Don't give handwritten answer.... 1. Consider the problemminimizesubject to2x1 + x242 =x₁ + 2x2 :x1, x2 > 0.=Plot the feasible region. Suppose the current point is x = (2, 1)¹. Definethe corresponding affine scaling (write dual problem), and the transformed(dual) linear program, and plot its feasible region.

Given: The linear programming problem, minimize z=2x1+x2subject to x1+2x2=4…

Answered: 1. Consider the problem minimize…

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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Can you please check if I answered right. I'm still confuse on the logic of it... if you can explain a little.. Thanks!
Minimize subject to C = 13x₁ + 2x2 4x₁ + x₂ ≥ 25 3x1 + x₂ 26 X1, X2 20 C a. Form the dual problem. Maximize P = 25 y₁ +6y₂ subject to 4 y₁ + 3y₂ ≤ 13 Y₁ + 1 y2 ≤ 2 y₁, y₂ 20 b. Find the solution to the original problem by applying the simplex method to the dual problem. Select the correct choice below and fill in any answer boxes within your choice. O Min C = at x₁ and x₂ = O The optimal solution does not exist.

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1. Consider the problem minimize subject to 2 = : 2x1 + x2 x₁ + 2x2 = 4 X1, X2 ≥ 0. Plot the feasible region. Suppose the current point is x = (2, 1)¹. Define the corresponding affine scaling (write dual problem), and the transformed (dual) linear program, and plot its feasible region.