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 ≤…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 39E

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Use your schools library, the Internet, or some other reference source to find the real-life applications of constrained optimization.
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maximize subject to ₁ + 2x₂ -₁ + 2x₂ ≤ 4, 1+ 3x2 ≤ 12, 11, 12 20