Finite Mathematics Pivot on the given entry in the tableau.Row 3, Column 3X1X2X3S1 S2 S3 z1141250-5 -14 -810 -460-1-1-310 -510- 10 -50 -300 1X1X2X3S1S2S3143900-10Additional MaterialsH eBookSubmit AnswerView Previous QuestionQuestion 9 of 20ViewN

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Description: Finite Mathematics Pivot on the given entry in the tableau.Row 3, Column 3X1X2X3S1 S2 S3 z1141250-5 -14 -810 -460-1-1-310 -510- 10 -50 -300 1X1X2X3S1S2S3143900-10Additional MaterialsH eBookSubmit AnswerView Previous QuestionQuestion 9 of 20ViewN

Given that x1 x2 x3 s1 s2 s3 z 6 11 4 1 0 0 0 250 -5 -14 -8 0 1 0 0 -460 -1 -1 -3 0 0 1 0…

Answered: Row 3, Column 3 X1 X2 X3 S1 S2 S3 z 6…

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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Finite Mathematics

Pivot on the given entry in the tableau.
Row 3, Column 3
X1
X2
X3
S1 S2 S3 z
11
4
1
250
-5 -14 -8
1
0 -460
-1
-1
-3
1
0 -510
- 10 -50 -30
0 1
X1
X2
X3
S1
S2
S3
14
3
900
-10
Additional Materials
H eBook
Submit Answer
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Expert Solution

Step 1

Given that

$x_{1}$	$x_{2}$	$x_{3}$	$s_{1}$	$s_{2}$	$s_{3}$	z
6	11	4	1	0	0	0	250
-5	-14	-8	0	1	0	0	-460
-1	-1	-3	0	0	1	0	-510
-10	-50	-30	0	0	0	1	0

Step:-1

Pivot element is -3 (as given that row 3 and column 3 so crossing element is -3) make it 1 by applying row operation $R_{3} \to \frac{R_{3}}{- 3}$ . we get

$x_{1}$	$x_{2}$	$x_{3}$	$s_{1}$	$s_{2}$	$s_{3}$	z
6	11	4	1	0	0	0	250
-5	-14	-8	0	1	0	0	-460
$\frac{1}{3}$	$\frac{1}{3}$	1*	0	0	- $\frac{1}{3}$	0	170
-10	-50	-30	0	0	0	1	0

Step:-2

Here, 1 is pivot element.

Now, make the elements zero, above and below the pivot element.

So applying row operations

$R_{1} \to R_{1} - 4 R_{3}, R_{2} \to R_{2} + 8 R_{3}, R_{4} \to R_{4} + 30 R_{3}$

we get

$x_{1}$	$x_{2}$	$x_{3}$	$s_{1}$	$s_{2}$	$s_{3}$	z
$\frac{14}{3}$	$\frac{29}{3}$	0	1	0	$\frac{4}{3}$	0	-430
$\frac{- 7}{3}$	$\frac{- 34}{3}$	0	0	1	$\frac{- 8}{3}$	0	900
$\frac{1}{3}$	$\frac{1}{3}$	1*	0	0	- $\frac{1}{3}$	0	170
0	-40	0	0	0	-10	1	5100

This is the required table.

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