A company manufactures x units of Product Aand y units of Product B, on two machines, I andII. It has been determined that the company will realize a profitof $2/unit of Product A and a profit of $4/unit of ProductB. To manufacture a unit of Product A requires 6min on Machine I and 5 min on Machine II. To manufacture a unit ofProduct B requires 9 min on Machine I and 4 min on MachineII. There are 5 hr of machine time available on Machine I and 3 hrof machine time available on Machine II in each work shift. Howmany units of each product should be produced in each shift tomaximize the company's profit?
What is the optimal profit? (Round your answer to the nearest wholenumber.)
$