Maximize 9x2 + 2x3-X5 subject to x1 - 3x2 2x2 x2 + x3 4x4 X4 +2 X5 +4 +3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3-
(d) Maximize 9x2 + 2x3-x5
subject to
x1 - 3x2
2x2
4x4
+ 2x6
60
- x4 x5 + 4x6 = -20
+ 3x6 = = 10
-
x2 + x3
X1, X2, X3, X4, X5, X6 20
-
=
Minimize x₁ + x2 + x3 = z subject to
-x1 + 2x2 + x3 ≤ 1
-X1
+ 2x3 24
x1 - x2 + 2x3 = 4
X1, X2, X3 20
Transcribed Image Text:3- (d) Maximize 9x2 + 2x3-x5 subject to x1 - 3x2 2x2 4x4 + 2x6 60 - x4 x5 + 4x6 = -20 + 3x6 = = 10 - x2 + x3 X1, X2, X3, X4, X5, X6 20 - = Minimize x₁ + x2 + x3 = z subject to -x1 + 2x2 + x3 ≤ 1 -X1 + 2x3 24 x1 - x2 + 2x3 = 4 X1, X2, X3 20
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