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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