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# The quiet meadow studio sells photographs and prints

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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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 12

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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 Excel output is provided below. Max Profit = A + B + 2 C + 2 D s.t. 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 Print A B > 1000 Print B C > 1000 Print C Microsoft Excel 14.0 Sensitivity Report Objective Function Value  \$10,166.67 Variable Cells     Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease \$B\$1 8 Map A 1500 0 1 1 0.333333333 \$C\$1 8 Map B 1000 0 1 0.333333333 1E+30 \$D\$1 8 Map C 1000 0 2 0.333333333 1E+30 \$E\$1 8 Map D 2833.333333 0 2 1 0.5 Constraints     Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease \$B\$2 4     Print 15000 0.5 15000 1000 5666.666667 \$B\$2 5     Cut  16500 0 20000 1E+30 3500 \$B\$2 6     Fold 20000 0.166666667 20000 7000 1000 \$B\$2 7     Print A 1500 0 1000 500 1E+30 \$B\$2 8     Print B 1000 -0.33333333 1000 1750 1000 \$B\$2 9     Print C 1000 -0.33333333 1000 500 1000

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