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.

Question

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.

Philoid · Accepted Answer

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.

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.

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.