Answer:
z (min) = 150090.8 ( monetary units ) ( $ )
x₁ = 2000 x₄ = 0 x₂ = 3382 x₅ = 368 x₃ = 0 x₆ = 1700
Step-by-step explanation:
wrenches produced in-house ( W111 = x₁ W222 = x₂ W333 = x₃ )
x₁ x₂ and x₃
wrenches produced outside (W111 = x₄ W222 = x₅ W333 = x₆ )
x₄ x₅ and x₆
Objective function:
z = 17*x₁ + 20.40*x₄ + 19*x₂ + 21.85*x₅ + 23*x₃ + 25.76*x₆ to minimize
First constraint: Manufacturing hours: 16500
2.5*x₁ + 3.4*x₂ + 3.8*x₃ ≤ 16500
Second constraint: Inspection hours : 1600
0.25*x₁ + 0.3*x₂ + 0.45*x₃ ≤ 1600
Three demands constraint:
x₁ + x₄ = 2000
x₂ + x₅ = 3750
x₃ + x₆ = 1700
x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 x₄ ≥ 0 x₅ ≥ 0 x₆ ≥ 0 all integers
After 6 iterations with on-line solver the solution is:
z (min) = 150090.8 ( monetary units ) ( $ )
x₁ = 2000 x₄ = 0 x₂ = 3382 x₅ = 368 x₃ = 0 x₆ = 1700
