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a. What is the optimal solution, and what is the value of the objective function? If required, round your answers to the nearest whole number. If your answer is zero, enter "0". Optimal Solution Economy models (E) Standard models (S) Deluxe models (D) Value of the objective function $ b. Which constraints are binding? Fan motors: Cooling coils: Manufacturing time: Binding Non binding

a. What is the optimal solution, and what is the value of the objective function? If required, round your answers to the nearest whole number. If your answer is zero, enter "0". Optimal Solution Economy models (E) Standard models (S) Deluxe models (D) Value of the objective function $ b. Which constraints are binding? Fan motors: Cooling coils: Manufacturing time: Binding Non binding

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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c. Which constraint shows extra capacity? How much? constraint shows no extra capacity, enter 0 as number of units. If required, round your answers to the nearest whole number. Constraints Fan motors Cooling coils Manufacturing time The optimal solution solution changing. d. If the profit for the deluxe model were increased to $152 per unit, would the optimal solution change? change because the profit of the deluxe model can vary from $152 is this range without the optimal The optimal solution Extra capacity $0 $12 $125 $137 $149 Yes †No d. If the profit for the deluxe model were increased to $152 per unit, would the optimal sc change because the profit of the deluxe mo $152 is this rang solution changing. would would not to d. If the profit for the deluxe model were increased to $152 per unit, would the optimal sol The optimal solution change because the profit of the deluxe mod $152 is this range solution changing. Number of units to $12 $125 $137 $149 linfinitv d. If the profit for the deluxe model were increased to $152 per unit, would the optimal solution change? The optimal solution change because the profit of the deluxe model can vary from $152 is ( this range without the optimal to in not in
Transcribed Image Text:c. Which constraint shows extra capacity? How much? constraint shows no extra capacity, enter 0 as number of units. If required, round your answers to the nearest whole number. Constraints Fan motors Cooling coils Manufacturing time The optimal solution solution changing. d. If the profit for the deluxe model were increased to $152 per unit, would the optimal solution change? change because the profit of the deluxe model can vary from $152 is this range without the optimal The optimal solution Extra capacity $0 $12 $125 $137 $149 Yes †No d. If the profit for the deluxe model were increased to $152 per unit, would the optimal sc change because the profit of the deluxe mo $152 is this rang solution changing. would would not to d. If the profit for the deluxe model were increased to $152 per unit, would the optimal sol The optimal solution change because the profit of the deluxe mod $152 is this range solution changing. Number of units to $12 $125 $137 $149 linfinitv d. If the profit for the deluxe model were increased to $152 per unit, would the optimal solution change? The optimal solution change because the profit of the deluxe model can vary from $152 is ( this range without the optimal to in not in
Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $59, $89, and $137, respectively. The production requirements per unit are as follows: Economy Standard Deluxe Max s.t. Number of Fans 1 1 1 59E+ 895 + 137D 1E + 1E + For the coming production period, the company has 250 fan motors, 380 cooling coils, and 2600 hours of manufacturing time available. How many economy models (E), standard models (S), and deluxe models (D) should the company produce in order to maximize profit? The linear programming model for the problem is as follows: 15 + 25 + Optimal Objective Value = Variable E S D 250 Fan motors 380 Cooling coils 8E + 125 + 14D ≤ 2600 Manufacturing time E, S, D 20 Constrainal 1 2 3 The computer solution is shown in the figure below. Variable D Constraint 1D S 4D S Fan motors: Cooling coils: Manufacturing time: Number of Cooling Coils b. Which constraints are binding? 1 2 4 Economy models (E) Standard models (S) Deluxe models (D) Value of the objective function $ Binding Non binding 18650.00000 Manufacturing Time (hours) Slack/Surplus Objective Coefficient RIIS Value Value 120.00000 130.00000 0.00000 59.00000 89.00000 137.00000 Optimal Solution 8 12 14 0.00000 0.00000 80.00000 250.00000 380.00000 2600.00000 Allowable Increase 6.00000 29.00000 12.00000 Allowable Increase 20.00000 20.00000 Infinite Reduced Cost 0.00000 0.00000 12.00000 Dual Value 29.00000 30.00000 0.00000 a. What is the optimal solution, and what is the value of the objective function? If required, round your answers to the nearest whole number. If your answer is zero, enter "0". Allowable Decrease 14.50000 4.00000 Infinite Allowable Decrease 60.00000 130.00000 80.00000
Transcribed Image Text:Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $59, $89, and $137, respectively. The production requirements per unit are as follows: Economy Standard Deluxe Max s.t. Number of Fans 1 1 1 59E+ 895 + 137D 1E + 1E + For the coming production period, the company has 250 fan motors, 380 cooling coils, and 2600 hours of manufacturing time available. How many economy models (E), standard models (S), and deluxe models (D) should the company produce in order to maximize profit? The linear programming model for the problem is as follows: 15 + 25 + Optimal Objective Value = Variable E S D 250 Fan motors 380 Cooling coils 8E + 125 + 14D ≤ 2600 Manufacturing time E, S, D 20 Constrainal 1 2 3 The computer solution is shown in the figure below. Variable D Constraint 1D S 4D S Fan motors: Cooling coils: Manufacturing time: Number of Cooling Coils b. Which constraints are binding? 1 2 4 Economy models (E) Standard models (S) Deluxe models (D) Value of the objective function $ Binding Non binding 18650.00000 Manufacturing Time (hours) Slack/Surplus Objective Coefficient RIIS Value Value 120.00000 130.00000 0.00000 59.00000 89.00000 137.00000 Optimal Solution 8 12 14 0.00000 0.00000 80.00000 250.00000 380.00000 2600.00000 Allowable Increase 6.00000 29.00000 12.00000 Allowable Increase 20.00000 20.00000 Infinite Reduced Cost 0.00000 0.00000 12.00000 Dual Value 29.00000 30.00000 0.00000 a. What is the optimal solution, and what is the value of the objective function? If required, round your answers to the nearest whole number. If your answer is zero, enter "0". Allowable Decrease 14.50000 4.00000 Infinite Allowable Decrease 60.00000 130.00000 80.00000
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