Ejercicios De Investigación De Operaciones

| |Camión |Auto |Dias disponibles |
|A |7 |2 |300 |
|B |3 |3|270 |
|Beneficios |6,000,000 |3,000,000 | |


Problema 1.-

|Max Z = 6,000,000x1+3,000,000x2 |
|S.a 7x1 + 2x2 ≤ 300|
| 3x1 + 3x2 ≤ 270 |
| x1;x2 ≥ 0 |






|Z - 6,000,000x1- 3,000,000x2 = 0 || 7x1 + 2x2 + S1 = 300 |
| 3x1 + 3x2 + S2 = 270 |



|BASE |Z |x1 | x2 |
|A|0.5 |0.2 |9,000 |
|B |1 |1 |30,000 |
|Costo Prod. |1 |2 ||


Problema 2.-

|Min Z = x1 + 2x2 |
|S.a 0.5x1 + 0.2x2 ≤ 9000 |
| x1 + x2 ≥ 30,000 |
|x1 ; x2 ≥0 |






|A2 = 30000 - x1 - x2 + S2 |




|Z = x1 + 2x2 + MA2 |
| 0.5x1 + 0.2x2 + S1 = 9000 |
|x1 + x2 + A2 - S2 =30000 |

|Z = x1 + 2x2 + M (30000 - x1 - x2 + S2) |
|Z= x1 + 2x2 + 30000M - Mx1 - Mx2 + MS2 |
|Z + (M - 1)x1 + (M - 2)x2 - MS2 = 30000M|










|BASE |
|S.a. x1 + 5 x2 ≤ 150 |
| x1 + 5 x2 ≤ 90|
| x1 ; x2 ≥ 0 |

| |T1 |T2 | |
|A |1 kg...