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.

Question

State whether the statement 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.

Answer 1

False.

Minimum value of objective function can also be negative if the coefficient of x or y is negative. So, it is not necessary that minimum value of objective function will be zero.