For a two variables linear programming problem (LPP), which of the following statement is correct ?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → The maximum or minimum value of the objective function always occurs at a corner point of the bounded feasible region.
By the corner point theorem, if the feasible region of an LPP is bounded, the objective function Z = ax + by has both a maximum and a minimum value, and each of these occurs at a corner (vertex) point of the feasible region.
So the statement in Option (4) is correct.
NCERT (2026-27 edition):
Graphical Method of Solving Linear Programming Problems
