Quantitative Methods

Decision Science Management Please say all your work with the problems in steps but NOT exactly answers. 22. Reiser Sports Products wants to determine the number of All-Pro (A) and College (C) footballs to produce in order to maximize service over the next four-week proviso horizon. Constraints affecting the intersection quantities are the production capacities in three departments cutting and dyeing sewing and inspection and packaging. For the four-week planning period, 340 hours of cutting and dyeing period, 420 hours of sewing time, and 200 hours of inspection and packaging time are available.All-Pro footballs provide of $5 per unit and College footballs provide a gelt of $4 per unit. The linear programming model with production times convey in minutes is as follows Max 5A + 4C s. t. 12A + 6C 20,400 Cutting and dyeing 9A + 15C 25,200 sew together 6A + 6C 12,000 Inspection and packaging A, C 0 A portion of the graphic solution to the Reiser problem is shown in Figure 2. 2 3 a. Shade the feasible region for this problem. b. Determine the coordinates of separately utmost(a) allude and the corresponding profit.Which extreme point generates the highest profit? c. Draw the profit line corresponding to a profit of $4000. Move the profit line as far from the starting time as you can in order to determine which extreme point will provide the optimum solution. Compare your answer with the approach you apply in part (b). d. Which constraints are binding? Explain. e. Suppose that the values of the accusative function coefficients are $4 for each All-Pro model produced and $5 for each College model. Use the graphical solution procedure to determine the new optimal solution and the corresponding value of profit.