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A company manufactures two products. If it charges a price p; for product i, it can sell qi units of product i, where q

 

A company manufactures two products. If it charges a price p; for product i, it can sell qi units of product i, where q = 60 - 3p + p2 and q2 = 80 - 2p2 + p. It costs $25 to produce a unit of product 1 and $72 to produce a unit of product 2. How many units of each product should be produced to maximize profits?

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