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:
Answer & explanation
Correct answer: option 3
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.