Q42 of 45 Page 250

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.

True.

If the feasible region is unbounded then we may or may not have a maximum or minimum of objective function, but if we have a maximum or a minimum value then it must be at one of the corner points only.


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40

Fill in the blanks in each of the Exercise.

A corner point of a feasible region is a point in the region which is the _________ of two boundary lines.

 41

Fill in the blanks in each of the Exercise.

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

 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.