29-30. The shaded region in the given figure above illustrates an unbounded feasible region. Which of the following is true? 1. 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 O at (25,0). IV. Unbounded feasible regions have either maximum or minimum value. (0.24) 50 -20 -10 A. I B. II C. I and II D. III and IV 10 0 -10 (8.12) 10 (15,5) (25:0) 40

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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29-30. The shaded region in the given figure above illustrates an unbounded
feasible region. Which of the following is true? 1. 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 O at (25,0). IV. Unbounded
feasible regions have either maximum or minimum value.
(0.24)
50
-20
-10
A. I
B. II
C. I and II
D. III and IV
10
.
-10
(12)
10
(15,5)
(25.0)
40
Transcribed Image Text:29-30. The shaded region in the given figure above illustrates an unbounded feasible region. Which of the following is true? 1. 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 O at (25,0). IV. Unbounded feasible regions have either maximum or minimum value. (0.24) 50 -20 -10 A. I B. II C. I and II D. III and IV 10 . -10 (12) 10 (15,5) (25.0) 40
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