2X, + 1X, = 2400
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the below LPmodel and its graphical solution:
МАХ
100 X1 + 80 X2
ST 2X1 +1 X2< 2400
4 X1 + 5 X2 < 6000
2 X1 +3 X2 < 3300
1X1 +1 X2s 1500
X1, X2 20
X2
2500
2X, + 1X2 = 2400
2000
1X, + 1X, = 1500
1500
4X, + 5X, = 6000
1000
Optimal: X, = 1000, X,-400
Profit = $132,000
500
2X, + 3X, = 3300
500
1000
1500
2000
2500 X,
a. Which constraint(s) if removed will not affect the feasibility
region?
b. Which constraint(s) if removed will not affect the optimal
solution?
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