Question: Linear programming, que 21 a,b,c,d,e please, using graph 7.23 thank u 21. Consider the following linear program: Max 2A + 3B s.t. 5A + 5B

Linear programming, que 21 a,b,c,d,e please, using graph 7.23 thank u

Linear programming, que 21 a,b,c,d,e please,
21. Consider the following linear program: Max 2A + 3B s.t. 5A + 5B = 400 Constraint 1 -IA + 1B = 10 Constraint 2 1A + 3B 2 90 Constraint 3 A, B 20 Figure 7.23 shows a graph of the constraint lines. a. Place a number (1, 2, or 3) next to each constraint line to identify which constraint it represents. b. Shade in the feasible region on the graph. C. Identify the optimal extreme point. What is the optimal solution? d. Which constraints are binding? Explain. e. How much slack or surplus is associated with the nonbinding constraint? 22. Reiser Sports Products wants to determine the number of All-Pro (A) and College (C) foot- balls to produce in order to maximize profit over the next four-week planning horizon. Constraints affecting the production quantities are the production capacities in three de- partments: cutting and dyeing; sewing; and inspection and packaging. For the four-week planning period, 340 hours of cutting and dyeing time, 420 hours of sewing time, and 200 hours of inspection and packaging time are available. All-Pro footballs provide a profit FIGURE 7.23 GRAPH OF THE CONSTRAINT LINES FOR EXERCISE 21 90 80 70 60 - 50 40 30 20 10 Cengage Leaming 2013 10 20 30 40 50 60 7 80 90 100 4

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