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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

I need help with this homework question

Consider the following tableau:

\[
\begin{array}{cccccc}
P & x_1 & x_2 & s_1 & s_2 & \text{RHS} \\
\hline
0 & 1 & 0 & 1 & 0 & 7 \\
0 & 1 & -1 & 0 & 1 & 8 \\
\hline
1 & -5 & -4 & 0 & 0 & 0 \\
\end{array}
\]

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 \( x_1 \) in the objective row, you have: [__________]

- Under column \( x_2 \) in the objective row, you have: [__________]

- Under column \( s_1 \) in the objective row, you have: [__________]

- Under column \( s_2 \) in the objective row, you have: [__________]

- Under column \(\text{RHS}\) 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: \[ \begin{array}{cccccc} P & x_1 & x_2 & s_1 & s_2 & \text{RHS} \\ \hline 0 & 1 & 0 & 1 & 0 & 7 \\ 0 & 1 & -1 & 0 & 1 & 8 \\ \hline 1 & -5 & -4 & 0 & 0 & 0 \\ \end{array} \] 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 \( x_1 \) in the objective row, you have: [__________] - Under column \( x_2 \) in the objective row, you have: [__________] - Under column \( s_1 \) in the objective row, you have: [__________] - Under column \( s_2 \) in the objective row, you have: [__________] - Under column \(\text{RHS}\) 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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 36 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,