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A stereo mail order center has 8,000 cubic feet available for storage of its private label loudspeakers.The ZAR3 speakers cost $295 each and require 4 cubic feet of space;the ZAR2ax speakers cost $110 each and require 3 cubic feet of space;and the ZAR4 model costs $58 and requires 1 cubic foot of space.The demand for the ZAR3 is at most 20 units per month.The wholesaler has $100,000 to spend on loudspeakers this month.Each ZAR3 contributes $105,each ZAR2ax contributes $50,and each ZAR4 contributes $28.The objective is to maximize total contribution.Formulate this problem as a linear program.
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