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A Company Has $250,000 to Spend on Labor and Raw

Question 8

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A company has $250,000 to spend on labor and raw materials.Let L be the quantity of labor and R be the quantity of raw materials.The production output P of the company is cRL (here c is a positive constant).Suppose that each unit of labor costs $6000 and the unit price of raw materials is $2000.
Find the ratio of R to L that maximizes P.

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