Question

In: Advanced Math

The Stone Company produces three sizes of window fans: small, medium and large. The operations manager...

The Stone Company produces three sizes of window fans: small, medium and large. The operations manager has formulated 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 (1 point each):

a.             ×1, ×2 and ×3.

b.             The 6 in the objective function.

c.             The product of the 8 and ×2 in the objective function.

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.           The 110 hours in the Right Hand Side (RHS) of the plastic constraint.

h.             ×3 ≥ 18.

i.              ×1, ×2, ×3 ≥ 0.

j.              What two key questions can be answered using this model?A8

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Expert Solution

Colby Messinger answered 1 year ago
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