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 $3/unit of product A and a profit of $4/unit of product B. To manufacture 1 unit of product A requires 6 min on machine I and 5 min on machine II. To manufacture 1 unit of product B requires 9 min on machine I and 4 min on machine II. There are 10 hr of machine time available on machine I and 6 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?
product A _____ units
product B ______ units
What is the largest profit the company can realize?
Is there any time left unused on the machines?
machine I ________ min
machine II _______ min