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A company manufactures two products, A and B, on two machines, I and II. The profit...

A company manufactures two products, A and B, on two machines, I and II. The profit is $3 on each unit of product A and $4 on each unit of product B. To manufacture a unit of product A requires 6 minutes on machine I and 5 minutes on machine II. To manufacture a unit of product B requires 9 minutes on machine I and 4 minutes on machine II. There are 300 minutes of machine time available on machine I and 180 minutes of machine time available on machine II in a work shift. How many units of each product should be produced in each shift to maximize the company’s profit?

  1. Solve each inequality for y and state whether to shade above or below for each inequality.
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