The Stone Company produces three sizesof window fans: small, medium and large. The operations manager hasformulated the following LP model for fan production:
Maximize Profit Z
Z = 6×1 + 8×2 + 5×3 (profit)
Subject to
3×1 + 4×2 + 5×3 ? 160 hours(Labor)
1×1 + 2×2 + 3×3 ? 100 pounds(Metal)
2×1 + 2×2 + 2×3 ? 110 pounds(Plastic)
×3? 18 (Large Fan)
×1, ×2, ×3 ? 0
Briefly explain or define each of these parts of the model (1point each):
a. ×1, ×2 and ×3.
b. The 6 in the objective function.
c. The product of the 8 and ×2 in the objectivefunction.
d. The terms Labor, Metal, and Plastic.
e. The product of 5 and ×3 in the labor constraint.
f. The product of the 2 and ×2 in the metal constraint.
g. The110 hours in the Right Hand Side (RHS) of the plasticconstraint.
h. ×3 ? 18.
i. ×1, ×2, ×3 ? 0.
j. What two key questions can be answered using this model?A8
