(d) options are: would/would not within/outside range of feasibility/range of optimality

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 Manufacturing Time (hours) Economy 1 1 8 Standard 1 2 12 Deluxe 1 4 14 For the coming production period, the company has 220 fan motors, 340 cooling coils, and 2,500 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: 63E + 95S + 1350 Max s.t. 1E + 15 + 1D S 220 1E + 25 + 40 S 340 8E + 125 + 14D S 2,500 E,S,D 20 Fan motors Cooling coils Manufacturing time The computer solution is shown below. Optimal Objective Value = 17700.00000 Variable E Value 100.00000 120.00000 0.00000 Reduced Cost 0.00000 0.00000 24.00000 S D Constraint 1 Slack/Surplus 0.00000 0.00000 260.00000 Dual Value 31.00000 32.00000 0.00000 3 Variable Objective Coefficient 63.00000 95.00000 135.00000 Allowable Increase 12.00000 31.00000 24.00000 Allowable Decrease 15.50000 B.00000 Infinite D 1 Constraint 1 2 3 RAS Value 220.00000 340.00000 2500.00000 Allowable Increase 65.00000 65.00000 Infinite Allowable Decrease 50.00000 120.00000 260.00000 (a) What is the optimal solution, and what is the value of the objective function? E S D profit (b) which constraints are binding? (Select all that apply.) fan motors O cooling coils O manufacturing time Which constraint shows extra capacity? fan motors cooling coils O manufacturing time How much extra capacity (in hr) is available? hr (d) If the profit for the deluxe model were increased to $145 per unit, would the optimal solution change? Use the information in the output to answer this question. The optimal solution Select-- V change because the new profit is Select-- the ---Select- . 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 Manufacturing Time (hours) Economy 1 1 8 Standard 1 2 12 Deluxe 1 4 14 For the coming production period, the company has 220 fan motors, 340 cooling coils, and 2,500 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: 63E + 95S + 1350 Max s.t. 1E + 15 + 1D S 220 1E + 25 + 40 S 340 8E + 125 + 14D S 2,500 E,S,D 20 Fan motors Cooling coils Manufacturing time The computer solution is shown below. Optimal Objective Value = 17700.00000 Variable E Value 100.00000 120.00000 0.00000 Reduced Cost 0.00000 0.00000 24.00000 S D Constraint 1 Slack/Surplus 0.00000 0.00000 260.00000 Dual Value 31.00000 32.00000 0.00000 3 Variable Objective Coefficient 63.00000 95.00000 135.00000 Allowable Increase 12.00000 31.00000 24.00000 Allowable Decrease 15.50000 B.00000 Infinite D 1 Constraint 1 2 3 RAS Value 220.00000 340.00000 2500.00000 Allowable Increase 65.00000 65.00000 Infinite Allowable Decrease 50.00000 120.00000 260.00000 (a) What is the optimal solution, and what is the value of the objective function? E S D profit (b) which constraints are binding? (Select all that apply.) fan motors O cooling coils O manufacturing time Which constraint shows extra capacity? fan motors cooling coils O manufacturing time How much extra capacity (in hr) is available? hr (d) If the profit for the deluxe model were increased to $145 per unit, would the optimal solution change? Use the information in the output to answer this question. The optimal solution Select-- V change because the new profit is Select-- the ---Select-