In a linear programming problem, the linear constraints are as follows:

x - 3y ≥ 0, y ≥ 0, 0 ≤ x ≤ 6
where z = x + 2y

Which of the following statement/s is/are correct ?

(A) The feasible region is not the first quadrant
(B) The feasible region is unbounded in the first quadrant
(C) The feasible region is bounded in the first quadrant
(D) The feasible region is a triangular region
(E) The maximum value of z is 10

Choose the correct answer from the options given below:

(C), (D) and (E) Only

The correct answer is Option (4) → (C), (D) and (E) Only

$x - 3y ≥ 0, y ≥ 0$

$x ≥ 0$

$x ≤ 6$

A. False, its in 1st quadrant

B. False, its bounded

C. True

D. True

E. True