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Minimize C=4x1 +9x2 subject to 4x1 +32 2 9x1 + 2x22 X1, X20 a. Form the dual problem. Maximize P=2 y1+2 y2 subject to 4 y1+9 y24 3 y1 + 2 y2 ≤ 9 y1, y220 b. Using the slack variables of X1 and X2, write the initial system for the dual problem. 4 y1+9 y2+x₁ = 4 3 y1+2 y2 + x2 = 9 -2 y₁+-2 y2+P=0 c. Fill in the initial simplex tableau for the dual problem. Y1 Y2 X1 X2 P X1 X2 P L

Minimize C=4x1 +9x2 subject to 4x1 +32 2 9x1 + 2x22 X1, X20 a. Form the dual problem. Maximize P=2 y1+2 y2 subject to 4 y1+9 y24 3 y1 + 2 y2 ≤ 9 y1, y220 b. Using the slack variables of X1 and X2, write the initial system for the dual problem. 4 y1+9 y2+x₁ = 4 3 y1+2 y2 + x2 = 9 -2 y₁+-2 y2+P=0 c. Fill in the initial simplex tableau for the dual problem. Y1 Y2 X1 X2 P X1 X2 P L

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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Minimize C=4x1 +9x2 subject to 4x1 +32 2 9x1 + 2x22 X1, X20 a. Form the dual problem. Maximize P=2 y1+2 y2 subject to 4 y1+9 y24 3 y1 + 2 y2 ≤ 9 y1, y220 b. Using the slack variables of X1 and X2, write the initial system for the dual problem. 4 y1+9 y2+x₁ = 4 3 y1+2 y2 + x2 = 9 -2 y₁+-2 y2+P=0 c. Fill in the initial simplex tableau for the dual problem. Y1 Y2 X1 X2 P X1 X2 P L
Transcribed Image Text:Minimize C=4x1 +9x2 subject to 4x1 +32 2 9x1 + 2x22 X1, X20 a. Form the dual problem. Maximize P=2 y1+2 y2 subject to 4 y1+9 y24 3 y1 + 2 y2 ≤ 9 y1, y220 b. Using the slack variables of X1 and X2, write the initial system for the dual problem. 4 y1+9 y2+x₁ = 4 3 y1+2 y2 + x2 = 9 -2 y₁+-2 y2+P=0 c. Fill in the initial simplex tableau for the dual problem. Y1 Y2 X1 X2 P X1 X2 P L
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