Formulate but do not solve the following exercise as a linear programming problem.A company manufactures x units of product A and y units of product B, on two machines, I and II. It has been determined that the company will realize a profit of $2 on each unit of product A and $4 on each unit of product B. To manufacture a unit of product A requires 7 min on machine I and 3 min on machine II. To manufacture a unit of product B requires 9 min on machine I and 3 min on machine II. There are 154 min available on machine I and 66 min available on machine II in each work shift. How many units of a product should be produced in each shift to maximize the company's profit P?P =______ subject to the constraints.machine I ______.machine II _______.x = 0 ________.y = 0 _________.