For the following shaded region the linear constraints are

For the following shaded region the linear constraints are
  1. $5 x+9 y \leq 90, x+y \geq 4, \quad y \geq 8, \quad x, y \geq 0$
  2. $5 x+9 y \geq 90, x+y \leq 4, \quad y \leq 8, \quad x, y \geq 0$
  3. $5 x+9 y \geq 90, x+y \geq 4, \quad y \geq 8, \quad x, y \geq 0$
  4. $5 x+9 y \leq 90, x+y \geq 4, \quad y \leq 8, \quad x, y \geq 0$

Solution

Solution of $5 x+9 y \leq 90$ is origin side, solution of $x+y \geq 4$ is non-origin side and solution of $y \leq 8$ is origin side

Asked in: MHT CET 2020 (13 Oct Shift 2)

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