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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An LP solution always provides a lower bound to an IP minimization problem: O True O False W
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Which one is the optimal solution of given linear programming model? Max Z = X1 + X2 s.t. 8X1 + 6X2 12 X2 2 1 2X2 < 6 X1, X2 0. OA. X1= 9/4, X2 = 1, Max Z-13/4 O B. X1=3/ 2, X2 =1, Max Z-5/2 OC X1=6/8, X2 =3, Max Z-15/4 OD. X1=0, X2 = 3, Max Z=3 Seçimi Sıfırla
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Suppose the following graphical representation of feasible solutions and direction of increasing of criterion fuction? Which point is optimal solution?
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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.
Justify your answer using complementary slackness and if given solution is optimal give the optimal solution to the dual too
Given is a LP model. Max Z = 4 x + 5 y s.t. x + 3 y ≤ 22 − x + y ≤ 4 y ≤ 6 2 x − 5 y ≤ 0 x ≥ 0, y ≥ 0 Plot all constraint equations on the same graph. Shade the Feasible region. Label the corner points of the Feasible region. Solve for decision variables x and y. Solve for Z.

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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