CUET · MATHS · PYQ PAPER 2023
The region represented by the system of inequalities \(x, y \geq 0 ;-2 x+y \leq 4 ; x+y \geq 3\) and \(x-2 y \leq 2\) is
- A unbounded in first quadrant
- B unbounded in first and second quadrant
- C bounded in first quadrant
- D not feasible
Answer & Solution
Correct Answer
(A) unbounded in first quadrant
Step-by-step Solution
Detailed explanation
The system of inequalities is: \(x \geq 0\) \(y \geq 0\) \(y \leq 2x + 4\) \(y \geq -x + 3\) \(y \geq \frac{1}{2}x - 1\) The conditions \(x \geq 0\) and \(y \geq 0\) restrict the region to the first quadrant. Let's find the vertices of the feasible region: 1. Intersection of…
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