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Consider the problem Maximize subject to 2x2 + 3x3 + X 3 < 7 X 3 < -2 Z = X1 - X1 + X2 X1 X 2 3x1 + x 3 5 X1 X 2 X 3 ≥ 0 2 9 a) Using the M technique, determine the starting objective function after substitution of artificial variables. Set up the initial tableau, but do not perform any additional iteration. b) Solve the problem completely by using the Two-Phase Technique

Consider the problem Maximize subject to 2x2 + 3x3 + X 3 < 7 X 3 < -2 Z = X1 - X1 + X2 X1 X 2 3x1 + x 3 5 X1 X 2 X 3 ≥ 0 2 9 a) Using the M technique, determine the starting objective function after substitution of artificial variables. Set up the initial tableau, but do not perform any additional iteration. b) Solve the problem completely by using the Two-Phase Technique

Advanced Engineering Mathematics
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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Consider the problem Maximize subject to Z = X1 2x2 + 3x3 X1 + X 2 + X 3 < 7 X1 - X2 + X 3 < -2 3x1 + x3 5 X1, X 2, X 3 > 0 a) Using the M technique, determine the starting objective function after substitution of artificial variables. Set up the initial tableau, but do not perform any additional iteration. b) Solve the problem completely by using the Two-Phase Technique
Transcribed Image Text:Consider the problem Maximize subject to Z = X1 2x2 + 3x3 X1 + X 2 + X 3 < 7 X1 - X2 + X 3 < -2 3x1 + x3 5 X1, X 2, X 3 > 0 a) Using the M technique, determine the starting objective function after substitution of artificial variables. Set up the initial tableau, but do not perform any additional iteration. b) Solve the problem completely by using the Two-Phase Technique
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