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Questions  >>  CBSE XII  >>  Math  >>  Linear Programming
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Q)

True or False: If the feasible region for a LPP is unbounded,maximum or minimum of the objective function $Z=ax+by$ may or may not exist

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A)
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  • A feasible region of a system of linear inequalities is said to be bounded if it can be enclosed within a circle.
Step 1:
If the feasible region cannot be enclosed within a circle,then it is said to be unbounded.
Step 2:
If the feasible region for LPP is unbounded,maximum or minimum of the objective function $Z=ax+by$ may or may not exist.
It is a true statement.
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