Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $63, $95, and $135, respectively. The production requirements per unit are as follows: Number of Fans Number of Cooling Coils Economy Standard. Deluxe Max s.t. 1 Variable E $ D 1 1E + 15 + 1E + 25 + 8E+12S + Constraint 1 2 3 1 Variable E S The computer solution is shown below. Optimal Objective Value Value 100.00000 120.00000 0.00000 For the coming production period, the company has 220 fan motors, 340 cooling coils, and 2,600 hours of manufacturing time available. How many economy models (E), standard models (S), and deluxe models (D) should the company produce. profit? The linear programming model for the problem is as follows: 63E + 95S + 135D 1 2 Slack/Surplus 4 0.00000 0.00000 360.00000 63.00000 95.00000 1D S 220 4D S 340 14D 2,600 Manufacturing time E, S, D 20 17700.00000 Manufacturing Time (hours) Reduced Cost 0.00000 0.00000 -24.00000 8 12 14 Fan motors Cooling coils Dual Value 31.00000 32.00000 0.00000 Objective Allowable Allowable Coefficient Increase Decrease 12.00000 31.00000 15.50000 8.00000 order to maximize
Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $63, $95, and $135, respectively. The production requirements per unit are as follows: Number of Fans Number of Cooling Coils Economy Standard. Deluxe Max s.t. 1 Variable E $ D 1 1E + 15 + 1E + 25 + 8E+12S + Constraint 1 2 3 1 Variable E S The computer solution is shown below. Optimal Objective Value Value 100.00000 120.00000 0.00000 For the coming production period, the company has 220 fan motors, 340 cooling coils, and 2,600 hours of manufacturing time available. How many economy models (E), standard models (S), and deluxe models (D) should the company produce. profit? The linear programming model for the problem is as follows: 63E + 95S + 135D 1 2 Slack/Surplus 4 0.00000 0.00000 360.00000 63.00000 95.00000 1D S 220 4D S 340 14D 2,600 Manufacturing time E, S, D 20 17700.00000 Manufacturing Time (hours) Reduced Cost 0.00000 0.00000 -24.00000 8 12 14 Fan motors Cooling coils Dual Value 31.00000 32.00000 0.00000 Objective Allowable Allowable Coefficient Increase Decrease 12.00000 31.00000 15.50000 8.00000 order to maximize
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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