1. Consider this integer programming problem. Maximize z = 7x₁ + 5x2 subject to: 2x1 − 2x2 ≤ 5 2x1 + x₂ ≤ 8 X1, X2 ≥ 0 x₁ and x₂ integers Solve this problem by the gomory's cutting plane method.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1.
Consider this integer programming problem.
= 7x₁ +5x2
Maximize z =
subject to:
2x12x₂ ≤ 5
2x1 + x₂ ≤ 8
X1, x2 > 0
₁ and 2 integers
Solve this problem by the gomory's cutting plane method.
Transcribed Image Text:1. Consider this integer programming problem. = 7x₁ +5x2 Maximize z = subject to: 2x12x₂ ≤ 5 2x1 + x₂ ≤ 8 X1, x2 > 0 ₁ and 2 integers Solve this problem by the gomory's cutting plane method.
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