EJEMPLOS DEL MÉTODO GRÁFICO
17410Ensayo28 de Febrero de 2022
317 Palabras (2 Páginas)124 Visitas
EJEMPLOS DEL MÉTODO GRÁFICO
1.
Max/Min Z = 3X1 + 2X2 s.a. X1 + X2 ≤ 6 2X1 –X2 ≥ 0 X1 ≥ 2 X1 ≥ 0; X2≥ 0 | Max/Min Z = 3X1 + 2X2 s.a. X1 + X2 ≤ 6 ------ (1) 2X1 –X2 ≥ 0 ------ (2) X1 ≥ 2 ------ (3) X1 ≥ 0; X2≥ 0 |
Ecuación | X1 | X2 | Coordenadas |
X1 + X2 = 6 | 0 6 | 6 0 | (0,6) (6,0) |
2X1 –X2 = 0 | 1 1/2 | 2 1 | (1,2) (1/2,1) |
X1 = 2 | 2 | 0 | (2,0) |
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[pic 36]
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VÉRTICE | X1 | X2 | Z = 3X1 + 2X2[pic 37] |
B | 6 | 0 | 18 MAX |
C | 2 | 4 | 14 |
D | 2 | 0 | 6 MIN |
2.
Max Z = 6X1 + 8X2 s.a. 4X1 + 12X2 ≤ 36 8X1 – 2X2 ≤ 16 X1 ≥ 0; X2≥ 0 | Max Z = 6X1 + 8X2 s.a. 4X1 + 12X2 ≤ 36 ------ (1) 8X1 – 2X2 ≤ 16 ------ (2) X1 ≥ 0; X2 ≥ 0 |
Ecuación | X1 | X2 | Coordenadas |
4X1 + 12X2 = 36 | 0 9 | 3 0 | (0,3) (9,0) |
8X1 – 2X2 = 16 | 0 2 | -8 0 | (0,-8) (2,0) |
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