If the feasible region of a linear programming problem with ...

CBSE Class 12 Math 2025 All Sets Solved Paper

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If the feasible region of a linear programming problem with objective function Z = ax + by, is bounded, then which of this following is correct?

It will only have a maximum value.
It will only have a minimum value.
It will have both maximum and minimum values.
It will have neither maximum nor minimum value.

Solution:

If the feasible region of a linear programming problem with objective function Z = ax + by, is bounded then it will have both maximum and minimum values and each of these occur at corner point.

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