Solve the linear programming problem by the method of corners. Minimize C = 6x + 7y     subject to   4x  +  y  ≥ 42   2x  +  y  ≥ 30   x  +  3y  ≥ 30   x ≥ 0, y ≥ 0   The minimum is C =   at (x, y) =

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 73P
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Solve the linear programming problem by the method of corners.

Minimize C = 6x + 7y    
subject to   4x  +  y  ≥ 42
  2x  +  y  ≥ 30
  x  +  3y  ≥ 30
  x ≥ 0, y ≥ 0  

The minimum is C =  

at (x, y) = 

 
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ISBN:
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Publisher:
Cengage,