(a) Consider an optimization problem(i)How are the augmented matrices for a minimization and dual maximizationproblem related? Explain.What is the impact of changing the right-hand side coefficients on the optimalsolution? Explain.(ii)(b) Consider the following initial simplex tableauX1X2X3S1S2S3ВBasic Variables-18.148S1124196S2-2215S3-9-5-2(i)List the objective function and constraints corresponding to the tableau.(ii)To find an improved solution using an iteration of the simplex method, whichentering and departing variables would you select? Explain.

Answered: Image /qna-images/answer/1e013ff6-fe57-401c-b462-50dbe1bec7bb.jpg

Answered: (a) Consider an optimization problem…

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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(a) Consider an optimization problem (i) How are the augmented matrices for a minimization and dual maximization problem related? Explain. What is the impact of changing the right-hand side coefficients on the optimal solution? Explain. (ii)