please can you help with the following question with alternative working out thanks a lot maximizesubject to₁ +2%2-₁ + 2x₂ ≤ 4,1+ 3x2 ≤ 12,I1, I2 20 For each of the following linear programs:(1) Sketch the feasible region of the linear program and the direction of the objec-tive function.(2) Use you sketch to find an optimal solution to the program. State the optimalsolution and give the objective value for this solution. If an optimal solutiondoes not exist, state why.

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Answered: maximize subject to ₁ + 2x₂ -₁ + 2x₂ ≤…

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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maximize subject to ₁ + 2x₂ -₁ + 2x₂ ≤ 4, 1+ 3x2 ≤ 12, 11, 12 20