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 $100 to make, and each model B costs $160. The profits are $32 for each model A and $40 for each model B fax machine. If the total number of fax machines demanded per month does not exceed 3900 and the company has earmarked not more than $450,000/month for manufacturing costs, how many units of each model should National make each month in order to maximize its monthly profits P? Maximize P= subject to the constraints manufacturing costs number produced x>0 yo Need Help? Read It