CUET · MATHS · PYQ PAPER 2023
Consider the LPP, Min Z = x + 3y subject to the conditions:
\(2 x+y \geq 2\)
\(x+2 y \geq 4\),
\(x \geq 0, y \geq 0\).
Which of the following statement is correct about the feasible region of the above LPP.
- A region is bounded in first quadrant
- B region is unbounded in first quadrant
- C region is bounded in second quadrant
- D region is unbounded in second quadrant
Answer & Solution
Correct Answer
(B) region is unbounded in first quadrant
Step-by-step Solution
Detailed explanation
Constraints \(x \ge 0, y \ge 0\) restrict the feasible region to the first quadrant. The inequalities \(2x+y \ge 2\) and \(x+2y \ge 4\) define a region extending infinitely away from the origin. The region is unbounded in the first quadrant.
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