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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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
  x1x2

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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