1. For the following linear program, maximize 7x1 +12x2 +9x3 subject to 1+3x2+3x34, 2x1 +3x2+2x3≤5, 2x14x2+3x3 ≤7, x1, x2, x30 determine whether x = (}, }, }) 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
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1. For the following linear program,
maximize 7x1 + 12x2 +9x3
subject to
1+3x2+3x3 <4,
2x1 +3x2+2x3 ≤5,
2x1 + 4x2+3x3 ≤7,
x1, x2, x30
determine whether x = (3) is an optimal solution using the principle of com-
plementary slackness.
Transcribed Image Text:1. For the following linear program, maximize 7x1 + 12x2 +9x3 subject to 1+3x2+3x3 <4, 2x1 +3x2+2x3 ≤5, 2x1 + 4x2+3x3 ≤7, x1, x2, x30 determine whether x = (3) is an optimal solution using the principle of com- plementary slackness.
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