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)

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Chapter2: Second-order Linear Odes
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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?
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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