MATHS True False[1 Marks ]

State whether the statements 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.

State whether the statements are True or False:
In a LPP, the maximum value of the objective function Z = ax + by is always finite.

State whether the statements 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.

State whether the statements 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.

Fill in the blanks.
The feasible region for an LPP is always a _________ polygon.