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CUET · MATHS · PYQ PAPER 2025

Which of the region shown in the given figures represents the feasible region bounded by the following constraint?
\(4 x+y \geq 80,2 x+y \geq 60, x+y \leq 80, x \geq 0, y \geq 0\)
image

  1. A region A
  2. B region B
  3. C region C
  4. D region D
Verified Solution

Answer & Solution

Correct Answer

(A) region A

Step-by-step Solution

Detailed explanation

The feasible region must satisfy: \(4x+y \geq 80\): above or to the right of the line through \((20,0)\) and \((0,80)\). \(2x+y \geq 60\): above or to the right of the line through \((30,0)\) and \((0,60)\). \(x+y \leq 80\): below or to the left of the line through \((80,0)\)…
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