Reiser Sports Products desires to find out the number of All-Pro and College footballs to produce in order to maximize profit over the next four-week planning horizon. Constraints affecting production quantities are production capacities in three departments: cutting and dyeing; sewing; and inspection and packaging. For four-week planning period, 340 hours of cutting and dyeing time, 420 hours of sewing time, and 200 hours of inspection as well as packaging time are available. The time needed to manufacture the two kinds of footballs is shown in the following table: Labor Requirements (Hours) All-Pro College Cutting and Dyeing 3 4 Sewing 7 5 Inspection and Packaging 2 1 All-Pro footballs provide a profit of $5 per unit and College footballs provide a profit of $4 per unit. Formulate a linear optimization model that will maximize Reiser's profits and satisfy the constraints.