2. Suppose that we are carrying out the simplex algorithm on a linear program in standard inequality form (with 3 variables and 4 constraints) and suppose that we have reached a point where we have obtained the following tableau. Apply one more pivot operation, indicating the highlighted row and column and the row operations you carry out. What can you conclude from your updated tableau? X1 x2 X3 S1 S2 S3 S4 55 S1 -2 0 1 10 0 0 3 3 0 -20 1 2 0 6 ུཚ་ 1 1 -300 1 0 2 -30 2 0 0 -1 1 4 -20 11 00-40-8

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 2CEXP
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2. Suppose that we are carrying out the simplex algorithm on a linear program in
standard inequality form (with 3 variables and 4 constraints) and suppose that we
have reached a point where we have obtained the following tableau. Apply one more
pivot operation, indicating the highlighted row and column and the row operations
you carry out. What can you conclude from your updated tableau?
X1
x2 X3 S1 S2 S3 S4
55
S1
-2 0
1
10 0
0
3
3
0
-20 1 2
0
6
ུཚ་
1 1
-300
1 0
2
-30 2 0 0
-1
1
4
-20 11
00-40-8
Transcribed Image Text:2. Suppose that we are carrying out the simplex algorithm on a linear program in standard inequality form (with 3 variables and 4 constraints) and suppose that we have reached a point where we have obtained the following tableau. Apply one more pivot operation, indicating the highlighted row and column and the row operations you carry out. What can you conclude from your updated tableau? X1 x2 X3 S1 S2 S3 S4 55 S1 -2 0 1 10 0 0 3 3 0 -20 1 2 0 6 ུཚ་ 1 1 -300 1 0 2 -30 2 0 0 -1 1 4 -20 11 00-40-8
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