/* A formulação por metas */
Min: Z;
/* Sujeito a */
/* Restrições de Área */
X1: X1P66 + X1P67 + X1P68 + X1P76 + X1P77 + X1P78 + X1P86 + X1P87 + X1P88 <= 147.90;
X2: X2P66 + X2P67 + X2P68 + X2P76 + X2P77 + X2P78 + X2P86 + X2P87 + X2P88 <= 72.23;
X3: X3P66 + X3P67 + X3P68 + X3P76 + X3P77 + X3P78 + X3P86 + X3P87 + X3P88 <= 54.11;
X4: X4P66 + X4P67 + X4P68 + X4P76 + X4P77 + X4P78 + X4P86 + X4P87 + X4P88 <= 77.70;
X5: X5P66 + X5P67 + X5P68 + X5P76 + X5P77 + X5P78 + X5P86 + X5P87 + X5P88 <= 71.96;
X6: X6P66 + X6P67 + X6P68 + X6P76 + X6P77 + X6P78 + X6P86 + X6P87 + X6P88 <= 71.97;
/* -------------------------------- */
/* Endógena para a soma dos desvios */
/* -------------------------------- */
Pa01 + Pb01 + Pa02 + Pb02 + Pa03 + Pb03 + Pa04 + Pb04 + Pa05 + Pb05 + Pa06 + Pb06 +
Pa07 + Pb07 + Pa08 + Pb08 + Pa09 + Pb09 + Pa10 + Pb10 + Pa11 + Pb11 + Pa12 + Pb12 +
Pa13 + Pb13 + Pa14 + Pb14 + Pa15 + Pb15 + Pa16 + Pb16 + Pa17 + Pb17 + Pa18 + Pb18 +
Pa19 + Pb19 + Pa20 + Pb20 + Pa21 + Pb21 + VTPa + VTPb - Z = 0;
/* -------------------------------------------------- */
/* Desvios e meta para o valor total do projeto (VTP) */
/* -------------------------------------------------- */
VTP - VTPa + VTPb = 4000000;
/* Variável contábil (endógena) para cálculo do valor total do projeto (VTP) */
9296.61 X1P66 + 9229.09 X1P67 + 9042.78 X1P68 + 9322.9 X1P76 + 9267.23 X1P77 +
9068.17 X1P78 + 9254.7 X1P86 + 9199.29 X1P87 + 9008.16 X1P88 + 9798.41 X2P66 +
9692.53 X2P67 + 9420.77 X2P68 + 9841.57 X2P76 + 9722.94 X2P77 + 9454.24 X2P78 +
9776.64 X2P86 + 9664.42 X2P87 + 9404.26 X2P88 + 6121.57 X3P66 + 6102.85 X3P67 +
6013.65 X3P68 + 6151.44 X3P76 + 6133.31 X3P77 + 5929.91 X3P78 + 5932.28 X3P86 +
5927.24 X3P87 + 5877.21 X3P88 + 4202.39 X4P66 + 4253.65 X4P67 + 4248.71 X4P68 +
4297.25 X4P76 + 4342.53 X4P77 + 4336.44 X4P78 + 4313.26 X4P86 + 4354.55 X4P87 +
4348.75 X4P88 + 5899.25 X5P66 + 5853.77 X5P67 + 5714.45 X5P68 + 5890.00 X5P76 +
5846.37 X5P77 + 5710.43 X5P78 + 5820.09 X5P86 + 5782.18 X5P87 + 5653.15 X5P88 +
5482.86 X6P66 + 5510.78 X6P67 + 5388.40 X6P68 + 5591.81 X6P76 + 5579.43 X6P77 +
5454.90 X6P78 + 5597.56 X6P86 + 5585.04 X6P87 + 5462.32 X6P88 - VTP = 0;
/* ------------------------------------- */
/* Desvios e metas para a produção anual */
/* ------------------------------------- */
