Back Savers is a company that produces backpacks primarily for students. They are considering offering some combination of two different models-the Collegiate and the Mini. Both are made out of the same rip-resistant nylon fabric. Back Savers has a long term contract with a supplier of the nylon and receives a 5,000 square-foot shipment of the material each week. Each Collegiate requires 3 square feet while each Mini requires 2 square feet. The sales forecasts indicate that at most 1,000 Collegiate and 1,200 Minis can be sold per week. Each Collegiate requires 45 minutes of labor to produce and generates a unit profit of $32. Each Mini requires 40 minutes of labor and generates a unit profit of $24. Back Savers has 35 laborers that each provides 40 hours of labor per week. Management wishes to know what quantity of each type of backpack to produce per week. Formulate a linear programming model of this problem.