The shaded region in the given figure above illustrates an unbounded feasible region. Which of the following is true? I. The maximum value for the objective function does not exist in an unbounded feasible region. II. If the objective function is Min Z=x+y, then it’s maximum is 25 at (25,0). III. If the objective function is Max Z=-x+2y, then it’s minimum is 0 at (25,0). IV. Unbounded feasible regions have either maximum or minimum value. A. I B. II C. I and II D. III and IV
The shaded region in the given figure above illustrates an unbounded feasible region. Which of the following is true? I. The maximum value for the objective function does not exist in an unbounded feasible region. II. If the objective function is Min Z=x+y, then it’s maximum is 25 at (25,0). III. If the objective function is Max Z=-x+2y, then it’s minimum is 0 at (25,0). IV. Unbounded feasible regions have either maximum or minimum value. A. I B. II C. I and II D. III and IV
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
The shaded region in the given figure above illustrates an unbounded feasible
region. Which of the following is true?
I. The maximum value for the objective function does not exist in an unbounded
feasible region.
II. If the objective function is Min Z=x+y, then it’s maximum is 25 at (25,0).
III. If the objective function is Max Z=-x+2y, then it’s minimum is 0 at (25,0).
IV. Unbounded feasible regions have either maximum or minimum value.
A. I
B. II
C. I and II
D. III and IV
Transcribed Image Text:34
(0.24)
20
(8.12)
10
(15 5)
(25 0)
-20
-10
10
10
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