P01 - Pa01 + Pb01 = 25000;
P02 - Pa02 + Pb02 = 25000;
P03 - Pa03 + Pb03 = 25000;
P04 - Pa04 + Pb04 = 25000;
P05 - Pa05 + Pb05 = 25000;
P06 - Pa06 + Pb06 = 25000;
P07 - Pa07 + Pb07 = 25000;
P08 - Pa08 + Pb08 = 25000;
P09 - Pa09 + Pb09 = 25000;
P10 - Pa10 + Pb10 = 25000;
P11 - Pa11 + Pb11 = 25000;
P12 - Pa12 + Pb12 = 25000;
P13 - Pa13 + Pb13 = 25000;
P14 - Pa14 + Pb14 = 25000;
P15 - Pa15 + Pb15 = 25000;
P16 - Pa16 + Pb16 = 25000;
P17 - Pa17 + Pb17 = 25000;
P18 - Pa18 + Pb18 = 25000;
P19 - Pa19 + Pb19 = 25000;
P20 - Pa20 + Pb20 = 25000;
P21 - Pa21 + Pb21 = 25000;
/* Variáveis contábeis (endógenas) para cálculo dos volumes anuais */
Ano01: 324 X1P66 + 324 X1P76 + 324 X1P86 - P01 = 0;
Ano02: 378 X1P67 + 378 X1P77 + 378 X1P87 + 366 X2P66 + 366 X2P76 +
366 X2P86 + 179 X4P66 + 179 X4P67 + 179 X4P68 - P02 = 0;
Ano03: 425 X1P68 + 425 X1P78 + 425 X1P88 + 423 X2P67 + 423 X2P77 +
423 X2P87 + 214 X4P76 + 214 X4P77 + 214 X4P78 + 235 X6P66 +
235 X6P76 + 235 X6P86 - P03 = 0;
Ano04: 471 X2P68 + 471 X2P78 + 471 X2P88 + 246 X4P86 + 246 X4P87 +
246 X4P88 + 253 X5P66 + 253 X5P76 + 253 X5P86 + 274 X6P67 +
274 X6P77 + 274 X6P87 - P04 = 0;
Ano05: 295 X5P67 + 295 X5P77 + 295 X5P87 + 306 X6P68 + 306 X6P78 +
306 X6P88 - P05 = 0;
Ano06: 306 X3P66 + 306 X3P67 + 306 X3P68 + 331 X5P68 + 331 X5P78 +
331 X5P88 - P06 = 0;
Ano07: 355 X1P66 + 362 X3P76 + 362 X3P77 + 362 X3P78 - P07 = 0;
Ano08: 355 X1P67 + 422 X1P76 + 380 X2P66 + 410 X3P86 + 410 X3P87 +
410 X3P88 + 163 X4P66 - P08 = 0;
Ano09: 355 X1P68 + 422 X1P77 + 479 X1P86 + 380 X2P67 + 455 X2P76 +
192 X4P67 + 163 X4P76 + 262 X6P66 - P09 = 0;
Ano10: 422 X1P78 + 479 X1P87 + 380 X2P68 + 455 X2P77 + 520 X2P86 +
217 X4P68 + 192 X4P77 + 163 X4P86 + 287 X5P66 + 262 X6P67 +
319 X6P76 - P10 = 0;
Ano11: 479 X1P88 + 455 X2P78 + 520 X2P87 + 217 X4P78 + 192 X4P87 +
287 X5P67 + 337 X5P76 + 262 X6P68 + 319 X6P77 + 369 X6P86 - P11 = 0;
Ano12: 520 X2P88 + 293 X3P66 + 217 X4P88 + 287 X5P68 + 337 X5P77 +
379 X5P86 + 319 X6P78 + 369 X6P87 - P12 = 0;
Ano13: 324 X1P66 + 338 X3P67 + 293 X3P76 + 337 X5P78 + 379 X5P87 +
369 X6P88 - P13 = 0;
Ano14: 324 X1P76 + 366 X2P66 + 375 X3P68 + 338 X3P77 + 293 X3P86 +
179 X4P66 + 379 X5P88 - P14 = 0;
Ano15: 378 X1P67 + 324 X1P86 + 366 X2P76 + 375 X3P78 + 338 X3P87 +
179 X4P67 + 235 X6P66 - P15 = 0;
Ano16: 378 X1P77 + 423 X2P67 + 366 X2P86 + 375 X3P88 + 179 X4P68 +
