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A stereo mail order center has 800 cubic feet available for storage of its private label loudspeakers. The ZAR1 speakers cost $200 each and require 4 cubic feet of space; the ZAR2 speakers cost $110 each and require 3 cubic feet of space; and the ZAR3 model costs $50 and requires 1 cubic foot of space. The demand for the ZAR1 is 20 or more. The wholesaler has $10000 to spend on loudspeakers this month. Each ZAR1 contributes $105, each ZAR2 contributes $50, and each ZAR3 contributes $28. The objective is to maximize total contribution.
A. Formulate this problem as a linear programming problem (define decision variables, objective function and constraints).
B. It has been determined that ZAR3 speakers are out of stock so cannot be ordered. Solve the problem using Solver.
(IF YOU DONT KNOW WHAT SOLVER IS OR HOW TO USE IT THEN SOLVE PROBLEM WITHOUT SOLVER)
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