Formulate but do not solve the following exercise as a linear programming problem.National Business Machines manufactures two models of portable printers: A and B. Each model A costs $110 to make, and each model B costs $160. The profits are $25 for each model A and $45 for each model B portable printer. If the total number of portable printers demanded per month does not exceed 1,600 and the company has earmarked not more than $600,000/month for manufacturing costs, how many units of each model should National make each month to maximize its monthly profits P in dollars? (Let x represent the number of units of model A and y represent the number of units of model B.)MaximizeP=

subject to the constraintsmanufacturing costs

number produced

x 0

y 0