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n the following problem, a minimization problem, the corresponding dual problem, and the final simplex tableau in the solution of the dual problem are given. Minimize C= 15x, + 36x,Maximize P= 12y, + 17y2 subject to 2x, + 5x2 2 12 subject to 2y1 + 3y2 s 15 5y, + 7y2 s 36 Y1. Y2 20 Y, Y2 X1 X2 P 0 1 5 -20 | 3 10 -7 3 0 | 3 0 0 1 3x, + 7x2 2 17 X1, X2 20 2 187 a. Find the optimal solution of the dual problem Maximum of P = Y1 = Y2 = ɔ. Find the optimal solution of the minimization problem. Minimum of C = X = X2 =

n the following problem, a minimization problem, the corresponding dual problem, and the final simplex tableau in the solution of the dual problem are given. Minimize C= 15x, + 36x,Maximize P= 12y, + 17y2 subject to 2x, + 5x2 2 12 subject to 2y1 + 3y2 s 15 5y, + 7y2 s 36 Y1. Y2 20 Y, Y2 X1 X2 P 0 1 5 -20 | 3 10 -7 3 0 | 3 0 0 1 3x, + 7x2 2 17 X1, X2 20 2 187 a. Find the optimal solution of the dual problem Maximum of P = Y1 = Y2 = ɔ. Find the optimal solution of the minimization problem. Minimum of C = X = X2 =

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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In the following problem, a minimization problem, the corresponding dual problem, and the final simplex tableau in the solution of the dual problem are given. Minimize C= 15x, + 36x,Maximize P = 12y, + 17y2 Y1 Y2 X1 X2 P -2 0 3 0| 3 subject to 2x, + 5x2 2 12 subject to 2y, + 3y2 s 15 0 1 3x, + 7x2 2 17 5y1 +7y2 s 36 1 -7 3 X1, X2 20 Y1. Y2 20 0 0 1 1 87 a. Find the optimal solution of the dual problem Maximum of P = Y1 = Y2 = b. Find the optimal solution of the minimization problem. Minimum of C = X1 = X2 = 2.
Transcribed Image Text:In the following problem, a minimization problem, the corresponding dual problem, and the final simplex tableau in the solution of the dual problem are given. Minimize C= 15x, + 36x,Maximize P = 12y, + 17y2 Y1 Y2 X1 X2 P -2 0 3 0| 3 subject to 2x, + 5x2 2 12 subject to 2y, + 3y2 s 15 0 1 3x, + 7x2 2 17 5y1 +7y2 s 36 1 -7 3 X1, X2 20 Y1. Y2 20 0 0 1 1 87 a. Find the optimal solution of the dual problem Maximum of P = Y1 = Y2 = b. Find the optimal solution of the minimization problem. Minimum of C = X1 = X2 = 2.
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