PROBLEMAS DE INVESTIGACIN DE OPERACIONES I1. Sea el siguiente problema:Zmax = 2x1 + 3x2 + x4 x3 2x5S.A. x1 x2 + x4 x5 100 x2 x3 + 2x4 20 x3 x4 50x1, x2, x3, x4, x5 0SolucinResolviendo el problema mediante WinQSB Linear and Integer Programming:

Del programa, se resuelve que:x1 = 170x2 = 70Zmax = 2(170) + 3(70) + 0 50 2(0)Zmax = 500 (Rpta. a)

x3 = 50x4 = 0x5 = 0

2. Sea: Zmin = 11x1 + 44x2S.A. 2000x1 + 4000x2 600050x1 + 200x2 200x1, x2 0SolucinResolviendo el problema mediante WinQSB Linear and Integer Programming:

Del programa, se resuelve que:Zmin = 11(2) + 44(0.5)Zmin = 44 (Rpta. a)

x1 = 2x2 = 0.5

3. Sea el siguiente problema:Zmax = 5x1 3x2 + x3S.A. x1 + x2 10-x2 + x3 6x1 x3 2x1, x2, x3 0

SolucinResolviendo el problema mediante WinQSB Linear and Integer Programming:

Del programa, se resuelve que:x1 = 9Zmax = 5(9) 3(1) + 7Zmax = 49 (Rpta. c)

x2 = 1x3 = 7

4. Sea el siguiente problema:Zmax = 3x1 + 2x2 + x3S.A. x1 + 2x2 + x3 10x1 + x2 + 2x3 92x1 + 2x3 12x1, x2, x3 0SolucinResolviendo el problema mediante WinQSB Linear and Integer Programming:

Del programa, se resuelve que:x1 = 6Zmax = 3(6) + 2(2) + 0Zmax = 22 (Rpta. b)

x2 = 2x3 = 0

5. Sea al siguiente problema:Zmax = 4x1 2x2 + 3x3S.A.x1 x2 x3 8x2 x3 4x1 + x3 12x1, x2, x3 0

SolucinResolviendo el problema mediante WinQSB Linear and Integer Programming:

Del programa, se resuelve que:x1 = 10Zmax = 4(10) 2(0) + 3(2)Zmax = 46 (Rpta. b)

x2 = 0x3 = 2

6. Sea el siguiente problema:Zmax = 3x1 2x2 + x3S.A. x1 x2 x3 2x2 x3 4x1 + x3 6x1, x2, x3 0

SolucinResolviendo el problema mediante WinQSB Linear and Integer Programming:

Del programa, se resuelve que:x1 = 4Zmax = 3(4) 2(0) + 2Zmax = 14 (Rpta. b)

x2 = 0x3 = 2

7. Sea el siguiente problema:Zmax = x1 x2 + x3S.A. 2x1 x2 4x1 x3 6x2 + x3 8x1, x2, x3 0 SolucinResolviendo el problema mediante WinQSB Linear and Integer Programming:

Del programa, se resuelve que:x1 = 2Zmax = 2 0 + 8Zmax = 10 (Rpta. a)

x2 = 0x3 = 8