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 $4 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 8 min on machine I and 4 min on machine II. There are 168 min available on machine I and 72 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? Minimize P= subject to the constraints machine I machine II x 20 y20 Formulate but do not solve the following exercise as a linear programming problem. National Business Machines manufactures x model A fax machines and y model B fax machines. Each model A cost $90 to make, and each model B costs $150. The profits are $31 for each model A and $39 for each model B fax machine. If the total number of fax machines demanded per month does not exceed 3400 and the company has earmarked not more than $420,000/month for manufacturing costs, how many units of each model should National make each month in order to maximize its monthly profits P? ---Select--- P= subject to the constraints manufacturing costs number produced x 20 y20