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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.

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.

Advanced Engineering Mathematics
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.
Transcribed Image Text: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.
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