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Consider the following linear program. 1A-28 15 (a) Graph the feasible region for the problem. B 10 O Max s.t. 5 -4A + 3B ≤ 3 14-18 s 5 A, B 20 2 4 (A, B)= 6 8 10 12 14 (c) Find the optimal solution. A B 15 10 O 5 2 4 6 8 10 12 14 A (d) Does an unbounded feasible region imply that the optimal solution to the linear program will be unbounded? O Yes O No B 15 10 DO 5 (b) Is the feasible region unbounded? Explain. O The feasible region is unbounded because the value of the solution may be made infinitely large without violating any of the constraints. 2 O The feasible region is unbounded because the solution coordinates may be made infinitely large without violating any of the constraints. O The feasible region is unbounded because the value of the solution violates at least one of the constraints. O The feasible region is unbounded because more than one optimal solution occurs without violating any of the constraints. O The feasible region is not unbounded. 4 6 8 10 12 14 A 60 B 15 10 5 2 6 8 10 12 14 A O

Consider the following linear program. 1A-28 15 (a) Graph the feasible region for the problem. B 10 O Max s.t. 5 -4A + 3B ≤ 3 14-18 s 5 A, B 20 2 4 (A, B)= 6 8 10 12 14 (c) Find the optimal solution. A B 15 10 O 5 2 4 6 8 10 12 14 A (d) Does an unbounded feasible region imply that the optimal solution to the linear program will be unbounded? O Yes O No B 15 10 DO 5 (b) Is the feasible region unbounded? Explain. O The feasible region is unbounded because the value of the solution may be made infinitely large without violating any of the constraints. 2 O The feasible region is unbounded because the solution coordinates may be made infinitely large without violating any of the constraints. O The feasible region is unbounded because the value of the solution violates at least one of the constraints. O The feasible region is unbounded because more than one optimal solution occurs without violating any of the constraints. O The feasible region is not unbounded. 4 6 8 10 12 14 A 60 B 15 10 5 2 6 8 10 12 14 A O

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Consider the following linear program. 15 -4A + 3B ≤ 3 1A 1B ≤ 5 A, B 2 0 (a) Graph the feasible region for the problem. B 10 Max s.t. 5 1A - 2B 2 6 8 10 12 14 A (c) Find the optimal solution. (A, B) = B 15 10 2 6 8 10 12 14 A B (d) Does an unbounded feasible region imply that the optimal solution to the linear program will be unbounded? O Yes O No 15 10 O The feasible region is unbounded because more than one optimal solution occurs without violating any of the constraints. O The feasible region is not unbounded. (b) Is the feasible region unbounded? Explain. O The feasible region is unbounded because the value of the solution may be made infinitely large without violating any of the constraints. O The feasible region is unbounded because the solution coordinates may be made infinitely large without violating any of the constraints. O The feasible region is unbounded because the value of the solution violates at least one of the constraints. 2 4 6 8 10 12 14 A DO B 15 10 5 2 6 8 10 12 14 A
Transcribed Image Text:Consider the following linear program. 15 -4A + 3B ≤ 3 1A 1B ≤ 5 A, B 2 0 (a) Graph the feasible region for the problem. B 10 Max s.t. 5 1A - 2B 2 6 8 10 12 14 A (c) Find the optimal solution. (A, B) = B 15 10 2 6 8 10 12 14 A B (d) Does an unbounded feasible region imply that the optimal solution to the linear program will be unbounded? O Yes O No 15 10 O The feasible region is unbounded because more than one optimal solution occurs without violating any of the constraints. O The feasible region is not unbounded. (b) Is the feasible region unbounded? Explain. O The feasible region is unbounded because the value of the solution may be made infinitely large without violating any of the constraints. O The feasible region is unbounded because the solution coordinates may be made infinitely large without violating any of the constraints. O The feasible region is unbounded because the value of the solution violates at least one of the constraints. 2 4 6 8 10 12 14 A DO B 15 10 5 2 6 8 10 12 14 A
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