Маx 63E + 95S + 135D s.t. 1E + 1S + 1D s 240 Fan motors Cooling coils Manufacturing time 1E + 25 + 4D s 360 14D s 2,500 E, S, D 2 0 8E + 125 +
Маx 63E + 95S + 135D s.t. 1E + 1S + 1D s 240 Fan motors Cooling coils Manufacturing time 1E + 25 + 4D s 360 14D s 2,500 E, S, D 2 0 8E + 125 +
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:The near program ng IoderTor the probiemis as TOTOWS.
Маx
63E + 95S+
135D
s.t.
1E + 1S +
1D s 240
Fan motors
1E + 25 +
4D s 360
Cooling coils
Manufacturing time
8E + 125 +
14D s 2,500
E, S, D 2 0
The computer solution is shown below.
Optimal Objective Value - 18960.00000
Variable
Value
Reduced Cost
E
120.00000
0.00000
120.00000
0.00000
0.00000
-24.00000
Constraint
Slack/Surplus
Dual Value
0.00000
31.00000
2
0.00000
32.00000
3
100.00000
0.00000
TEEE
Allowable
Objective
Coefficient
Allowable
Variable
Increase
Decrease
E
63.00000
12.00000
15.50000
95.00000
31.00000
8.00000
D
135.00000
24.00000
Infinite
RHS
Allowable
Allowable
Constraint
Value
Increase
Decrease
240.00000
25.00000
60.00000
2
360.00000
25.00000
120.00000
3
2500.00000
Infinite
100.00000
(a) Identify the range of optimality for each objective function coefficient. (If there is no upper or lower limit, enter NO LIMIT.)
to
to
to
(b) Suppose the profit for the economy model is increased by $6 per unit, the profit for the standard model is decreased by $2 per
unit, and the profit for the deluxe model is increased by $4 per unit. What will the new optimal solution be?
units
units
D
units
profit
24
(c) 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
(d) If the number of fan motors available for production is increased by 45, will the dual value for that constraint change? Explain.
O Yes, the dual value will change because 45 is greater than the allowable increase of 12.
O Yes, the dual value will change because 45 is greater than the allowable increase of 25.
O No, the dual value will not change because 45 is less than the allowable increase of 265.
O No, the dual value will not change because there is no upper limit to how much the constraint can increase.
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