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onsider the following linear program. 15 10 (a) Graph the feasible region for the problem. B O Max s.t. 5 14- 28 -44 +38 S3 14-18 ≤ 4 A, B 20 15 10 M 5 A 6 8 10 12 14 2/4 B c) Find the optimal solution. (A, B) = 4,0 2 4 6 8 10 12 14 A B 15 10 DO 5 2 4 (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 more than one optimal solution occurs 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. O The feasible region is not unbounded. 68 10 12 14 A B 15 10 2 4 6 8 10 10 12 14 A @

onsider the following linear program. 15 10 (a) Graph the feasible region for the problem. B O Max s.t. 5 14- 28 -44 +38 S3 14-18 ≤ 4 A, B 20 15 10 M 5 A 6 8 10 12 14 2/4 B c) Find the optimal solution. (A, B) = 4,0 2 4 6 8 10 12 14 A B 15 10 DO 5 2 4 (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 more than one optimal solution occurs 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. O The feasible region is not unbounded. 68 10 12 14 A B 15 10 2 4 6 8 10 10 12 14 A @

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 35CR: Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.
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Consider the following linear program. 15 10 Max s.t. (a) Graph the feasible region for the problem. B 5 1A 2B -4A + 3B ≤ 3 1A 1B ≤ 4 A, B 2 0 2 4 6 8 (c) Find the optimal solution. (A, B) = | 4, 0 10 12 14 A @O B 15 10 5 2 4 6 8 10 12 14 A B 15 10 O 5 2 4 (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 more than one optimal solution occurs without violating any of the constraints. 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 not unbounded. 6 8 10 12 14 A B 15 10 5 2 /4 6 8 10 12 14 A
Transcribed Image Text:Consider the following linear program. 15 10 Max s.t. (a) Graph the feasible region for the problem. B 5 1A 2B -4A + 3B ≤ 3 1A 1B ≤ 4 A, B 2 0 2 4 6 8 (c) Find the optimal solution. (A, B) = | 4, 0 10 12 14 A @O B 15 10 5 2 4 6 8 10 12 14 A B 15 10 O 5 2 4 (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 more than one optimal solution occurs without violating any of the constraints. 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 not unbounded. 6 8 10 12 14 A B 15 10 5 2 /4 6 8 10 12 14 A
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