Identify the range of feasibility for the right-hand-side values. (If there is no upper or lower limit, enter NO LIMIT.)   constraint 1 ______ to_______ constraint 2 ______to_______ constraint 3 ______to______

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 80P
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Identify the range of feasibility for the right-hand-side values. (If there is no upper or lower limit, enter NO LIMIT.)
 

constraint 1 ______ to_______

constraint 2 ______to_______

constraint 3 ______to_______

Variable
E
S
D
Constraint
1
2
3
Objective
Coefficient
63.00000
95.00000
135.00000
RHS
Value
240.00000
340.00000
2600.00000
Allowable
Increase
12.00000
31.00000
24.00000
Allowable
Increase
70.00000
70.00000
Infinite
Allowable
Decrease
15.50000
8.00000
Infinite
Allowable
Decrease
70.00000
100.00000
280.00000
Transcribed Image Text:Variable E S D Constraint 1 2 3 Objective Coefficient 63.00000 95.00000 135.00000 RHS Value 240.00000 340.00000 2600.00000 Allowable Increase 12.00000 31.00000 24.00000 Allowable Increase 70.00000 70.00000 Infinite Allowable Decrease 15.50000 8.00000 Infinite Allowable Decrease 70.00000 100.00000 280.00000
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:
Economy
Standard
Deluxe
Max
s.t.
Number of
Fans
1
1
1
63E+ 95S +
Variable
E
S
D
1E + 1S +
1E + 2S
+
8E+12S +
Constraint
1
2
3
The computer solution is shown below.
For the coming production period, the company has 240 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 in order to maximize profit? The linear programming model for the
problem is as follows:
135D
Number of
Cooling Coils
Value
1D ≤ 240
4D ≤ 340
14D ≤ 2,600
E, S, D≥ 0
140.00000
100.00000
0.00000
1
Optimal Objective Value = 18320.00000
2
4
Slack/Surplus
0.00000
0.00000
280.00000
Reduced Cost
0.00000
0.00000
-24.00000
Manufacturing
Time (hours)
12
Fan motors
Cooling coils
Manufacturing time
14
Dual Value
31.00000
32.00000
0.00000
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 $63, $95, and $135, respectively. The production requirements per unit are as follows: Economy Standard Deluxe Max s.t. Number of Fans 1 1 1 63E+ 95S + Variable E S D 1E + 1S + 1E + 2S + 8E+12S + Constraint 1 2 3 The computer solution is shown below. For the coming production period, the company has 240 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 in order to maximize profit? The linear programming model for the problem is as follows: 135D Number of Cooling Coils Value 1D ≤ 240 4D ≤ 340 14D ≤ 2,600 E, S, D≥ 0 140.00000 100.00000 0.00000 1 Optimal Objective Value = 18320.00000 2 4 Slack/Surplus 0.00000 0.00000 280.00000 Reduced Cost 0.00000 0.00000 -24.00000 Manufacturing Time (hours) 12 Fan motors Cooling coils Manufacturing time 14 Dual Value 31.00000 32.00000 0.00000
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