Consider the following statements regarding LPP:

(A) If R is unbounded, then maximum or minimum of the objective function Z must exist

(B) An LPP can not have more than one optimal solution for the decision variables

(C) The condition $x > 0, y > 0$ are called non-nagative restriction on the decision variables

(D) Two different corner points of the feasible region may give same value when put in the objective function

(E) If the feasible region R is bounded then the objective function Z must have some optimal solution

Choose the correct answer from the options given below :

(C), (D) and (E) only