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

Question

State whether the statement 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.

Answer 1

False.

Maximum value or minimum value can occur at more than one points. In such all the points lie on a line segment and is part of boundary of the feasible region.