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# A limited amount of time in minutes is allocated to

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for the local area. A limited amount of time (in minutes) is allocated to the printing, cutting and folding of each map. Additionally, at least one thousand of map designs A, B, and C must be printed. The profit per map is \$1 for A and B and \$2 for C and D. The Management Scientist Output is provided below. MAX A + B + 2 C + 2 D SUBJECT TO A + 2 B + 3 C + 3 D <= 15000 Print 2 A + 4 B + C + 3 D <= 20000 Cut 3 A + 2 B + 5 C + 3 D <= 20000 Fold A >= 1000 B >= 1000 C >= 1000 Objective Function Value = 10166.667 Variable Value Reduced Costs A 1500.000 0.000 B 1000.000 0.000 C 1000.000 0.000 D 2833.333 0.000 Constraint Slack/Surplus Dual Prices Print 0.000 0.500 Cut 3500.000 0.000 Fold 0.000 0.167 Print A 500.000 0.000 Print B 0.000 -0.333 Print C 0.000 -0.333 OBJECTIVE COEFFICIENT RANGES Variable Lower Limit Current Value Upper Limit A 0.667 1.000 2.000 B No Lower Limit 1.000 1.333 C No Lower Limit 2.000 2.333 D 1.500 2.000 3.000 RIGHT HAND SIDE RANGES Constraint Lower Limit Current Value Upper Limit Print 9333.333 15000.000 16000.000 Cut 16500.000 20000.000 No Upper Limit Fold 19000.000 20000.000 27000.000 Print A No Lower Limit 1000.000 1500.000 Print B 0.000 1000.000 2750.000 Print C 0.000 1000.000 1500.000 14

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31. Answer the following question using the Management Scientist output above. Which constraint(s) are binding? A. Print and Fold B. Cut and Print A C. Print B and Print C D. Print and Cut E. Print, Fold, Print B and Print C 32. Answer the following question using the Management Scientist output above. Keeping within the confines of the problem, the profit on Map A has increased by one dollar. Determine the new objective function value. A. 1,500 B. 11,166.67 C. 11,500.67 D. 11,666.67 E. 12,566.67 33. Quentin Magic Brown manufactures sports shoes and wants to maximize the company's profits. The company makes two types of sport shoe, Airwalkers and Bouncy Basketball shoes. The company earns \$10 profit on each pair of Airwalkers and \$18 profit on each pair of Bouncy Basketball shoes. The manufacturing process includes cutting the materials on a machine and having workers assemble the pieces. Each pair of Airwalkers requires 3 minutes of cutting time and the Bouncy Basketball shoes require 2 minutes. The machines that cut the material can run at most 1200 minutes a week. Each worker takes 7 hours to assemble a pair of Airwalkers and 8 hours to assemble a pair of Bouncy Basketball shoes; the maximum number of hours available is 3500 per week. Determine the maximum profit for this problem? Use the graph paper provided below. A. \$3200 B. \$4000 C. \$4280 D. \$6295 E. \$7875 15

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A limited amount of time in minutes is allocated to the...

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