Please help with correct answers in details: step by step Q1 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.) ______ to ______? Over what range can the coefficient of x2 vary before the current solution is no longer optimal? (Round your answers to two decimal places.) _______ to _______? Compute the dual value for the first constraint. _______ Compute the dual value for the second constraint. _______ Compute the dual value for the third constraint. _______
Please help with correct answers in details: step by step Q1 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.) ______ to ______? Over what range can the coefficient of x2 vary before the current solution is no longer optimal? (Round your answers to two decimal places.) _______ to _______? Compute the dual value for the first constraint. _______ Compute the dual value for the second constraint. _______ 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 63P
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Q1 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.)
______ to ______?
Over what range can the coefficient of x2 vary before the current solution is no longer optimal? (Round your answers to two decimal places.)
_______ to _______?
Compute the dual value for the first constraint.
_______
Compute the dual value for the second constraint.
_______
Compute the dual value for the third constraint.
_______
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