Q45 of 45 Page 250

State whether the statements in Exercise are True or False.

In a LPP, the maximum value of the objective function Z = ax + by is always finite.

False.

In a LPP, the maximum value of the objective function Z = ax + by may or may not be finite. It depends on the feasible region.


If feasible region is unbounded then we can also have infinite maximum value of objective function.


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41

Fill in the blanks in each of the Exercise.

The feasible region for an LPP is always a _________ polygon.

 42

State whether the statements in Exercise are 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.

 43

State whether the statements in Exercise are True or False.

Maximum value of the objective function Z = ax + by in a LPP always occurs at only one corner point of the feasible region.

 44

State whether the statements in Exercise are True or False.

In a LPP, the minimum value of the objective function Z = ax + by is always 0 if origin is one of the corner point of the feasible region.