In a linear programming problem, the binding constraints for the optimal solution are: 2x1 + 25x2 ≤ 74 14x1 + 48x2 ≤ 108 What value from the 2nd constraint can the slope of the objective function not exceed in order for the current optimal solution point to remain optimal? Round your solution to 2 decimal places.
In a linear programming problem, the binding constraints for the optimal solution are: 2x1 + 25x2 ≤ 74 14x1 + 48x2 ≤ 108 What value from the 2nd constraint can the slope of the objective function not exceed in order for the current optimal solution point to remain optimal? Round your solution to 2 decimal places.
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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Question
In a linear programming problem, the binding constraints for the optimal solution are:
2x1 + 25x2 ≤ 74
14x1 + 48x2 ≤ 108
What value from the 2nd constraint can the slope of the objective function not exceed in order for the current optimal solution point to remain optimal? Round your solution to 2 decimal places.
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Expert Solution
Step 1: We write what we have to find out
The value from the second constraint that the slope of the objective function cannot exceed, we need to calculate the shadow price associated with the second constraint
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