Consider the given LP: Maximize z = 4x1 + 6x2 + 8x3 Subject to        3x1 + 2x2 + 5x3<= 30        9x1 + 2x2 + 7x3 <= 126        2x1 + 3x2 + x3<= 60        xi>= 0 1-Find the optimal values of Z, x1, x2, x3 by using the simplex method. 3-If the RHS of the constraint 1 is 34 instead of 30, what is the new value of Z?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 78P
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Consider the given LP:

Maximize z = 4x1 + 6x2 + 8x3

Subject to        3x1 + 2x2 + 5x3<= 30

       9x1 + 2x2 + 7x3 <= 126

       2x1 + 3x2 + x3<= 60

       xi>= 0

1-Find the optimal values of Z, x1, x2, x3 by using the simplex method.


3-If the RHS of the constraint 1 is 34 instead of 30, what is the new value of Z?


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