    ,!$ "     ?0.00317 ?    ,!$ "     ?0.00616 W    D,$ "        Wbeta(7) ?    ,!% "     ?Є0.07962 ?    ,!% "     ?Є0.08878 ?    ,!% "     ?Є0.03268 ?    ,!% "     ?Є0.35424 ?    ,!% "     ?Є0.18472 ?    ,!% "     ?Є0.16935 W    D,% "        Wbeta(8) ?    ,!%!"     ?0.22169 ?    ,!%!"     ?0.15085 ?    ,!%!"     ?0.19315 ?    ,!%!"     ?1.02786 ?    ,!%!"     ?0.25085 ?    ,!%!"     ?0.15286 W    D,%!"        Wbeta(9) ?    ,!&""     ?Є0.36421 ?    ,!&""     ?Є0.46038 ?    ,!&""     ?Є0.35889 ?    ,!&""     ?Є0.52127 ?    ,!&""     ?Є0.13502 ?    ,!&""     ?Є0.27016 W    D,&""        Wbeta(10) ?    ,!'#"     ?0.05818 ?    ,!'#"     ?0.07543 ?    ,!'#"     ?0.07330 ?    ,!'#"     ?0.08087 ?    ,!'#"     ?0.03950 ?    ,!'#"     ?0.06543 W    D,'#"        Wbeta(11) ?    ,!($"     ?Є0.24464 ?    ,!($"     ?0.11580 ?    ,!($"     ?Є0.25849 ?    ,!($"     ?Є0.33084 ?    ,!($"     ?Є0.11327 ?    ,!($"     ?0.34380 W    D,($"        Wbeta(12) ?    ,!~)t%"     ?Є0.06441 ?    ,!~)t%"     ?Є0.07462 ?    ,!~)t%"     ?Є0.10712 ?    ,!~)t%"     ?Є0.11154 ?    ,!~)t%"     ?Є0.06720 ?    ,!~)t%"     ?Є0.07791 W    D,~)t%"        Wbeta(13) ?    ,!d*Z&"     ?0.17155 ?    ,!d*Z&"     ?0.31866 ?    ,!d*Z&"     ?0.13316 ?    ,!d*Z&"     ?0.56064 ?    ,!d*Z&"     ?0.20655 ?    ,!d*Z&"     ?0.38706 W    D,d*Z&"        Wbeta(14) ?    ,!J+@'"     ?Є0.00810 ?    ,!J+@'"     ?Є0.02466 ?    ,!J+@'"     ?Є0.00563 ?    ,!J+@'"     ?Є0.02737 ?    ,!J+@'"     ?Є0.00672 e    R!J+@'"     ۅ:-0.02022ۅ:eЄ0.02022#l_.lˀ##e.l_#O(3ebXVJ+@'" ۅ:-0.02022    ۅ:     bOXA*X3O(#O(3*XOXA##e3O(#XXeTableA7.SinglecropcoefficientsforEasternSouthDakota  * dd     P P !!, , , , , ,P , +  5    "  5?+ 4 <DL!X?#eXXr#(eO>%0( C    0!3     C#O(30O>%#OXA*X3O(#XX*XOXA2#OXA*XXX  EasternSouthDakota Z    G/#        Z#O(3*XOXA#O>%03O(#(0O>%#O>%0( C    0!3     C#(0O>%#l(Corn F    3$"     FSoybeans F   3$"     FSpringWheat#(l#O>%0( Z    G/ "       Z ?    ,! 3     ?#O(30O>%#O>%03O(#(0O>%h#l(Option=no ?    ,! 3     ?Option=yes ?    ,!      ?#l_.lC#l.l_#(l#l(Option=no ?    ,! 3     ?Option=yes ?    ,!     ?#l_.l[#l.l_#(l#l(Option=  no ?    ,! 3     ?Option=yes W    D,        W#(l#l(#l_.ls#l.l_beta(0) ?    ,! "     ??+ 4 <DL!X?ӄ0.07727 ?    ,! "     ?Є0.09442 ?    ,! "     ?Є0.06656 ?    ,! "     ?Є0.06977 ?    ,! "     ?Є0.23971 ?    ,! "     ?Є0.27507 W    D, "        Wbeta(1) ?    ,! "     ?0.75639 ?    ,! "     ?0.93959 ?    ,! "     ?0.85040 ?    ,! "     ?0.93357 ?    ,! "     ?1.12808 ?    ,! "     ?1.22164 W    D, "        Wbeta(2) ?    ,!  "     ?Є0.08840 ?    ,! !"     ?Є0.49030 ?    ,! ""     ?Є0.26828 ?    ,! #"     ?Є0.49726 ?    ,! $"     ?0.01797 ?    ,! %"     ?Є0.06587 W    D, &"        Wbeta(3) ?    ,!} s '"     ?0.02436 ?    ,!} s ("     ?0.03687 ?    ,!} s )"     ?Є0.00799 ?    ,!} s *"     ?Є0.01597 ?    ,!} s +"     ?0.40034 ?    ,!} s ,"     ?0.46867 W    D,} s -"        Wbeta(4) ?    ,!cY ."     ?0.15904 ?    ,!cY /"     ?0.18536 ?    ,!cY 0"     ?0.18345 ?    ,!cY 1"     ?0.21383 ?    ,!cY 2"     ?Є0.03801 ?    ,!cY 3"     ?Є0.05780 W    D,cY 4"        Wbeta(5) ?    ,!I? 5"     ?0.04360 ?    ,!I? 6"     ?0.05058 ?    ,!I? 7"     ?0.04146 ?    ,!I? 8"     ?0.04204 ?    ,!I? 9"     ?0.02944 ?    ,!I? :"     ?0.02927 W    D,I? ;"        Wbeta(6) ?    ,!/% <"     ?0.00699 ?    ,!/% ="     ?0.01177 ?    ,!/% >"     ?0.00713 ?    ,!/% ?"     ?0.01194 ?    ,!/% @"     ?0.00361 ?    ,!/% A"     ?0.00583 W    D,/% B"        Wbeta(7) ?    ,! C"     ?Є0.20604 ?    ,! D"     ?Є0.27185 ?    ,! E"     ?Є0.20476 ?    ,! F"     ?Є0.26378 ?    ,! G"     ?Є0.07494 ?    ,! H"     ?Є0.08117 W    D, I"        Wbeta(8) ?    ,! J"     ?0.27356 ?    ,! K"     ?0.20349 ?    ,! L"     ?0.29236 ?    ,! M"     ?0.22149 ?    ,! N"     ?0.21342 ?    ,! O"     ?0.12744 W    D, P"        Wbeta(9) ?    ,!Q"     ?0.36872 ?    ,!R"     ?0.20055 ?    ,!S"     ?0.26516 ?    ,!T"     ?0.16684 ?    ,!U"     ?Є0.20224 ?    ,!V"     ?Є0.29733 W    D,W"        Wbeta(10) ?    ,!X"     ?0.06642 ?    ,!Y"     ?0.10423 ?    ,!Z"     ?0.07627 ?    ,!["     ?0.13431 ?    ,!\"     ?0.03889 ?    ,!]"     ?0.05186 W    D,^"        Wbeta(11) ?    ,!_"     ?Є0.17556 ?    ,!`"     ?0.55120 ?    ,!a"     ?Є0.21680 ?    ,!b"     ?0.40216 ?    ,!c"     ?Є0.25274 ?    ,!d"     ?0.15356 W    D,e"        Wbeta(12) ?    ,!f"     ?Є0.08962 ?    ,!g"     ?Є0.11846 ?    ,!h"     ?Є0.08602 ?    ,!i"     ?Є0.10699 ?    ,!j"     ?Є0.06473 ?    ,!k"     ?Є0.07620 W    D,l"        Wbeta(13) ?    ,!yom"     ?0.24246 ?    ,!yon"     ?0.47143 ?    ,!yoo"     ?0.28686 ?    ,!yop"     ?0.49078 ?    ,!yoq"     ?0.16125 ?    ,!yor"     ?0.30754 W    D,yos"        Wbeta(14) ?    ,!_Ut"     ?Є0.01249 ?    ,!_Uu"     ?Є0.02682 ?    ,!_Uv"     ?Є0.02219 ?    ,!_Uw"     ?Є0.03377 ?    ,!_Ux"     ?Є0.01157 e    R!