National Business Machines manufactures two models of portable printers: A and B. Each model A costs $110 to make, and each model B costs $140. 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 1,900 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.) Maximize P- subject to the constraints manufacturing costs number produced Show My Work (Optional) 2. [-10.09 Points] DETAILS X 0 yo TANAPMATH7 6.2.003. MY NOTES Formulate but do not solve the following exercise as a linear programming problem. Kane Manufacturing has a division that produces two models of fireplace grates, x units of model A and y units of model B. To produce each model A requires 3 lb of cast iron and 7 min of labor. To produce each model B grate requires 5 lb of cast iron and 4 min of labor. The profit for each model A grate is $1.50, and the profit for each model B grate is $1.00. If 1,400 lb of cast iron and 1,200 min of labor are available for the production of grates per day, how many grates of each model should the division produce per day to maximize Kane's profits P in dollars? Maximize P = cast iron labor x 20 20 subject to the constraints