Determine the pivot column and the pivot element, and perform all the row operations for the entire pivot column to obtain the next new tableau. Once you have the new tableau, look at the numbers you have in the objective 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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following intermediate tableau (not the Initial Simplex tableau):

p x1 x2 s1 s2 RHS
0 1 3/2 1/2 0 3
0 3 7 0 1 12
1 -7 -12 0 0 0

a) Determine the pivot column and the pivot element, and perform all the row operations for the entire pivot column to obtain the next new tableau. Once you have the new tableau, look at the numbers you have in the objective 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:             

Under column    s2 in the objective row, you have: 

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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