Consider the problem Maximize Ζ = 2x1 + 3x2 + 4x3 Subject to 2x1 + 3x2 + 5x3 ≥ 2 3x1 + x2 + 7x3 ≤ 3 x1 + 4x2 + 6x3 ≤ 5 Where x1 , x2 ≥ 0 , x3 unrestricted What is the dual of the above problem? Find the solution of the primal problem by solving its dual.

Consider the problem Maximize Ζ = 2x1 + 3x2 + 4x3 Subject to 2x1 + 3x2 + 5x3 ≥ 2 3x1 + x2 + 7x3 ≤ 3 x1 + 4x2 + 6x3 ≤ 5 Where x1 , x2 ≥ 0 , x3 unrestricted What is the dual of the above problem? Find the solution of the primal problem by solving its dual.

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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Question

Consider the problem Maximize Ζ = 2x₁ + 3x₂ + 4x₃

Subject to 2_x1+ 3_x2 + 5_x3 ≥ 2

3_x1 + x₂ + 7_x3 ≤ 3

x₁ + 4_x2+ 6_x3 ≤ 5

Where x1 , x2 ≥ 0 , x3 unrestricted

What is the dual of the above problem?
Find the solution of the primal problem by solving its dual.

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