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:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → (C), (D) and (E) Only
$x - 3y ≥ 0, y ≥ 0$
$x ≥ 0$
$x ≤ 6$
| corner points | value of $Z=x+2y$ |
| (0, 0) | Z = 0 → min |
| (6, 0) | Z = 6 |
| (6, 2) | Z = 10 → max |
A. False, its in 1st quadrant
B. False, its bounded
C. True
D. True
E. True