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The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2. Max    6x1 + 3x2 s.t.               4x1 + x2 ≤ 400   4x1 + 3x2 ≤ 600   x1 + 2x2 ≤ 300   x1, x2 ≥ 0     (a) 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  -------- (b) 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 -------- (c) Compute the dual value for the first constraint, second constraint & third  constraint

The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2. Max    6x1 + 3x2 s.t.               4x1 + x2 ≤ 400   4x1 + 3x2 ≤ 600   x1 + 2x2 ≤ 300   x1, x2 ≥ 0     (a) 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  -------- (b) 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 -------- (c) Compute the dual value for the first constraint, second constraint & third  constraint

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2.

Max    6x1 + 3x2

s.t.            
  4x1 + x2 ≤ 400
  4x1 + 3x2 ≤ 600
  x1 + 2x2 ≤ 300
  x1, x2 ≥

0

 

 

(a)

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  --------

(b)

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 --------

(c)

Compute the dual value for the first constraint, second constraint & third  constraint

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