Consider the following all-integer linear program.1x₁ + 1x₂Maxs.t.5x₁ + 6x₂ ≤ 311x₁ + 5×₂ ≤ 152x₁ + 1x₂ ≤ 111X₁, X₂ ≥ 0 and integer (b) Solve the LP Relaxation of this problem.at (x₁, x₂) = ((c) Find the optimal integer solution.> = ( x ₁₂x₁ = 2.27, x₂ = 1.09x2:X1at (x₁, x₂) =!I▬

To find: (a) LP relaxation of the problem. (b) The optimal integer solution. Given: The linear…

Answered: Consider the following all-integer…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 73P

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Consider the following all-integer linear program:max 5x1 + 8x2s.t. 9x1 + 4x2 ≤ 361x1 + 2x2 ≤ 10x1, x2 ≥ 0 and integer.
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Consider the following all-integer linear program. 1x₁ + 1x₂ Max s.t. x1, x2 X₁, X₂ 5x₁ + 6x₂ ≤ 31 1x₁ + 5x₂ ≤ 15 2x₁ + 1x₂ ≤ 11 1 ≥ 0 and integer