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Formulate but do not solve the following exercise as a linear programming problem. A company manufactures two products, A and B, on two machines I and II. It has been determined that the company will realize a profit of $4 on each unit of product A and a profit of $3 on each unit of product B. To manufacture a unit of product A requires 5 min on machine I and 5 min on machine II. To manufacture a unit of product B requires 7 min on machine I and 4 min on machine II. There are 6 hr of machine time available on machine I and 3 hr of machine time available on machine II in each work shift. How many units of each product should be produced in each shift to maximize the company's profit?
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