### Simplex Tableau Analysis#### InstructionsFor 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.#### TableauThe 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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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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Question

### 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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