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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/unit of product A and a profit of $5/unit of product B. To manufacture 1 unit of product A requires 7 min on machine I and 9 min on machine II. To manufacture 1 unit of product B requires 9 min on machine I and 3 min on machine II. There are 6 hr of machine time available on machine I and 4 hr of machine time available on machine II in each work shift. What is the largest profit the company can realize?
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