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# 14 15 apply to the excel output for the quantum mo

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Questions 34-37 apply to the Excel output for the Quantum Mo-Botics model is below. The company makes three types of machines and has limitations with regards to the amount of skilled and unskilled labor hours available and time on the assembly line. MAX Profit = 800SemiAuto+1000Robotic + 500Manual s.t. 30SemiAuto + 100Robotic + 45Manual < 4500 Skilled Labor 100SemiAuto + 70Robotic + 90Manual < 9000 Unskilled Labor 15SemiAuto + 20Robotic + 10Manual < 2000 Assembly Line Microsoft Excel 14.0 Sensitivity Report Objective Function Value   \$ 82,025.32  Variable Cells     Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease \$B\$18  SemiAuto 74.05063291 0 800 628.5714286 432.4786325 \$C\$18  Robotic 22.78481013 0 1000 1666.666667 440 \$D\$18  Manual 0 -320.253164 500 320.2531646 1E+30 Constraints     Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease \$B\$24 Skilled labor  4500 5.569620253 4500 3605.263158 1800 \$B\$25 Unskilled labor  9000 6.329113924 9000 3805.555556 5850 \$B\$26 Assembly line  1566.455696 0 2000 1E+30 433.5443038 34. Answer the following question using the Excel output above, determine the new objective function value if the profit on the second variable, Robotic, increases by \$1000? A. \$22,785.00 B. \$19,125.64 C. \$33,800.00 D. \$102,805.32 E. \$104,810.32 35. Answer the following question using the Excel output above. Keeping within the confines of the problem, you are required to hire a full time (40 hours) person who is qualified to work in any department. Select the constraint where you will gain the most profit and determine the additional profit to be gained? A. \$253.16 B. \$222.80 C. \$341.00 D. \$129.50 E. \$119.50 16

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36. Answer the following question using the Excel output above. Keeping within the confines of the problem, how many more hours of skilled workers could you add to the department? A. 2875.33 B. 1280.56 C. 1550.56 D. 3805.56 E. 3605.26 37. Using the Excel output above, how much is each additional unit of unskilled labor worth? A. \$74.500 B. \$22.790 C. \$5.570 D. \$6.329 E. \$3.250 17
38. An ice cream plant make’s Chocolate and Strawberry ice cream. There is \$40 profit for a case of Chocolate and \$32 for a case of Strawberry and has the following constraints: 32C + 8S < 4,800 Flavoring 28C + 32S < 14,000 Coloring a. What is the optimal solution? b. Now add a constraint: demand for Strawberry is always less than 200 cases and determine the optimal solution. c. Add another constraint: demand for Chocolate is always less than 400 cases and determine the optimal solution.

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14 15 apply to the Excel output for the Quantum Mo Botics...

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