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Economy Standard Deluxe Number of Fans Number of Cooling Colls Manufacturing Time (hours) 8 12 14

Economy Standard Deluxe Number of Fans Number of Cooling Colls Manufacturing Time (hours) 8 12 14

FINANCIAL ACCOUNTING
FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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(a) What is the optimal solution, and what is the value of the objective function? E 140 x S 110 X D 0 ✓. x profit $19430 (b) which constraints are binding? (Select all that apply.) fan motors cooling coils manufacturing time (c) Which constraint shows extra capacity? Ofan motors O cooling coils O manufacturing time How much extra capacity (in hr) is available? 160 xhr (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 would not ✓change because the new profit is within the range of optimality
Transcribed Image Text:(a) What is the optimal solution, and what is the value of the objective function? E 140 x S 110 X D 0 ✓. x profit $19430 (b) which constraints are binding? (Select all that apply.) fan motors cooling coils manufacturing time (c) Which constraint shows extra capacity? Ofan motors O cooling coils O manufacturing time How much extra capacity (in hr) is available? 160 xhr (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 would not ✓change because the new profit is within the 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 Number of Fans Manufacturing Time (hours) Cooling Colls Economy A 1 8 Standard 1 2 12 Deluxe 1 4 14 For the coming production period, the company has 260 fan motors, 340 cooling colls, and 2,600 hours of manufacturing time available. How many economy models (6), 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: Max 63E+ 955 + 1350 s.t. Fan motors 18+ 15 + LE+ 25 + 85+ 125+ 10 260 40 s 340 140 s 2,600 Cooling coils Manufacturing time The sensitivity report is shown below. Variable Cells Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease 0.000 63.000 12.000 15.500 180.000 80.000 0.000 95.000 31.000 8.000 0.000 24.000 135.000 24.000 1E+30 Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease 260.000 31.000 260.000 50.000 90.000 32.000 340.000 50.000 80.000 340.000 2,400.000 0.000 2,600,000 18+30 200.000 E,S, DO Name Economy Models Standard Models Deluxe Models Model Variable E S D Constraints Constraint Number 1 2 3 Name Fan Motors Cooling Colls Manufacturing Time
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 $63, $95, and $135, respectively. The production requirements per unit are as follows: Number of Number of Fans Manufacturing Time (hours) Cooling Colls Economy A 1 8 Standard 1 2 12 Deluxe 1 4 14 For the coming production period, the company has 260 fan motors, 340 cooling colls, and 2,600 hours of manufacturing time available. How many economy models (6), 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: Max 63E+ 955 + 1350 s.t. Fan motors 18+ 15 + LE+ 25 + 85+ 125+ 10 260 40 s 340 140 s 2,600 Cooling coils Manufacturing time The sensitivity report is shown below. Variable Cells Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease 0.000 63.000 12.000 15.500 180.000 80.000 0.000 95.000 31.000 8.000 0.000 24.000 135.000 24.000 1E+30 Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease 260.000 31.000 260.000 50.000 90.000 32.000 340.000 50.000 80.000 340.000 2,400.000 0.000 2,600,000 18+30 200.000 E,S, DO Name Economy Models Standard Models Deluxe Models Model Variable E S D Constraints Constraint Number 1 2 3 Name Fan Motors Cooling Colls Manufacturing Time
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