In the following problem, a minimization problem, the corresponding duai probiem, and the final simplex tabieau in the solution of the dual problem are given. Minimize C=21x, + 50x2Maximize P= 12y, + 17y2 subject to 2x, + 5x2 2 12 subject to 2y, + 3y2521 5y, + 7y2 5 50 Y1. Y2 20 3x, + 7x2 2 17 X1. X2 20 Y, Y2 X1 X2 P To 1 5-205 10 -7 3 0 3 0 0 1 2 1 121 a. Find the optimal solution of the dual problem Maximum of P= Y = Y2 = b. Find the optimal solution of the minimization problem. Minimum of C= X1 =| X2 =

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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=21x, + 50x, Maximize P= 12y, + 17y2
y, Y2 X, X2 P
0 1 5
10 -7 3 0 3
0 0 1 2
subject to 2x, + 5x2 2 12 subject to 2y, + 3y2 s21
-205
3x, + 7x, 2 17
5y, + 7y2 5 50
X4. X2 20
Y1. Y2 20
1 121
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 =
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=21x, + 50x, Maximize P= 12y, + 17y2 y, Y2 X, X2 P 0 1 5 10 -7 3 0 3 0 0 1 2 subject to 2x, + 5x2 2 12 subject to 2y, + 3y2 s21 -205 3x, + 7x, 2 17 5y, + 7y2 5 50 X4. X2 20 Y1. Y2 20 1 121 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 =
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