Consider the following linear program: max z = -2x1 + x2 – 4x3 +3x4 subject to x1 + x2 + 3x3 + 2x4 < 4 X1 – x3 + x4 >-1 2x1 + x2 < 2 ¤1 + 2x2 + x3 + 2x4 = 2 x2 2 0, x3 < 0, x4 > 0. Construct its dual problem.
Consider the following linear program: max z = -2x1 + x2 – 4x3 +3x4 subject to x1 + x2 + 3x3 + 2x4 < 4 X1 – x3 + x4 >-1 2x1 + x2 < 2 ¤1 + 2x2 + x3 + 2x4 = 2 x2 2 0, x3 < 0, x4 > 0. Construct its dual problem.
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 following linear program:
max z = -2x1 + x2 – 4x3 + 3x4
subject to x1 + x2 + 3x3 + 2x4 < 4
x1 – x3 + x4 > -1
2x1 + x2 < 2
xi + 2x2 + x3 + 2x4 = 2
x2 > 0, x3 < 0, x4 > 0.
Construct its dual problem.
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