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Pivot once as indicated in the given simplex tableau. Read the solution from the result. Pivot around the highlighted entry. X1 X2 X3 S1 $2 Z 0 0 2 0 0 (Simplify your answers.) X₁ 1 2 - 1 X2 X3 4 4 2 1 -6 -2 S1 0 0 $2 0 0 56 NOOF 1 0 18 0 .... 0

Pivot once as indicated in the given simplex tableau. Read the solution from the result. Pivot around the highlighted entry. X1 X2 X3 S1 $2 Z 0 0 2 0 0 (Simplify your answers.) X₁ 1 2 - 1 X2 X3 4 4 2 1 -6 -2 S1 0 0 $2 0 0 56 NOOF 1 0 18 0 .... 0

Advanced Engineering Mathematics
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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 need all of these please not jusf 5

### Simplex Tableau Analysis #### Initial Tableau: We begin with the following simplex tableau: | | \(x_1\) | \(x_2\) | \(x_3\) | \(s_1\) | \(s_2\) | \(z\) | |-------|--------|--------|--------|--------|--------|------| | 1 | 4 | 4 | 1 | 0 | 0 | 56 | | **2** | 2 | **2** | 1 | 1 | 0 | 18 | | -1 | -6 | -2 | 0 | 0 | 1 | 0 | In this tableau: - \(x_1, x_2, x_3\) are the decision variables. - \(s_1, s_2\) are the slack variables. - \(z\) is the objective function value. #### Pivot Operation: We perform a pivot operation around the highlighted entry, which is \(2\) in the second row and second column: #### Resulting Tableau: After performing the row operations, the updated tableau should simplify to: | | \(x_1\) | \(x_2\) | \(x_3\) | \(s_1\) | \(s_2\) | \(z\) | |-------|--------|--------|--------|--------|--------|------| | x | x | x | x | x | x | x | | **2** | 2 | **2** | 1 | 1 | 0 | 0 | | 0 | 0 | 0 | x | x | x | 1 | However, the detailed row operations and resultant values need to be calculated. #### Final Tableau: The final detailed results after pivoting around the highlighted entry should be derived by the user through the following steps: 1. Divide the pivot row by the pivot element to form the new pivot row. 2. Make all other entries in the pivot column
Transcribed Image Text:### Simplex Tableau Analysis #### Initial Tableau: We begin with the following simplex tableau: | | \(x_1\) | \(x_2\) | \(x_3\) | \(s_1\) | \(s_2\) | \(z\) | |-------|--------|--------|--------|--------|--------|------| | 1 | 4 | 4 | 1 | 0 | 0 | 56 | | **2** | 2 | **2** | 1 | 1 | 0 | 18 | | -1 | -6 | -2 | 0 | 0 | 1 | 0 | In this tableau: - \(x_1, x_2, x_3\) are the decision variables. - \(s_1, s_2\) are the slack variables. - \(z\) is the objective function value. #### Pivot Operation: We perform a pivot operation around the highlighted entry, which is \(2\) in the second row and second column: #### Resulting Tableau: After performing the row operations, the updated tableau should simplify to: | | \(x_1\) | \(x_2\) | \(x_3\) | \(s_1\) | \(s_2\) | \(z\) | |-------|--------|--------|--------|--------|--------|------| | x | x | x | x | x | x | x | | **2** | 2 | **2** | 1 | 1 | 0 | 0 | | 0 | 0 | 0 | x | x | x | 1 | However, the detailed row operations and resultant values need to be calculated. #### Final Tableau: The final detailed results after pivoting around the highlighted entry should be derived by the user through the following steps: 1. Divide the pivot row by the pivot element to form the new pivot row. 2. Make all other entries in the pivot column
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