Question #1 Consider the following LP. Maximize Z = 60x1 + 30x2 + 20x3 subject to: 8x1 + 6x2 + X3 5 48 4x1 + 2x2 + 3/2 x3 s 20 2x1 + 3/2 x2 + 1/2 x3 < 8 X1, X2, X3 2 0 1) Write the associated dual problem. 2) Assume the optimal solution for the primal problem is Z= 280 and the basic variable values are S3=24, x3=8 and x1=2. Also, the optimal dual solution is y1=0, y2=10, and y3=10. Answer the following questions: 30 [43 a) Suppose we changed the elements of the column x2 from dose the optimal [2/3] solution remains optimal? justify your answer 15] b) Suppose we add new activity x4 to the problem, and we add of the x4 column 1 to the problem, dose the current basis remains optimal? justify your answer

Question #1 Consider the following LP. Maximize Z = 60x1 + 30x2 + 20x3 subject to: 8x1 + 6x2 + X3 5 48 4x1 + 2x2 + 3/2 x3 s 20 2x1 + 3/2 x2 + 1/2 x3 < 8 X1, X2, X3 2 0 1) Write the associated dual problem. 2) Assume the optimal solution for the primal problem is Z= 280 and the basic variable values are S3=24, x3=8 and x1=2. Also, the optimal dual solution is y1=0, y2=10, and y3=10. Answer the following questions: 30 [43 a) Suppose we changed the elements of the column x2 from dose the optimal [2/3] solution remains optimal? justify your answer 15] b) Suppose we add new activity x4 to the problem, and we add of the x4 column 1 to the problem, dose the current basis remains optimal? justify your answer

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Description: Question #1Consider the following LP.Maximize Z = 60x1 + 30x2 + 20x3subject to:8x1 + 6x2 + X3 S 484x1 + 2x2 + 3/2 x3 < 202x1 + 3/2 x2 + 1/2 x3 < 8X1, X2, X3 2 01) Write the associated dual problem.2) Assume the optimal solution for the primal proble

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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