Formulate but do not solve the following exercise as a linear programming problem.

A company manufacturesxunits of ProductAandyunits of ProductB, on two machines, I and II. It has been determined that the company will realize a profit of$4on each unit of ProductAand$3on each unit of ProductB. To manufacture a unit of ProductArequires6min on Machine I and4min on Machine II. To manufacture a unit of ProductBrequires8min on Machine I and4min on Machine II. There are248min available on Machine I and144min 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 profitPin dollars?

Maximize		P	=		subject to the constraints
Machine I
Machine II
x0
y0