2. For the following linear programmaximizex18x23x3subject to 2x1 +8x2+2x3 ≤ 4,2x14x2 3x3 ≤ 4,x12x2x3 ≤ 1,x1, x2, x30determine whether x = (0, ½, 0) is an optimal solution using the principle of com-plementary slackness.

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Answered: 2. For the following linear program…

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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min z = x, +2x, 2 X; +x, 29 X, +5x, 215 2x, +x, <16 s.t. X,, X2 , X3 2 0 Given the above linear programming model. Find the optimal solution by using Big M method.
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2. For the following linear program maximize x18x23x3 subject to 2x1 +8x2+2x3 ≤ 4, 2x14x2 3x3 ≤ 4, x12x2 x3 ≤ 1, x1, x2, x30 determine whether x = (0, ½, 0) is an optimal solution using the principle of com- plementary slackness.