find explicitly the optimal value of LPPminimize x1 + x2 + x3 subject to x1 + 2x2+ 3x3 = b1, x1 - x2 - x3 = b2,in terms of b1 and b2. Find the optimalsolution of the dual problem and checkits relationship to the gradient of theoptimal value of the primal with respectto b1 and b2.

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Answered: find explicitly the optimal value of…

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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find explicitly the optimal value of LPP minimize x1 + x2 + x3 subject to x1 + 2x2 + 3x3 = b1, x1 - x2 - x3 = b2, in terms of b1 and b2. Find the optimal solution of the dual problem and check its relationship to the gradient of the optimal value of the primal with respect to b1 and b2.