
Concept explainers
To explain: The statement “An unbounded region will not have both a maximum and minimum value.” is sometimes, always or never true.

Answer to Problem 32HP
The statement is always true.
Explanation of Solution
Given information:
The bounded region in coordinate plane.
Whenever there is an unbounded region formed when a system of inequalities is plotted on Cartesian plane then it is said that either the maximum value of objective function cannot be determined or the minimum value of objective function cannot be determined.
Thus, the statement “An unbounded region will not have both a maximum and minimum value.” is always true.
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