214 X4P76 + 253 X5P66 + 235 X6P76 - P16 = 0;
Ano17: 425 X1P68 + 378 X1P87 + 423 X2P77 + 214 X4P77 + 253 X5P76 +
274 X6P67 + 235 X6P86 - P17 = 0;
Ano18: 425 X1P78 + 471 X2P68 + 423 X2P87 + 306 X3P66 + 214 X4P78 +
246 X4P86 + 295 X5P67 + 253 X5P86 + 274 X6P77 - P18 = 0;
Ano19: 355 X1P66 + 425 X1P88 + 471 X2P78 + 306 X3P67 + 246 X4P87 +
295 X5P77 + 306 X6P68 + 274 X6P87 - P19 = 0;
Ano20: 380 X2P66 + 471 X2P88 + 306 X3P68 + 362 X3P76 + 163 X4P66 +
246 X4P88 + 331 X5P68 + 295 X5P87 + 306 X6P78 - P20 = 0;
Ano21: 355 X1P67 + 422 X1P76 + 362 X3P77 + 331 X5P78 + 262 X6P66 +
306 X6P88 - P21 = 0;
/* Variável contábil do estoque de madeira em pé no ano 21 */
59.51 X1P66 + 198.66 X1P68 + 279.19 X1P77 + 119.57 X1P78 + 354.6 X1P86 +
198.66 X1P87 + 52.43 X1P88 + 17.4 X2P66 + 296.62 X2P67 + 124.62 X2P68 +
379.81 X2P76 + 209.16 X2P77 + 54.03 X2P78 + 296.62 X2P86 + 124.62 X2P87 +
10.58 X2P88 + 116.94 X3P66 + 57.27 X3P67 + 13.87 X3P68 + 13.87 X3P76 +
305.86 X3P78 + 362.42 X3P86 + 305.86 X3P87 + 241.52 X3P88 + 8.43 X4P66 +
163.03 X4P67 + 131.27 X4P68 + 131.27 X4P76 + 97.45 X4P77 + 63.37 X4P78 +
63.37 X4P86 + 32.18 X4P87 + 8.84 X4P88 + 230.05 X5P66 + 106.35 X5P67 +
11.85 X5P68 + 168.59 X5P76 + 50.57 X5P77 + 106.35 X5P86 + 11.85 X5P87 +
294.91 X5P88 + 138.58 X6P67 + 33.2 X6P68 + 201.17 X6P76 + 80.05 X6P77 +
6.02 X6P78 + 138.58 X6P86 + 33.2 X6P87 - Estoque21 = 0;
/* Variáveis contábeis para área por classe de idade no ano 21 */
+ X1P67 + X1P76 + X3P77 + X5P78 + X6P66 + X6P88 - ClasIdade0 = 0;
+ X2P66 + X2P88 + X3P68 + X3P76 + X4P66 + X4P88 + X5P68 + X5P87 + X6P78 - ClasIdade1 = 0;
+ X1P66 + X1P88 + X2P78 + X3P67 + X4P87 + X5P77 + X6P68 + X6P87 - ClasIdade2 = 0;
+ X1P78 + X2P68 + X2P87 + X3P66 + X4P77 + X4P86 + X5P67 + X5P86 + X6P77 - ClasIdade3 = 0;
+ X1P68 + X1P87 + X2P77 + X4P77 + X5P76 + X6P67 + X6P86 - ClasIdade4 = 0;
+ X1P77 + X2P67 + X2P86 + X3P88 + X4P68 + X4P76 + X5P66 + X6P76 - ClasIdade5 = 0;
+ X1P86 + X2P76 + X3P78 + X3P87 + X4P67 - ClasIdade6 = 0;
+ X3P86 + X5P88 - ClasIdade7 = 0;
/* Equilíbrio de área entre classes de idade - "des"comente para ativar
- ClasIdade0 + ClasIdade1 >= 0;
- ClasIdade1 + ClasIdade2 >= 0;
- ClasIdade2 + ClasIdade3 >= 0;
- ClasIdade3 + ClasIdade4 >= 0;
- ClasIdade4 + ClasIdade5 >= 0;
- ClasIdade5 + ClasIdade6 >= 0; */