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

The correct answer is Option (3) → (C), (D) and (E) only

(C) The constraint $x≥0$ and $y≥0$ are called non-negative constraints, ensuring that decision variables are non-negative.

(D) If the objective function is parallel to a constraint, multiple corner points may yield the same output value.

(E) If the feasible region is bounded, an optimal solution must exist, since there is only finite region to search.