SUBJECT : OPERATION RESEARCH 1. When problem become unrestricted after changing primal to dual simplex Method justify your statement with valid example. 2. Solve the following problem after finding its dual. Min z =   x1  -  3x2 + 3x3  s.t.      3x1 - x2 + 2 x3   ≤   7     2x1 +    4x2       ≥   -12      -4x1 + 3x2 +   8x3   ≤   10           x1, x2, x3 ≥ 0

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.5: Shortest Path Models
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SUBJECT : OPERATION RESEARCH

1. When problem become unrestricted after changing primal to dual simplex Method justify your statement with valid example.

2. Solve the following problem after finding its dual.

Min z =   x1  -  3x2 + 3x3 

s.t.    

 3x1 - x2 + 2 x3   ≤   7   

 2x1 +    4x     ≥   -12    

 -4x1 + 3x2 +   8x3   ≤   10       

   x1, x2, x3 ≥ 0 

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