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# The quiet meadow studio sells photographs and prints

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• Oceanborn
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30. The Quiet Meadow Studio sells photographs and prints. It cost \$20 to purchase each photograph and it takes 2 hours to frame it. It costs \$25 to purchase each print and it takes 5 hours to frame it. The store has at most \$400 to spend and at most 60 hours to frame. It makes \$30 profit on each photograph and \$50 profit on each print. Determine the maximum profit. A. 360 B. 600 C. 700 D. 740 E. 800                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             13

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Questions 31 & 32 apply to this information: Quality Bike Maps has produced four map designs 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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• Spring '12
• Herst
• Regression Analysis, Variance, Limit of a function, Limit of a sequence, Limit superior and limit inferior, Management Scientist output

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