Question 3: Work through the Simplex method step by step to solve the followingminimization problemMinimize == x₁ - x₂ - 2x3x₁ + 2x₂-x₂ ≤2-2x, +4x₂+2x, ≤62x₁ + 3x₂ + x3 ≤5X1, X₂, X3 20.Compare the solution with the output obtained from LINDO.Subject to

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Answered: Question 3: Work through the Simplex…

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 29 Maximize 2x1 + 4x2 subject to x1 + 3x₂ �� 12 2x1 + x₂ ≤ 14 120 and ₂ > 0 Using simplex method by introducing slack variables 3 and 4, and M = 2x1 + 4x2, now the inequalities are changed to equations x1 + 3x2 + x3 = 12 (1) 2x1 + x₂ + x4 = 14 (2) 2x14x2 M = 0 (3) To bring 1 and 2 into the solution, which one (1 or 2) is firstly brought into the solution and which equation is used as the pivot equation. O1 and (2) O #2 and (3) O2 and (2) O #1 and (1) O2 and (1)
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Question 3: Work through the Simplex method step by step to solve the following minimization problem Subject to Minimize == x₁-x₂2x3 x₁ + 2x₂-x₂ ≤2 -2x, +4x₂+2x, ≤6 2x, +3x₂+x₂ ≤5 X1, X₂, X3 20.