7. What will happen if we add the constraint: (a) x₁ + x₂ + x3 ≤ 9 (b) 2x1 + x3 ≤ 6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 47E
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Linear Programming please help
7. What will happen if we add the constraint:
(a)
x1 + x₂ + x3 ≤ 9
(b)
2x1 + x3 ≤ 6
Transcribed Image Text:7. What will happen if we add the constraint: (a) x1 + x₂ + x3 ≤ 9 (b) 2x1 + x3 ≤ 6
Consider the primal LP problem given below:
The optimal tableau is given by:
Basic Variables
2
$1
X1
X2
subject to:
X1
0
0
1
0
X2
0
0
0
1
Max z 3x1 + 2x2 + 2x3
2x1 + x2 + 2x3 ≤ 15
2x1 + x2 + x3 ≤ 12
x₁ + x₂ + 2x3 ≤ 8
X1, X2, X30
X3
-2
1
-1
3
$1
0
1
0
0
$2
-1
-1
1
-1
S3
-1
0
-1
2
RHS
20
3
4
4
Transcribed Image Text:Consider the primal LP problem given below: The optimal tableau is given by: Basic Variables 2 $1 X1 X2 subject to: X1 0 0 1 0 X2 0 0 0 1 Max z 3x1 + 2x2 + 2x3 2x1 + x2 + 2x3 ≤ 15 2x1 + x2 + x3 ≤ 12 x₁ + x₂ + 2x3 ≤ 8 X1, X2, X30 X3 -2 1 -1 3 $1 0 1 0 0 $2 -1 -1 1 -1 S3 -1 0 -1 2 RHS 20 3 4 4
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