Consider the following tableau: P 0 0 X2 $1 S2 RHS 1 0 0 1 X1 1 0 1 −1 1 −5 -4 000 a) Determine the pivot column and the pivot element, and perform the necessary row operations to convert the pivot element into 1 and the other numbers in the pivot column to 0. Once you obtain the new tableau this way, look at the numbers you have in the objective row (the bottom row) and enter each one as requested in each box below. Note: Where applicable, fractions must be entered as_2/5,__-1/3, and so on. Under column x₁ in the objective row, you have: Under column ☛2 in the objective row, you have: Under column 8₁ in the objective row, you have: Under column 82 in the objective row, you have: 7 8 Under column RHS in the objective row, you have: b) Given the new tableau that you obtained above, three interpretations are possible. In the box below, type or copy and paste whichever answer shown in boldface letters below that you think is the correct choice. 1. Enter solved if you think you have obtained the final tableau. 2. Enter_ready for another set of pivot operations if you think more pivot operations are possible. 3. Enter no solution if you think the tableau has no solution.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 1T
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Consider the following tableau:
P
0
0
1
X1
X2 $1 S2
1 0 1 0
1
-1 0
1
-5 -4 0 0 0
a) Determine the pivot column and the pivot element, and perform the necessary row operations to
convert the pivot element into 1 and the other numbers in the pivot column to 0. Once you obtain the new
tableau this way, look at the numbers you have in the objective row (the bottom row) and enter each one
as requested in each box below. Note: Where applicable, fractions must be entered as 2/5, -1/3, and
so on.
Under column X1 in the objective row, you have:
Under column x2 in the objective row, you have:
Under column s₁ in the objective row, you have:
RHS
7
8
Under column s2 in the objective row, you have:
III
Under column RHS in the objective row, you have:
b) Given the new tableau that you obtained above, three interpretations are possible. In the box below,
type or copy and paste whichever answer shown in boldface letters below that you think is the correct
choice.
1. Enter solved if you think you have obtained the final tableau.
2. Enter ready for another set of pivot operations if you think more pivot operations are possible.
3. Enter no solution if you think the tableau has no solution.
Transcribed Image Text:Consider the following tableau: P 0 0 1 X1 X2 $1 S2 1 0 1 0 1 -1 0 1 -5 -4 0 0 0 a) Determine the pivot column and the pivot element, and perform the necessary row operations to convert the pivot element into 1 and the other numbers in the pivot column to 0. Once you obtain the new tableau this way, look at the numbers you have in the objective row (the bottom row) and enter each one as requested in each box below. Note: Where applicable, fractions must be entered as 2/5, -1/3, and so on. Under column X1 in the objective row, you have: Under column x2 in the objective row, you have: Under column s₁ in the objective row, you have: RHS 7 8 Under column s2 in the objective row, you have: III Under column RHS in the objective row, you have: b) Given the new tableau that you obtained above, three interpretations are possible. In the box below, type or copy and paste whichever answer shown in boldface letters below that you think is the correct choice. 1. Enter solved if you think you have obtained the final tableau. 2. Enter ready for another set of pivot operations if you think more pivot operations are possible. 3. Enter no solution if you think the tableau has no solution.
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