Which of the following statement is not true? a.) Bounded feasible regions have both a minimum and a maximum value. b.) Unbounded feasible regions have both a minimum and a maximum value. c.) If a feasible region is unbounded, then a maximum value for the objective function does not exist. d.) If a feasible region is unbounded, and the objective function has only positive coefficients, then a minimum value exists.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 40E
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Which of the following statement is not true?

a.) Bounded feasible regions have both a minimum and a maximum value.

b.) Unbounded feasible regions have both a minimum and a maximum value.

c.) If a feasible region is unbounded, then a maximum value for the objective function does not exist.

d.) If a feasible region is unbounded, and the objective function has only positive coefficients, then a minimum value exists.

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