Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Linear Programming

Question:

The feasible region for the set of constraints 2x - 3y ≥ 24, x ≥ 0, y ≥ 0 is:

Options:

Bounded in I quadrant.

Bounded in I and IV quadrants.

Unbounded in I quadrant.

Unbounded in II quadrant.

Correct Answer:

Unbounded in I quadrant.

Explanation:

The correct answer is Option (3) → Unbounded in I quadrant.

$2x - 3y \ge 24,\quad x \ge 0,\ y \ge 0$

$y \le \frac{2x - 24}{3}$

$\text{Region lies in first quadrant and extends infinitely}$

$\text{Unbounded in I quadrant}$