The number of corner points of the feasible region determined by the constraints: \( x\ge 0,\ y\ge 0,\ x+y\ge 8 \) is
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 2
The boundary lines x = 0, y = 0 and x + y = 8 meet at (0, 8), (8, 0) and (0, 0).
The origin fails \( x+y\ge 8 \), since \( 0+0\lt 8 \), so it is not a corner point of the feasible region.
The feasible region is unbounded, with corner points (0, 8) and (8, 0): 2 corner points.
Tip: An intersection of boundary lines is a corner point only if it satisfies every constraint; counting the origin here gives the wrong answer 3.