Consider the following linear programming problem: Max Z= 15 x₁ + 16 x2 s.t. 20 x₁ + 10 x₂ s 60 X₁ + 2 x₂ s 6 X1, X2 2 0 The constraint lines and optimal solution are illustrated in the following figure: (constraint I) (constraint II)
Consider the following linear programming problem: Max Z= 15 x₁ + 16 x2 s.t. 20 x₁ + 10 x₂ s 60 X₁ + 2 x₂ s 6 X1, X2 2 0 The constraint lines and optimal solution are illustrated in the following figure: (constraint I) (constraint II)
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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![Consider the following linear programming problem:
Max Z= 15 x₁ + 16 X2
s.t. 20 x₁ + 10 x₂ ≤ 60
X₁ + 2x₂ ≤ 6 (constraint II)
X1, X2 ≥ 0
The constraint lines and optimal solution are illustrated in the following figure:
7
6
S
4
3
2
1
O
(constraint I)
0
1
2 3 4
5 6 7 8
-Constraint 1-Constraint 2 Optimal Solution
What is the lower bound of the X₂ coefficient (C₂) in the objective function, that doesn't change the
optimal solution?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86ca274f-9ad3-4b9c-9476-6acd50f2d7ea%2F7dc989f6-375f-4052-9bf0-b5b8ceccaa53%2F3wsaqji_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following linear programming problem:
Max Z= 15 x₁ + 16 X2
s.t. 20 x₁ + 10 x₂ ≤ 60
X₁ + 2x₂ ≤ 6 (constraint II)
X1, X2 ≥ 0
The constraint lines and optimal solution are illustrated in the following figure:
7
6
S
4
3
2
1
O
(constraint I)
0
1
2 3 4
5 6 7 8
-Constraint 1-Constraint 2 Optimal Solution
What is the lower bound of the X₂ coefficient (C₂) in the objective function, that doesn't change the
optimal solution?
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