CUET · MATHS · PYQ PAPER 2025
A linear programming problem is as follows :
Minimize \(z=2 x+3 y\)
Subject to the constraints \(x \geq 3, x \leq 9, y \geq 0, x-y \geq 0, x+y \leq 14\).
The feasible region has 5 corner points including
- A (0,0) and (9,5)
- B (14,0) and (9,0)
- C (7,7) and (3,3)
- D (3, 6) and (9,5)
Answer & Solution
Correct Answer
(C) (7,7) and (3,3)
Step-by-step Solution
Detailed explanation
Corner points of the feasible region: \(x=3, y=0 \Rightarrow (3,0)\) \(x=3, y=x \Rightarrow (3,3)\) \(x=9, y=0 \Rightarrow (9,0)\) \(x=9, x+y=14 \Rightarrow 9+y=14 \Rightarrow y=5 \Rightarrow (9,5)\)…
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