The initial tableau of a linear programming problem is given. Use the simplex method to solve the problem. x2 X3 2 9 -5 6 -2 6 -10 - 12 X₁ 3 6 3 - 21 S. 1 1 0 0 0 The maximum is when X₁ = (Type integers or simplified fractions.) S2 0 1 0 0 x₂ = 0 0 1 0 Z 0 0 1 60 84 36 0 |‚ X3 = ₁ $₁ = ₁ $₂ =, and S3 = =

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.6: Linear Programming
Problem 4E
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The initial tableau of a linear programming problem is given. Use the simplex method to solve the problem.
X2
X3
S1
S3
2
9
0
5
6
0
- 2
1
- 10
0
X₁
3
6
3
- 21
- 12
0
0
0
S2
0
Z
0
0
60
84
36
The maximum is | when x₁ = ₁x₂ = ₁ x3 = ₁, $₁ = ₁, S₂ =, and $₂ = .
X3
$3
(Type integers or simplified fractions.)
Transcribed Image Text:The initial tableau of a linear programming problem is given. Use the simplex method to solve the problem. X2 X3 S1 S3 2 9 0 5 6 0 - 2 1 - 10 0 X₁ 3 6 3 - 21 - 12 0 0 0 S2 0 Z 0 0 60 84 36 The maximum is | when x₁ = ₁x₂ = ₁ x3 = ₁, $₁ = ₁, S₂ =, and $₂ = . X3 $3 (Type integers or simplified fractions.)
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