The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2. Max 3x1 + x2 s.t. 4x1 + x2 ≤ 400 4x1 + 3x2 ≤ 600 x1 + 2x2 ≤ 300 x1, x2 ≥ 0 Over what range can the coefficient of x1 vary before the current solution is no longer optimal? (Round your answers to two decimal places.) Compute the dual value for the third constraint.
The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2. Max 3x1 + x2 s.t. 4x1 + x2 ≤ 400 4x1 + 3x2 ≤ 600 x1 + 2x2 ≤ 300 x1, x2 ≥ 0 Over what range can the coefficient of x1 vary before the current solution is no longer optimal? (Round your answers to two decimal places.) Compute the dual value for the third constraint.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 52P
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The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2.
Max 3x1 + x2
s.t. | ||||
4x1 + x2 | ≤ | 400 | ||
4x1 + 3x2 | ≤ | 600 | ||
x1 + 2x2 | ≤ | 300 | ||
x1, x2 | ≥ | 0 |
Over what range can the coefficient of x1 vary before the current solution is no longer optimal? (Round your answers to two decimal places.)
Compute the dual value for the third constraint.
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