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 $5/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 units:
model B units:
What is the optimal profit?