How many units of each product should the company produce, Other Management

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How many units of each product should the company produce

Problem: A company manufactures two products. If it charges price pi for product i, it can sell qi units of product i, where q1 =60-3p1+p2 andq2 =80-2p2+p1. It costs $5 to produce a unit of product 1 and $12 to produce a unit of product 2.

How many units of each product should the company produce and what prices should it charge, to maximize its profit?

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