A Linear programming problem has the following three constraints: 30X + 14Y <= 420; 18X + 8Y= 144; and 19X - Y <= 67 . The objective function is Min 22X + 20Y . What combination of X and Y will yield the optimum solution for this problem? a. 0 , 18 b. unbounded problem c. infeasible problem d. 8 , 0 e. 4 , 9

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 135P
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A Linear programming problem has the following three constraints: 30X + 14Y <= 420; 18X + 8Y= 144; and 19X - Y <= 67 . The objective function is Min 22X + 20Y . What combination of X and Y will yield the optimum solution for this problem?
a.
0 , 18
b.
unbounded problem
c.
infeasible problem
d.
8 , 0
e.
4 , 9
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,