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

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Advance Math

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

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