METODO SIMPLEX CON RESTRICCIONES
Enviado por jaime muñoz • 21 de Febrero de 2020 • Tarea • 1.079 Palabras (5 Páginas) • 272 Visitas
MÉTODO SIMPLEX: RESTRICCIONES (REQUERIMIENTOS)
1. F.O. Max Zx = 8X1 + 4X2 + 3X3
2 X1+ 4 X2+ 5 X3 ≤ 55
5 X1+ 3 X2+ 3 X3 ≤ 55
2 X1+ 4 X2+ 4 X3 ≥ 41 X1, X2, X3 ≥ 0
2. F.O. Max Zx = 4X1 + 3X2 + 7X3
4 X1 – 3 X2 + 9 X3 ≤ 67
2 X1 + 4 X2 + 14 X3 ≥ 89
3 X1 + 3 X2 + 7 X3 ≤ 49 X1, X2, X3 ≥ 0
3. F.O. Max Zx = 5X1 + 8X2 + 13X3
8 X1 + 4 X2 - 5 X3 ≤ 51
4 X1 + 11X2 + 5 X3 ≥ 50
2 X1 + 8 X2 + 5 X3 ≤ 53 X1, X2, X3 ≥ 0
4. F.O. Max Zx = 9X1 + 2X2 + 4X3
10 X1 + 7 X2 + 5 X3 ≤ 87
7 X1 +13 X2 + 9 X3 ≥ 73
9 X1 + 4 X2 + 7 X3 ≤ 64 X1, X2, X3 ≥ 0
5. F.O. Max Zx = 8X1 + 14X2 + 23X3
3 X1 + 3 X2 + 3 X3 ≥ 50
4 X1 + 8 X2 + 4 X3 ≤ 70
6 X1 + 2 X2 + 2 X3 ≤ 68 X1, X2, X3 ≥ 0
6. F.O. Max Zx = 2000X1 + 4000X2 + 8000X3
0,4 X1 + 0,7X2 + 4,3X3 ≥ 43
0,3 X1 + 3,5X2 + 0,9X3 ≤ 48
0,8 X1 + 0,2X2 + 2.4X3 ≤ 42 X1, X2, X3 ≥ 0
7. F.O. Max Zx = 4300X1 + 5600X2 + 7150X3
2,9 X1 + 0,3 X2 + 0,5 X3 ≥ 43
1,5 X1 + 1,4 X2 + 2,5 X3 ≤ 48
1,7 X1 + 1,5 X2 + 2,1 X3 ≤ 42 X1, X2, X3 ≥ 0
8. F.O. Max Zx = 6300X1 + 3400X2 + 5200X3
3,4 X1 + 3,2 X2 + 1,9 X3 ≥ 35
1,8 X1 + 1,9 X2 + 2,9 X3 ≤ 49
2,4 X1 + 1,7 X2 + 2,4 X3 ≤ 48 X1, X2, X3 ≥ 0
9. F.O. Max Zx = 4100X1 + 2870X2 + 5100X3
3,3 X1 + 4,2 X2 + 0,4 X3 ≥ 38
1,9 X1 + 1,1 X2 + 2,3 X3 ≤ 34
2,8 X1 + 1,9 X2 + 2,8 X3 ≤ 33 X1, X2, X3 ≥ 0
10. F.O. Max Zx = 2300X1 + 3450X2 + 4750X3
0,8 X1 + 0,7 X2 + 0,4 X3 ≥ 23
1,3 X1 + 2,3 X2 + 3,1 X3 ≤ 41
1,3 X1 + 1,2 X2 + 2,1 X3 ≤ 38 X1, X2, X3 ≥ 0
11. F.O. Max Zx = 8X1 + 6X2 + 4X3 + 9X4
4 X1 + 7 X2 + X3 + 5 X4 ≤ 81 5 X1 + 9 X2 + 4 X3 + 7 X4 ≤ 72 2 X1 + 4 X2 + 5 X3 + 7 X4 ≤ 85 4 X1 + 4 X2 + 7 X3 + 6 X4 ≥ 88 X1, X2, X3, X4 ≥ 0
12. F.O. Max Zx = 7X1 + 4X2 + 8X3 + 10X4
4 X1 + 4 X2 + 4 X3 + 4 X4 ≤ 16 3 X1 + 3 X2 + 3 X3 + 3 X4 ≤ 19 2 X1 + 8 X2 + 9 X3 + 12 X4 ≤ 25 4 X1 + 5 X2 + 9 X3 + 2 X4 ≥ 18 X1, X2, X3, X4 ≥ 0
13. F.O. Max Zx = 8X1 + 3X2 + 7X3 + 9X4
14 X1 + 17 X2 + 19 X3 + 12 X4 ≤ 129 18 X1 + 14 X2 + 12 X3 + 15 X4 ≤ 110 18 X1 + 13 X2 + 14 X3 + 11 X4 ≤ 121 13 X1 + 17 X2 + 12 X3 + 14 X4 ≥ 99 X1, X2, X3, X4 ≥ 0
14. F.O. Max Zx = 18X1 + 22X2 + 27X3 + 22X4
13 X1 + 14 X2 + 17 X3 + 17 X4 ≤ 108 12 X1 + 11 X2 + 14 X3 + 11 X4 ≤ 114 11 X1 + 17 X2 + 13 X3 + 12 X4 ≤ 118 12 X1 + 14 X2 + 19 X3 + 21 X4 ≥ 92 X1, X2, X3, X4 ≥ 0
15. F.O. Max Zx = 21X1 + 24X2 + 33X3 + 31X4
21 X1 + 22 X2 + 27 X3 + 23 X4 ≤ 141 23 X1 + 22 X2 + 21 X3 + 19 X4 ≤ 135 21 X1 + 24 X2 + 21 X3 + 20 X4 ≤ 142 22 X1 + 23 X2 + 24 X3 + 29 X4 ≥ 112 X1, X2, X3, X4 ≥ 0
16. F.O. Max Zx = 2000X1 + 2100X2 + 2400X3 + 2300X4
0,4 X1 + 0,3 X2 + 0,7 X3 + 1,4 X4 ≤ 98 0,2
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