Consider the following Linear Program: max 2x1 + 3x2 +4x3 (1) (2) s.t. X1 + x2 +x3 < 50 X1 + x2 + x3 S 100

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.4: Systems Of Linear Inequalities Linear Programming
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Consider the following Linear Program:
max
2х, + 3xz +4хз
X1 + x2+ x3 < 50
X1 + x2 + x3 S 100
X1, X2, X3 2 0
If I remove constraint (3), what should happen to the optimal objective value?
s.t.
(1)
(2)
(3)
a. None of these.
O b.It gets smaller
O. It stays the same
d. It gets larger
Transcribed Image Text:Consider the following Linear Program: max 2х, + 3xz +4хз X1 + x2+ x3 < 50 X1 + x2 + x3 S 100 X1, X2, X3 2 0 If I remove constraint (3), what should happen to the optimal objective value? s.t. (1) (2) (3) a. None of these. O b.It gets smaller O. It stays the same d. It gets larger
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