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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.

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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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.
Transcribed Image Text: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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