A company manufactures two products. If it charges price pi for product i, it can sell qi units of product i, where q1 = 80 – 2p1 + p2 and q2 = 100 – 3p2 + p1. It costs $8 to produce a unit of product 1 and $15 to produce a unit of product 2. a.  How many units of each product should the company produce to maximize its profit? If needed, round your answers to one decimal digit.   Product 1 Product 2 Production quantities         b.  What prices should the company charge to maximize its profit? If needed, round your answers to the nearest cent.   Product 1 Product 2 Prices $

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