The feasible region determined by the following constraints of a LPP
\( x+y\ge 5 \)
\( y\le 8 \)
\( x\ge 0,y\ge 0 \) is
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → an unbounded region in the first quadrant
\( x\ge 0 \) and \( y\ge 0 \) keep the region in the first quadrant, so no part of it is in the second quadrant.
The region lies on or above the line \( x+y=5 \) and on or below the line \( y=8 \). There is no upper limit on x: for example, (100, 0) satisfies \( x+y\ge 5 \), \( y\le 8 \), \( x\ge 0 \) and \( y\ge 0 \), and so does every point (x, 0) with x ≥ 5.
So the feasible region is an unbounded region in the first quadrant.