Consider the following problem: Maximize 10x, + 24x2 + 20x3 + 20x4 + 25x5 St. X1 + x2 + 2x3+ 3x4 + 5x5 < 19 2x1 + 4x2 + 3x3 + 2x4 + x5 < 57 X1, X2, X3, X4, X5 20 (a) (b) From the graphical solution of the dual found in (a), (w, W2) = (4,5) is a feasible solution and could be the optimal dual solution. i) based on the complementary slackness conditions. ii) Write the dual problem. Use the information in Part (a) and (b) to derive a corresponding primal solution Verify whether the obtained primal and dual solutions are optimal to each problem.

Consider the following problem: Maximize 10x, + 24x2 + 20x3 + 20x4 + 25x5 St. X1 + x2 + 2x3+ 3x4 + 5x5 < 19 2x1 + 4x2 + 3x3 + 2x4 + x5 < 57 X1, X2, X3, X4, X5 20 (a) (b) From the graphical solution of the dual found in (a), (w, W2) = (4,5) is a feasible solution and could be the optimal dual solution. i) based on the complementary slackness conditions. ii) Write the dual problem. Use the information in Part (a) and (b) to derive a corresponding primal solution Verify whether the obtained primal and dual solutions are optimal to each problem.

Name: Consider the following problem:Maximize 10x, + 24x2 + 20x3 + 20x4 + 2
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Description: Consider the following problem:Maximize 10x, + 24x2 + 20x3 + 20x4 + 25x5St.X1 + x2 + 2x3+ 3x4 + 5x5 < 192x1 + 4x2 + 3x3 + 2x4 + x5 < 57X1, X2, X3, X4, X5 20(a)(b) From the graphical solution of the dual found in (a), (w,, W2) = (4,5) is a feasibleso

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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Question

Consider the following problem:
Maximize 10x, + 24x2 + 20x3 + 20x4 + 25x5
St.
X1 + x2 + 2x3+ 3x4 + 5x5 < 19
2x1 + 4x2 + 3x3 + 2x4 + x5 < 57
X1, X2, X3, X4, X5 20
(a)
(b) From the graphical solution of the dual found in (a), (w,, W2) = (4,5) is a feasible
solution and could be the optimal dual solution.
i)
based on the complementary slackness conditions.
ii)
Write the dual problem.
Use the information in Part (a) and (b) to derive a corresponding primal solution
Verify whether the obtained primal and dual solutions are optimal to each
problem.

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