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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) A. I B. II C. I and II D. III and IV 10 (155) (250)

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) A. I B. II C. I and II D. III and IV 10 (155) (250)

Advanced Engineering Mathematics
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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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 -10 -20 O A. I B. II C. I and II D. III and IV 20 10 0 -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 -10 -20 O A. I B. II C. I and II D. III and IV 20 10 0 -10 (12) 10 (15.5) (25.0) 40
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