The value of objective function is maximum under linear constraints is
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → at one of the corner points of the feasible region
By the corner point theorem of linear programming: if the objective function Z = ax + by has a maximum (or minimum) value on the feasible region, this value occurs at a corner point (vertex) of the feasible region.
The reason is that Z is linear: along any edge of the region its value changes steadily in one direction, so it is largest at an end of an edge, that is, at a corner. When the feasible region is bounded, Z always has a maximum, and it is found by evaluating Z at the corner points only.
NCERT (2026-27 edition):
Graphical Method of Solving Linear Programming Problems
