тах 2х, + 3x, - хз s.t X1 + 2x2 + x3 = 5 (1) -x1 + x2 + x3 21 (2) X1 + x2 + 2x3 <8 (3) X1 20 (4) X2 2 0 (5)

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.CR: Review Problem Set
Problem 37CR
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тах 2х, + 3xz— Хз
s.t
X1 + 2x2 + x3 = 5 (1)
-x1 +x2 + x3 21 (2)
X1 + x2 + 2x3 < 8 (3)
x1 2 0
(4)
x2 2 0
(5)
d. Could the point (2, 0, 3) be an optimal solution to the linear program?
e. Is the point (2, 0, 3) a basic solution? Justify your answer.
f. Is the point (2, 0, 3) an extreme point? Justify your answer.
g. Is the point (2, 0, 3) degenerate?
Transcribed Image Text:тах 2х, + 3xz— Хз s.t X1 + 2x2 + x3 = 5 (1) -x1 +x2 + x3 21 (2) X1 + x2 + 2x3 < 8 (3) x1 2 0 (4) x2 2 0 (5) d. Could the point (2, 0, 3) be an optimal solution to the linear program? e. Is the point (2, 0, 3) a basic solution? Justify your answer. f. Is the point (2, 0, 3) an extreme point? Justify your answer. g. Is the point (2, 0, 3) degenerate?
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