Find the optimal solution of the following linear programing (LP) problem without using the Simplex Algorithm (Hint: Construct the dual model, find its optimal solution without using theSimplex Algorithm and utilize the Complementary Slackness Theorem). (LP): max z= 4x1 + 3x2 + 6x3 Subject to 4x1 + x2 + 3x3 ≤ 30 2x1 + 2x2 + 3x3 ≤ 40 x1, x2, x3 ≥ 0

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 34E
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Find the optimal solution of the following linear programing (LP) problem without using the Simplex Algorithm (Hint:
Construct the dual model, find its optimal solution without using theSimplex Algorithm and utilize the Complementary
Slackness Theorem).
(LP): max z= 4x1 + 3x2 + 6x3
Subject to
4x1 + x2 + 3x3 ≤ 30
2x1 + 2x2 + 3x3 ≤ 40
x1, x2, x3 ≥ 0
Transcribed Image Text:Find the optimal solution of the following linear programing (LP) problem without using the Simplex Algorithm (Hint: Construct the dual model, find its optimal solution without using theSimplex Algorithm and utilize the Complementary Slackness Theorem). (LP): max z= 4x1 + 3x2 + 6x3 Subject to 4x1 + x2 + 3x3 ≤ 30 2x1 + 2x2 + 3x3 ≤ 40 x1, x2, x3 ≥ 0
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