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MHT CET · Maths · Linear Programming

For the following shaded region, the linear constraints are

  1. A \(x+2 y \leq 6,5 x+3 y \leq 15, x \leq 7, y \leq 6, x, y \geq 0\)
  2. B \(x+2 y \leq 6,5 x+3 y \geq 15, x \leq 7, y \leq 6, x, y \geq 0\)
  3. C \(x+2 y \geq 6,5 x+3 y \leq 15, x \leq 7, y \leq 6, x, y \geq 0\)
  4. D \(x+2 y \geq 6,5 x+3 y \geq 15, x \leq 7, y \leq 6, x, y \geq 0\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(x+2 y \geq 6,5 x+3 y \geq 15, x \leq 7, y \leq 6, x, y \geq 0\)

Step-by-step Solution

Detailed explanation

The shaded region is represented by
\(x+2 y \geq 6,5 x+3 y \geq 15, x \leq 7, y \leq 6, x, y \geq 0\)