Question

The value of objective function is maximum under linear constraints

Options

• at the centre of feasible region

•  at (0, 0)

•  at any vertex of feasible region

•  the vertex which is maximum distance from (0, 0)

   

Answer 1

 at any vertex of feasible region

In linear programming problem we substitute the coordinates of vertices of feasible region in the objective function and then  we obtain the maximum or minimum value.
Therefore, the value of objective function is maximum under linear constraints at any vertex of feasible region.