Consider the following IP problem:Minimize Z = 3x₁ - 2x₂subject to5x₁ - 7x₂ ≥ 3x₁ ≤ 3X₂ ≤3and x₁ ≥ 0, x₂ > 0 are integers.a)Use the MIP branch-and-bound algorithm to solve this model by hand. For eachsubproblem, solve its LP relaxation graphically.

Given Information:Objective function of IP is .Subject to the constraints that,To solve:The IP model…

Answered: Consider the following IP problem:…

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 following IP problem: Minimize Z = 3x₁ - 2x₂ subject to 5x₁7x₂ ≥ 3 x₁ ≤ 3 x₂ ≤3 and x₁ ≥ 0, x₂ ≥ 0 are integers. a) Use the MIP branch-and-bound algorithm to solve this model by hand. For each subproblem, solve its LP relaxation graphically.