Which of the following statements regarding L.P.P are correct ?

A. An LPP can have no solution or more than one optimal solution.

B. The condition $x≥0, y ≥ 0$ are called non-negative restriction on the decision variables.

C. If the feasible region R, is bounded than the  objective function Z has maximum and minimum value outside R.

D. If R is unbounded, then maximum or minimum value of objective function Z must exist.

E. The corner points of the feasible region always give different values for different points when put in the objective function.

Choose the correct answer from the options given below :

A and B only

The correct answer is Option (3) → A and B only

(A) An LLP can have no solution (in feasible region) or multiple optimal solutions (when the objective function is parallel to a constraint boundary in the feasible region).

(B) The constraint $x≥0$ and $y≥0$ ensure that decision variables cannot take negative values, which is a non-negative restriction.