Which of the following set of constraints represents the feasible region (shaded portion) in the figure given below?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \( x+y\ge 2,\ x+2y\ge 3,\ x,y\ge 0 \)
The shaded region lies on the side of each line away from the origin. At the origin, x + y = 0 < 2 and x + 2y = 0 < 3, so the region satisfies the opposite inequalities:
\( x+y\ge 2 \)
\( x+2y\ge 3 \)
\( x,y\ge 0 \)