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7) Show that if ties are broken in favor of lower-numbered rows, then cycling occurs when the simplex method is used to solve the following LP: Маx Z -3X1 + X2 - 6X3 Subject to: 9X1 + X2 - 9X3- 2X4 < 0 X + X/3 - 2Xз-X/3 < 0 -9X1 - X2 + 9X3 + 2X4 < 1 X1, X2 X3, X42 0

7) Show that if ties are broken in favor of lower-numbered rows, then cycling occurs when the simplex method is used to solve the following LP: Маx Z -3X1 + X2 - 6X3 Subject to: 9X1 + X2 - 9X3- 2X4 < 0 X + X/3 - 2Xз-X/3 < 0 -9X1 - X2 + 9X3 + 2X4 < 1 X1, X2 X3, X42 0

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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7) Show that if ties are broken in favor of lower-numbered rows, then cycling occurs when the simplex method is used to solve the following LP: Маx Z -3X1 + X2 - 6X3 Subject to: 9X1 + X2 - 9X3 - 2X4 < 0 X1 + X2/3 - 2X3- X4/3 < 0 -9X1 - X2 + 9X3 + 2X4 < 1 X1, X2, X3, X42 0
Transcribed Image Text:7) Show that if ties are broken in favor of lower-numbered rows, then cycling occurs when the simplex method is used to solve the following LP: Маx Z -3X1 + X2 - 6X3 Subject to: 9X1 + X2 - 9X3 - 2X4 < 0 X1 + X2/3 - 2X3- X4/3 < 0 -9X1 - X2 + 9X3 + 2X4 < 1 X1, X2, X3, X42 0
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