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 $120 to make, and each model costs $140. The profits are $25 for each model A and $25 for each model B fax machine. If the total number of fax machines demanded per month does not exceed 2700 and the company has earmarked not more than 5600,000/month for manufacturing costs, how many units of each model should National make each month to maximize its monthly profits Pin dollars? Maximize P= subject to the constraints manufacturing costs number produced *20