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.
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.
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: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.
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