OSU Bookstores want to sell an exclusive line of backpacks. The line has four models of backpacks: canvas, plastic, nylon, and leather. The bookstores want no fewer than 15 and no more than 40 of any one model. The bookstores have agreed to pay $35.50 for each canvas backpack, $39.50 for each plastic backpack, $42.50 for each nylon backpack, and $69.50 for each leather backpack. The manufacturer, a local company with limited manufacturing capabilities, must deliver the backpacks by the end of the week. The company has three specialized part-time workers available to do the sewing. One employee can work on either canvas or plastic backpacks, can complete a backpack in 1.5 hours, and charges $7/hour. Because it’s spring break, she can commit to 90 hours of work in the next week. A second employee can work on nylon backpacks, completes one unit every 1.7 hours, charges $8/hour and can commit to 42.5 hours. The third worker can sew leather, can complete a backpack in 1.9 hours, charges $9/hour, and can work 80 hours. The following table provides additional information about each backpack and the amount of material available: Canvas Plastic Nylon Leather Square yards per pack 2.25 2.40 2.10 2.60Square yards available 45 90 75 100Cost per square yard $4.50 $4.25 $7.65 $9.45Formulate as a linear program to determine the combination of backpacks that maximizes the total profit.