CUET · MATHS · PYQ PAPER 2025
For the L.P.P. Maximize \(z=10 x+6 y\) subjected to
\(3 x+y \leq 12\)
\(2 x+5 y \leq 34\)
\(x, y \geq 0\)
Then the feasible region represented by system of inequalities is
- A Unbounded in first quandrant
- B Bounded in first quadrant
- C Unbounded in second quadrant
- D Not possible (Empty)
Answer & Solution
Correct Answer
(B) Bounded in first quadrant
Step-by-step Solution
Detailed explanation
The system of inequalities \(3x+y \leq 12\), \(2x+5y \leq 34\), \(x \geq 0\), \(y \geq 0\) defines a convex polygon in the first quadrant. The feasible region is bounded in the first quadrant.
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