Determine whether xT= (0, ) is an optimal solution to the following linear program. maximise ,n + E2 + I3 2.x1 + 7x2 + 38, ¤i +3r2 +3r3 7, 2.01 subject to + 4r3 < 6, T1 + 3x2 + 39, T1, 12, T3 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 11AEXP
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Justify answer using complementary slackness and give optimal solution also find the the optimal solution to the dual aswell
Determine whether x= (0, 2, ) is an optimal solution to the following linear
program.
maximise En + £2 + 13
2.r1 + 7x2 + r3 <8,
T1+3x2 +3r3<7,
+ 4r3 < 6,
a1 + 3x2 + 13 9,
subject to
201
T1, 12, T3 0
Transcribed Image Text:Determine whether x= (0, 2, ) is an optimal solution to the following linear program. maximise En + £2 + 13 2.r1 + 7x2 + r3 <8, T1+3x2 +3r3<7, + 4r3 < 6, a1 + 3x2 + 13 9, subject to 201 T1, 12, T3 0
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