_Uy"     c -0.02347c eЄ0.02347#l_.l##e.l_#O(3ebXV_Uz" c -0.02347    c      bOXA*X3O(#O(3*XOXA6##e3O(#XXeTableA8.SinglecropcoefficientsforWesternSouthDakota +!| * dd     P P !!, , , , , ,P , +  5    "  } 5?+ 4 <DL!X?#eXX#(eO>%0( C    0!%~3     C#O(30O>%A#OXA*X3O(#XX*XOXA`#OXA*XXX  WesternSouthDakota Z    G/%#        Z#O(3*XOXA#O>%03O(#(0O>%*#O>%0( C    0!/%3     C#(0O>%+#l(Corn F    3$/%"     FSoybeans F   3$/%"     FSpringWheat#(l#O>%0( Z    G//%"       Z ?    ,!3     ?#O(30O>%#O>%03O(#(0O>%#l(Option=no ?    ,!3     ?Option=yes ?    ,!     ?#l_.lq#l.l_#(l#l(Option=no ?    ,!3     ?Option=yes ?    ,!     ?#l_.l#l.l_#(l#l(Option=  no ?    ,!3     ?Option=yes W    D,        W#(l#l(#l_.l#l.l_beta(0) ?    ,!"     ?#(l#l(#l_.l'#l.l_?+ 4 <DL!X?ӄ0.21513 ?    ,!"     ?Є0.23732 ?    ,!"     ?Є0.23300 ?    ,!"     ?Є0.22804 ?    ,!"     ?Є0.21139 ?    ,!"     ?Є0.26570#l_.l#l.l_#(l#l( W    D,"        Wbeta(1) ?    ,!"     ?#(l#l(#l_.l#l.l_1.19244 ?    ,!"     ?1.28396 ?    ,!"     ?1.17269 ?    ,!"     ?1.35975 ?    ,!"     ?1.06216 ?    ,!"     ?1.18708#l_.l@#l.l_#(l#l( W    D,"        Wbeta(2) ?    ,! "     ?#(l)#l(#l_.l#l.l_0.09248 ?    ,! "     ?0.02174 ?    ,! "     ?0.13426 ?    ,! "     ?0.10208 ?    ,! "     ?0.05716 ?    ,! "     ?Є0.05504#l_.lJ#l.l_#(l#l( W    D, "        Wbeta(3) ?    ,!!"     ?#(l4#l(#l_.l#l.l_0.35187 ?    ,!!"     ?0.38620 ?    ,!!"     ?0.28580 ?    ,!!"     ?0.29324 ?    ,!!"     ?0.34137 ?    ,!!"     ?0.45991#l_.lU#l.l_#(l#l( W    D,!"        Wbeta(4) ?    ,!""     ?#(l>#l(#l_.l#l.l_0.00673 ?    ,!""     ?0.00854 ?    ,!""     ?0.08557 ?    ,!""     ?0.08015 ?    ,!""     ?Є0.00971 ?    ,!""     ?Є0.05929#l_.l_#l.l_#(l#l( W    D,""        Wbeta(5) ?    ,!t#j"     ?#(lJ#l(#l_.l#l.l_0.01335 ?    ,!t#j"     ?0.01124 ?    ,!t#j"     ?0.08236 ?    ,!t#j"     ?0.06703 ?    ,!t#j"     ?0.03279 ?    ,!t#j"     ?0.02836#l_.lk#l.l_#(l)#l( W    D,t#j"        Wbeta(6) ?    ,!Z$P "     ?#(lT#l(#l_.l#l.l_0.00773 ?    ,!Z$P "     ?0.01059 ?    ,!Z$P "     ?Є0.00700 ?    ,!Z$P "     ?0.00131 ?    ,!Z$P "     ?0.00317 ?    ,!Z$P "     ?0.00616#l_.lu#l.l_#(l3#l( W    D,Z$P "        Wbeta(7) ?    ,!@%6!"     ?#(l_#l(#l_.l#l.l_Ԅ0.07962 ?    ,!@%6!"     ?Є0.08878 ?    ,!@%6!"     ?Є0.03268 ?    ,!@%6!"     ?Є0.35424 ?    ,!@%6!"     ?Є0.18472 ?    ,!@%6!"     ?Є0.16935#l_.l#l.l_#(l>#l( W    D,@%6!"        Wbeta(8) ?    ,!&&""     ?#(lo#l(#l_.l-#l.l_0.22169 ?    ,!&&""     ?0.15085 ?    ,!&&""     ?0.19315 ?    ,!&&""     ?1.02786 ?    ,!&&""     ?0.25085 ?    ,!&&""     ?0.15286#l_.l#l.l_#(lN#l( W    D,&&""        Wbeta(9) ?    ,! '#"     ?#(ly#l(#l_.l7#l.l_Ԅ0.36421 ?    ,! '#"     ?Є0.46038 ?    ,! '#"     ?Є0.35889 ?    ,! '#"     ?Є0.52127 ?    ,! '#"     ?Є0.13502 ?    ,! '#"     ?Є0.27016#l_.l#l.l_#(lX#l( W    D, '#"        Wbeta(10) ?    ,!'#"     ?#(l#l(#l_.lG#l.l_0.05818 ?    ,!'#"     ?0.07543 ?    ,!'#"     ?0.07330 ?    ,!'#"     ?0.08087 ?    ,!'#"     ?0.03950 ?    ,!'#"     ?0.06543#l_.l#l.l_#(li#l( W    D,'#"        Wbeta(11) ?    ,!($"     ?#(l#l(#l_.lR#l.l_Ԅ0.24464 ?    ,!($"     ?0.11580 ?    ,!($"     ?Є0.25849 ?    ,!($"     ?Є0.33084 ?    ,!($"     ?Є0.11327 ?    ,!($"     ?0.34380#l_.l#l.l_#(lt#l( W    D,($"        Wbeta(12) ?    ,!)%"     ?#(l#l(#l_.la#l.l_Ԅ0.06441 ?    ,!)%"     ?Є0.07462 ?    ,!)%"     ?Є0.10712 ?    ,!)%"     ?Є0.11154 ?    ,!)%"     ?Є0.06720 ?    ,!)%"     ?Є0.07791#l_.l#l.l_#(l#l( W    D,)%"        Wbeta(13) ?    ,!*&"     ?#(l#l(#l_.lr#l.l_0.17155 ?    ,!*&"     ?0.31866 ?    ,!*&"     ?0.13316 ?    ,!*&"     ?0.56064 ?    ,!*&"     ?0.20655 ?    ,!*&"     ?0.38706#l_.l#l.l_#(l#l( W    D,*&"        Wbeta(14)#l_.l}#lXX.l_#XXXlX#OXA*XXX ?    ,!+'"     ?#XX*XOXA#lXXXX#l_.XlX`#l.l_Ԅ0.00810 ?    ,!+'"     ?Є0.02466 ?    ,!+'"     ?Є0.00563 ?    ,!+'"     ?Є0.02737 ?    ,!+'"     ?Є0.00672 e    R!+'"     ۅ:-0.02022ۅ:eЄ0.02022#l_.le##e.l_##bXV+'" ۅ:-0.02022    ۅ:     b r2!eTableA9.MinnesotacountiesthatmakeupSouthern   MinnesotaandSouthDakotacountiesthatmakeupEasternSouthDakota.* dd     P P !!,>)@,))@,>)@,D))@+  3 "  C3_FIPS_ = ,!C  C=$4 X$SouthernMinn = ,!C"  C=_FIPS_ = ,!C"  C=E.SouthDakota   ԍ _  ԍCounties  _ T E-C"     CT#e! r2#XXe27011 ; ,!  C  C;$4 X$BigStone ; ,!  C  C;46009 ?  ,!  C  C?Bon_Homme_ S  D,  C     CS27013 ;  ,!~ t C   C;$4 X$BlueEarth ;  ,!~ tC   C;46011 ?   ,!~ tC   C?Brookings S  D,~ tC       CS27015 ;  ,!P FC   C;$4 X$Brown ;  ,!P FC   C;46027 ?   ,!P FC   C?Clay S  D,P FC       CS27019 ;  ,!" C   C;$4 X$Carver ;  ,!" C   C;46029 ?   ,!" C   C?_Codington_ S  D," C       CS27023 ;  ,! C   C;$4 X$_Chippewa_ ;  ,! C   C;46035 ?   ,! C   C?Davison S  D, C       CS27033 ;  ,! C   C;$4 X$Cottonwood ;  ,! C   C;46039 ?   ,! C   C?_Deuel_ S  D, C       CS27037 ;  ,! !C   C;$4 X$Dakota ;  ,! "C   C;46051 ?   ,! #C   C?Grant S  D, $C       CS27039 ;  ,!j` %C   C;$4 X$Dodge ;  ,!j` &C   C;46057 ?   ,!j` 'C   C?_Hamlin_ S  D,j` (C       CS27041 ;  ,!<2 )C   C;$4 X$Douglas ;  ,!<2 *C   C;46061 ?   ,!<2 +C   C?Hanson S  D,<2 ,C       CS27043 ;  ,! -C   C;$4 X$_Faribault_ ;  ,! .C   C;46067 ?   ,! /C   C?Hutchinson S  D, 0C       CS27045 ;  ,! 1C   C;$4 X$Fillmore ;  ,! 2C   C;46077 ?   ,! 3C   C?_Kingsbury_ S  D, 4C       CS27047 ;  ,!5C   C;$4 X$Freeborn ;  ,!6C   C;46079 ?   ,!7C   C?Lake S  D,8C       CS27049 ;  ,!z9C   C;$4 X$_Goodhue_ ;  ,!z:C   C;46083 ?   ,!z;C   C?Lincoln S  D,z<C       CS27051 ;  ,!VL=C   C;$4 X$Grant ;  ,!VL>C   C;46087 ?   ,!VL?C   C?_McCook_ S  D,VL@C       CS27053 ;  ,!(AC   C;$4 X$_Hennepin_ ;  ,!(BC   C;46097 ?   ,!(CC   C?Miner S  D,(DC       CS27055 ;  ,!EC   C;$4 X$Houston ;  ,!FC   C;46099 ?   ,!GC   C?_Minnehaha_ S  D,HC       CS27063 ;  ,!IC   C;$4 X$Jackson ;  ,!JC   C;46101 ?   ,!KC   C?Moody S  D,LC       CS27067 ;  ,!MC   C;$4 X$_Kandiyohi_ ;  ,!NC   C;46111 ?   ,!OC   C?_Sanborn_ S  D,PC       CS27073 ;  ,!pfQC   C;$4 X$LacQui_Parle_ ;  ,!pfRC   C;46125 ?   ,!pfSC   C?Turner S  D,pfTC       CS27079 ;  ,!B8UC   C;$4 X$Le_Sueur_ ;  ,!B8VC   C;46127 ?   ,!B8WC   C?Union S  D,B8XC       CS27081 ;  ,! YC   C;$4 X$Lincoln =   ,! ZC   C=46135 ?    ,! [C    C?_Yankton_ S  D, \C        CS27083 ?   ,!]C   C?$4 X$Lyon 6,!^C    C6 '_C3 C' D  5`C3   CD27085 ?   ,!aC   C?$4 X$_McLeod_ 6,!bC    C6 'cC3 C' D  5dC3   CD27091 ?   ,!eC   C?$4 X$Martin 6,!fC    C6 'gC3 C' D  5hC3   CD27093 ?   ,!\RiC   C?$4 X$Meeker 6,!\RjC    C6 '\RkC3 C' D  5\RlC3   CD27099 ?   ,!.$mC   C?$4 X$Mower 6,!.$nC    C6 '.$oC3 C' D  5.$pC3   CD27101 ?   ,!qC   C?$4 X$Murray 6,!rC    C6 'sC3 C' D  5tC3   CD27103 ?   ,!uC   C?$4 X$_Nicollet_ 6,!vC    C6 'wC3 C' D  5xC3   CD27105 ?   ,! yC   C?$4 X$Nobles 6,! zC    C6 ' {C3 C' D  5 |C3   CD27109 ?   ,!v!l}C   C?$4 X$_Olmsted_ 6,!v!l~C    C6 'v!lC3 C' D  5v!lC3   CD27117 ?   ,!H">C   C?$4 X$_Pipestone_ 6,!H">C    C6 'H">C3 C' D  5H">C3   CD27121 ?   ,!#C   C?$4 X$Pope 6,!#C    C6 '#C3 C' D  5#C3   CD27127 ?   ,!#C   C?$4 X$Redwood 6,!#C    C6 '#C3 C' D  5#C3   CD27129 ?   ,!$ C   C?$4 X$_Renville_ 6,!$ C    C6 '$ C3 C' D  5$ C3   CD27131 ?   ,!%!C   C?$4 X$Rice 6,!%!C    C6 '%!C3 C' D  5%!C3   CD27133 ?   ,!b&X"C   C?$4 X$Rock 6,!b&X"C    C6 'b&X"C3 C' D  5b&X"C3   CD27139 ?   ,!4'*#C   C?$4 X$Scott 6,!4'*#C    C6 '4'*#C3 C' D  54'*#C3   CD27143 ?   ,!(#C   C?$4 X$Sibley 6,!(#C    C6 '(#C3 C' D  5(#C3   CD27145 ?   ,!($C   C?$4 X$Stearns 6,!($C    C6 '($C3 C' D  5($C3   CD27147 ?   ,!)%C   C?$4 X$Steele 6,!)%C    C6 ')%C3 C' D  5)%C3   CD27149 ?   ,!|*r&C   C?$4 X$Stevens 6,!|*r&C    C6 '|*r&C3 C' D  5|*r&C3   CD27151 ?   ,!N+D'C   C?$4 X$Swift 6,!N+D'C    C6 'N+D'C3 C' D  5N+D'C3   CD27155 ?   ,! ,(C   C?$4 X$Traverse 6,! ,(C    C6 ' ,(C3 C' D  5 ,(C3   CD27157 ?   ,!C   C?$4 X$_Wabasha_ 6,!C    C6 'C3 C' D  5C3   CD27161 ?   ,!C   C?$4 X$_Waseca_ 6,!C    C6 'C3 C' D  5C3   CD27165 ?   ,! C   C?$4 X$_Watonwan_ 6,! C    C6 ' C3 C' D  5 C3   CD27169 ?   ,! C   C?$4 X$_Winona_ 6,!C    C6 'C3 C' D  5C3   CD27171 ?   ,!bXC   C?$4 X$Wright 6,!bXC    C6 'bXC3 C' F   5bXC3   CF27173 ?    ,!4*C    C?$4 X$YellowMedicine 6,!4*C     C6 '4*C3 C'-#!4*C3   1 -#eXX#XXe      TRP$'3 Letter LandscapeX3' Letter'3 Letter Landscape3'TTableA10.SingleCropCoefficientsforNorthDakota#eXXC#XXeOXA*XXX* d2d>)@>))@>)@>D))@D--, , ,F , ,; ,P ,; , , , ,' , , +  5    "  5?+ 4 <DL!X?#O(3*XOXAE#O>%03O(#(0O>%E#O>%0( C    0!3      C  #O(30O>%gH#O>%03O(#(0O>%H#O>%0(NorthDakota Z    G/#         Z#O(30O>%=I#O>%03O(#(0O>%I#O>%0( C    0!3     CCorn F    3$"     FSoybeans F   3$ "     FSpringWheat F    3$ "    F_Canola_ F   3$ "     FSunflower F    3$ "    FBarley Z    G/ "        Z ?    ,! 3     ?#O(30O>%*J#O>%03O(#(0O>%lJ#l(Option=   no ?    ,!` V"     ?Option=yes ?    ,!` V"     ?#l_.l5M#l.l_#(lwM#l(Option=   no ?    ,!` V"     ?Option=yes ?    ,!` V"     ?#l_.laN#l.l_#(lN#l(Option=   no ?    ,!` V"     ?Option=yes ?    ,!` V"     ?#l_.lO#l.l_#(lO#l(Option=   no ?    ,!` V"     ?Option=yes ?    ,!` V"     ?#l_.lP#l.l_#(lP#l(Option=   no ?    ,!` V "     ?Option=yes ?    ,!` V""     ?#l_.lQ#l.l_#(l'R#l(Option=  # no ?    ,!` V$"     ?Option=yes W    D,` V&"        Wbeta(0) ?    ,!J @'     ?#(lSS#l(#l_.lS#l.l_Ԅ0.21513 ?    ,!J @("     ?Є0.23732 ?    ,!J @)"     ?Є0.23300 ?    ,!J @*"     ?Є0.22804 ?    ,!J @+"     ?Є0.21139 ?    ,!J @,"     ?Є0.26570 ?    ,!J @-"     ?Є0.11674 ?    ,!J @."     ?Є0.12366 ?    ,!J @/"     ?Є0.14527 ?    ,!J @0"     ?Є0.14171 ?    ,!J @1"     ?Є0.15972 ?    ,!J @2"     ?Є0.17375#l_.lT#l.l_#(lT#O>%0( W    D,J @3"        Wbeta(1) ?    ,!4 *4     ?#(0O>%vX#l(#l_.l4X#l.l_1.19244 ?    ,!4 *5"     ?1.28396 ?    ,!4 *6"     ?1.17269 ?    ,!4 *7"     ?1.35975 ?    ,!4 *8"     ?1.06216 ?    ,!4 *9"     ?1.18708 ?    ,!4 *:"     ?0.87331 ?    ,!4 *;"     ?0.93147 ?    ,!4 *<"     ?1.01963 ?    ,!4 *="     ?1.21031 ?    ,!4 *>"     ?1.19731 ?    ,!4 *?"     ?1.29198#l_.lY#l.l_#(lUY#O>%0( W    D,4 *@"        Wbeta(2) ?    ,!  A     ?#(0O>%$]#l(#l_.l\#l.l_0.09248 ?    ,!  B"     ?0.02174 ?    ,!  C"     ?0.13426 ?    ,!  D"     ?0.10208 ?    ,!  E"     ?0.05716 ?    ,!  F"     ?Є0.05504 ?    ,!  G"     ?0.36130 ?    ,!  H"     ?0.32848 ?    ,!  I"     ?0.13267 ?    ,!  J"     ?0.10672 ?    ,!  K"     ?Є0.10745 ?    ,!  L"     ?Є0.19591#l_.lE^#l.l_#(l^#O>%0( W    D,  M"        Wbeta(3) ?    ,! N     ?#(0O>%a#l(#l_.la#l.l_0.35187 ?    ,! O"     ?0.38620 ?    ,! P"     ?0.28580 ?    ,! Q"     ?0.29324 ?    ,! R"     ?0.34137 ?    ,! S"     ?0.45991 ?    ,! T"     ?0.19218 ?    ,! U"     ?0.19505 ?    ,! V"     ?0.22325 ?    ,! W"     ?0.25138 ?    ,! X"     ?0.19871 ?    ,! Y"     ?0.20691#l_.lb#l.l_#(lb#O>%0( W    D, Z"        Wbeta(4) ?    ,! [     ?#(0O>%f#l(#l_.lAf#l.l_0.00673 ?    ,! \"     ?0.00854 ?    ,! ]"     ?0.08557 ?    ,! ^"     ?0.08015 ?    ,! _"     ?Є0.00971 ?    ,! `"     ?Є0.05929 ?    ,! a"     ?0.09799 ?    ,! b"     ?0.11942 ?    ,! c"     ?0.06927 ?    ,! d"     ?0.03275 ?    ,! e"     ?0.08492 ?    ,! f"     ?0.10150#l_.lg#l.l_#(lbg#O>%0( W    D, g"        Wbeta(5) ?    ,! h     ?#(0O>%3k#l(#l_.lj#l.l_0.01335 ?    ,! i"     ?0.01124 ?    ,! j"     ?0.08236 ?    ,! k"     ?0.06703 ?    ,! l"     ?0.03279 ?    ,! m"     ?0.02836 ?    ,! n"     ?Є0.01715 ?    ,! o"     ?Є0.01852 ?    ,! p"     ?0.00502 ?    ,! q"     ?Є0.00465 ?    ,! r"     ?0.01562 ?    ,! s"     ?0.01920#l_.lTl#l.l_#(ll#O>%0( W    D, t"        Wbeta(6) ?    ,! u     ?#(0O>%o#l(#l_.lo#l.l_0.00773 ?    ,! v"     ?0.01059 ?    ,! w"     ?Є0.00700 ?    ,! x"     ?0.00131 ?    ,! y"     ?0.00317 ?    ,! z"     ?0.00616 ?    ,! {"     ?0.01901 ?    ,! |"     ?0.02324 ?    ,! }"     ?0.01172 ?    ,! ~"     ?0.01404 ?    ,! "     ?0.00410 ?    ,! "     ?0.00580#l_.lq#l.l_#(lp#O>%0( W    D, "        Wbeta(7) ?    ,!      ?#(0O>%t#l(#l_.lQt#l.l_Ԅ0.07962 ?    ,! "     ?Є0.08878 ?    ,! "     ?Є0.03268 ?    ,! "     ?Є0.35424 ?    ,! "     ?Є0.18472 ?    ,! "     ?Є0.16935 ?    ,! "     ?Є0.08567 ?    ,! "     ?Є0.12085 ?    ,! "     ?Є0.10352 ?    ,! "     ?Є0.50729 ?    ,! "     ?Є0.08262 ?    ,! "     ?Є0.12138#l_.lu#l.l_#(lru#O>%0( W    D, "        Wbeta(8) ?    ,!     ?#(0O>%My#l(#l_.l y#l.l_0.22169 ?    ,!"     ?0.15085 ?    ,!"     ?0.19315 ?    ,!"     ?1.02786 ?    ,!"     ?0.25085 ?    ,!"     ?0.15286 ?    ,!"     ?0.23418 ?    ,!"     ?0.16264 ?    ,!"     ?0.27406 ?    ,!"     ?1.15750 ?    ,!"     ?0.23761 ?    ,!"     ?0.14605#l_.lnz#l.l_#(l,z#O>%0( W    D,"        Wbeta(9) ?    ,!z     ?#(0O>%}#l(#l_.l}#l.l_Ԅ0.36421 ?    ,!z"     ?Є0.46038 ?    ,!z"     ?Є0.35889 ?    ,!z"     ?Є0.52127 ?    ,!z"     ?Є0.13502 ?    ,!z"     ?Є0.27016 ?    ,!z"     ?Є0.23404 ?    ,!z"     ?Є0.34138 ?    ,!z"     ?Є0.22048 ?    ,!z"     ?Є0.37219 ?    ,!z"     ?Є0.21455 ?    ,!z"     ?Є0.31389#l_.l#l.l_#(l~#O>%0( W    D,z"        Wbeta(10) ?    ,!nd     ?#(0O>%#l(#l_.ls#l.l_0.05818 ?    ,!nd"     ?0.07543 ?    ,!nd"     ?0.07330 ?    ,!nd"     ?0.08087 ?    ,!nd"     ?0.03950 ?    ,!nd"     ?0.06543 ?    ,!nd"     ?0.29411 ?    ,!nd"     ?0.35016 ?    ,!nd"     ?0.17347 ?    ,!nd"     ?0.16242 ?    ,!nd"     ?0.03589 ?    ,!nd"     ?0.05825#l_.l׃#l.l_#(l#O>%0( W    D,nd"        Wbeta(11) ?    ,!XN     ?#(0O>%d#l(#l_.l"#l.l_Ԅ0.24464 ?    ,!XN"     ?0.11580 ?    ,!XN"     ?Є0.25849 ?    ,!XN"     ?Є0.33084 ?    ,!XN"     ?Є0.11327 ?    ,!XN"     ?0.34380 ?    ,!XN"     ?Є0.27817 ?    ,!XN"     ?0.12366 ?    ,!XN"     ?Є0.26200 ?    ,!XN"     ?Є0.33023 ?    ,!XN"     ?Є0.25983 ?    ,!XN"     ?0.17512#l_.l#l.l_#(lD#O>%0( W    D,XN"        Wbeta(12) ?    ,!B8     ?#(0O>%#l(#l_.lً#l.l_Ԅ0.06441 ?    ,!B8"     ?Є0.07462 ?    ,!B8"     ?Є0.10712 ?    ,!B8"     ?Є0.11154 ?    ,!B8"     ?Є0.06720 ?    ,!B8"     ?Є0.07791 ?    ,!B8"     ?Є0.07712 ?    ,!B8"     ?Є0.09348 ?    ,!B8"     ?Є0.06831 ?    ,!B8"     ?Є0.06282 ?    ,!B8"     ?Є0.04930 ?    ,!B8"     ?Є0.06195#l_.l=#l.l_#(l#O>%0( W    D,B8"        Wbeta(13) ?    ,!,"     ?#(0O>%֐#l(#l_.l#l.l_0.17155 ?    ,!,""     ?0.31866 ?    ,!,""     ?0.13316 ?    ,!,""     ?0.56064 ?    ,!,""     ?0.20655 ?    ,!,""     ?0.38706 ?    ,!,""     ?0.17917 ?    ,!,""     ?0.35282 ?    ,!,""     ?0.18721 ?    ,!,""     ?0.67643 ?    ,!,""     ?0.15142 ?    ,!,""     ?0.32395#l_.l#l.l_#(l#O>%0( W    D,,""        Wbeta(14) ?    ,!      ?#(0O>%#l(#l_.lC#l.l_Ԅ0.00810 ?    ,! "     ?Є0.02466 ?    ,! "     ?Є0.00563 ?    ,! "     ?Є0.02737 ?    ,! "     ?Є0.00672 ?    ,! "     ?Є0.02022 ?    ,! "     ?Є0.01240 ?    ,! "     ?Є0.03229 ?    ,! "     ?Є0.01360 ?    ,! "     ?Є0.02365 ?    ,! "     ?0.00097 e    R! "     "-0.00964"eЄ0.00964#l_.l##e.l_e#bXV " "-0.00964    "     bXXe#eXX뫚#