Back Savers Is a Company That Produces Backpacks Primarily for Students.They

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 5000 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 1000 Collegiates and 1200 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.(a)Formulate and solve a linear programming model for this problem on a spreadsheet.(b)Formulate this same model algebraically.(c)Use the graphical method by hand to solve this model.