CUET · MATHS · PYQ PAPER 2025
The constraints of the given shaded feasible region below of an L.P.P., for non-negative variable constraints \(x\) and \(y\) are
- A \(x+y \leq 50,2 x+5 y \leq 200\)
- B \(x+y \geq 50,2 x+5 y \geq 200\)
- C \(x+y \leq 50,2 x+5 y \geq 200\)
- D \(x+y \geq 50,2 x+5 y<200\)
Answer & Solution
Correct Answer
(B) \(x+y \geq 50,2 x+5 y \geq 200\)
Step-by-step Solution
Detailed explanation
Equation of line passing through \((50,0)\) and \((0,50)\) is \(\frac{x}{50} + \frac{y}{50} = 1 \implies x+y = 50\). Equation of line passing through \((100,0)\) and \((0,40)\) is \(\frac{x}{100} + \frac{y}{40} = 1 \implies 2x+5y = 200\). The shaded region is above both lines.…
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