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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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mathamatical of operation research
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a451a57-d5ec-40fe-9c40-0bcfd126b545%2F183db169-db22-4414-a401-79aef21af39c%2F8tee3i_processed.png&w=3840&q=75)
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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