CUET · MATHS · PYQ PAPER 2023
The feasible region of an LPP Max Z = 3x + 2y subject to \(x \geq 0, y \geq 0, x -2 y \leq 3\) is:
- A Bounded in first quadrant but has no solution
- B Unbounded in first quadrant but has a solution
- C Unbounded in first quadrant and has no solution
- D Bounded and has a solution x = 0, y = 0, Z = 0
Answer & Solution
Correct Answer
(C) Unbounded in first quadrant and has no solution
Step-by-step Solution
Detailed explanation
The feasible region is defined by \(x \geq 0\), \(y \geq 0\), and \(x - 2y \leq 3\). The constraints \(x \geq 0\) and \(y \geq 0\) restrict the region to the first quadrant. The line \(x - 2y = 3\) passes through \((3, 0)\) and \((0, -1.5)\). The inequality \(x - 2y \leq 3\)…
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