Justify answer using complementary slackness and if given solution is optimal give the optimal solution to the dual aswell. Determine whether x= (0, 2, ) is an optimal solution to the following linearprogram.maximise En + £2 + 132.r1 + 7x2 + r3 <8,T1+3x2 +3r3<7,+ 4r3 < 6,a1 + 3x2 + 13 9,subject to201T1, 12, T3 0

We are given a linear programming problem stated as a tabular form follows. MAX x = 0.5 x1…

Answered: Determine whether xT= (0,, ) is an…

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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Need only a handwritten solution only (not a typed one).
Find the optimal solution: Zmax = 8x1 + 7x2 Subject to: 3x1 + X2 s 66 X1 + X2 s 45 X1 s 20, x2 s 40 X1, X2 2 0
Convert the given i-system to an e-system using slack variables. Then construct a table of all basic solutions of the e-system. For each basic solution, indicate whether or not it is feasible. ed: cor 5: estion Jestion uestion Question X₁ + X₂ ≤ 8 Xy + 5xs 20 X₁, X₂ ≥ 0 Review is course (MATH Help me solve this Video Get more help - COD Write the associated linear equation for the inec as the slack variable. (Type an equation. Do not factor.) Clear all Check ans
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Point A// For the following LP model, determine the optimal solution using the .simplex method Max 50x₁ + 40x2 s.t. Assembly time Portable display Warehouse capacity 3x₁ + 5x₂ 150 1x₂20 8x₁ + 5x₂ ≤ 300 X₁, X₂ ≥ 0
• Consider the following LP: maximize 2x1 + 5x2 s.t. -x1 + 2x2 < 5 2x1 + 3x2 < 12 X1 + x2 2 -1 X1, X2 2 0 1. Write the dual problem. 2. Solve the optimal solution for the primal problem. 3. Find the optimal dual solutions by complementary slackness.
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Determine whether xT= (0,, ) is an optimal solution to the following linear 5. program. maximise rı + x2 + T3 2.x1 + 7x2+ x38, a1+3x2 +3x3 7, + 4r3 <6, T1+3x2 + 139, subject to 2x1 T1, 12, T3 0