Consider the following linear program: Maximize 30X1 + 10X, Subject to: 3X +X, < 300 X +X, s200 X1s 100 X,2 50 X - X, s 0 X1, X, 2 0 (a) Solve the problem graphically. Is there more than one

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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Consider the following linear program:
Маximize
30X + 10X2
3X +X, < 300
X1 +X, <200
Subject to:
X1s 100
X,2 50
X, - X, s 0
X1, X, 2 0
Solve the problem graphically. Is there more than one
(a)
optimal solution? Explain.
(b)
Are there any redundant constraints?
Transcribed Image Text:Consider the following linear program: Маximize 30X + 10X2 3X +X, < 300 X1 +X, <200 Subject to: X1s 100 X,2 50 X, - X, s 0 X1, X, 2 0 Solve the problem graphically. Is there more than one (a) optimal solution? Explain. (b) Are there any redundant constraints?
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