The number of corner points of the feasible region of an LPP determined by the constraints \( x-y\ge 0\ ,\ 2y\le x+2,x\ge 0,y\ge 0 \) is
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 2
The first two constraints are \( y\le x \) and \( y\le\frac{x+2}{2} \). Together with \( x,y\ge 0 \), the region lies above the x-axis and below both lines.
The lines y = x and 2y = x + 2 meet where
\( 2x=x+2 \)
\( x=2,\quad y=2 \)
For 0 ≤ x ≤ 2 the region lies under y = x, and for x ≥ 2 it lies under 2y = x + 2. The region is unbounded to the right.
Its corner points are (0, 0) and (2, 2), so there are 2 corner points.