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 $5/unit of product A and $8/unit of product B. To manufacture a unit of product A requires 11 min on machine I and 7 min on machine II. To manufacture a unit of product B requires 19 min on machine I and 11 min on machine II. There are 5 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? model A model B units units What is the optimal profit? $