For the given simplex tableau, (a) list the basic and the nonbasic variables, (b) find the basic feasible solution determined by setting the nonbasic variables equal to 0, and (c) decide whether this is a maximum solution. (a) What are the basic variables? (Use a comma to separate answers as needed.) X₁ X2 X3 S₁ $₂ 7 0 103 o 25 4-3 01 1 0 16 -8-1 0 0 3 1 14
For the given simplex tableau, (a) list the basic and the nonbasic variables, (b) find the basic feasible solution determined by setting the nonbasic variables equal to 0, and (c) decide whether this is a maximum solution. (a) What are the basic variables? (Use a comma to separate answers as needed.) X₁ X2 X3 S₁ $₂ 7 0 103 o 25 4-3 01 1 0 16 -8-1 0 0 3 1 14
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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![### Simplex Tableau Analysis
#### Instructions
For the given simplex tableau, complete the following tasks:
1. List the basic and the nonbasic variables.
2. Find the basic feasible solution determined by setting the nonbasic variables equal to 0.
3. Determine whether this is a maximum solution.
#### Tableau
The simplex tableau provided is as follows:
\[ \begin{array}{c|cccccc|c}
& x_1 & x_2 & x_3 & s_1 & s_2 & z \\
\hline
& 7 & 0 & 1 & 0 & 3 & 0 & 25 \\
& 4 & -3 & 0 & 1 & 1 & 0 & 16 \\
& -8 & -1 & 0 & 0 & -3 & 1 & 14 \\
\end{array} \]
#### Questions
**(a) What are the basic variables?**
- (Use a comma to separate answers as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F132027c3-2ed1-42c8-912e-c4831680baff%2F2d39ff00-db43-40c0-99a6-f46c72c6e8df%2Fmkvdhor_processed.png&w=3840&q=75)
Transcribed Image Text:### Simplex Tableau Analysis
#### Instructions
For the given simplex tableau, complete the following tasks:
1. List the basic and the nonbasic variables.
2. Find the basic feasible solution determined by setting the nonbasic variables equal to 0.
3. Determine whether this is a maximum solution.
#### Tableau
The simplex tableau provided is as follows:
\[ \begin{array}{c|cccccc|c}
& x_1 & x_2 & x_3 & s_1 & s_2 & z \\
\hline
& 7 & 0 & 1 & 0 & 3 & 0 & 25 \\
& 4 & -3 & 0 & 1 & 1 & 0 & 16 \\
& -8 & -1 & 0 & 0 & -3 & 1 & 14 \\
\end{array} \]
#### Questions
**(a) What are the basic variables?**
- (Use a comma to separate answers as needed.)
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