The shaded area in the figure below is the solution set for a Certain Linear Programming problem. The linear…

The shaded area in the figure below is the solution set for a Certain Linear Programming problem. The linear constraints are given by
  1. $3 x+4 y \leq 18,2 x+3 y \geq 3, x-6 y \geq 3,-x+2 y \leq 2, x \geq 0, y \geq 0$
  2. $3 x+4 y \leq 18,2 x+3 y \geq 3, x-6 y \leq 3,-x+2 y \leq 2, x \geq 0, y \geq 0$
  3. $3 x+4 y \leq 18,2 x+3 y \geq 3, x-6 y \geq 3,-x+2 y \geq 2, x \geq 0, y \geq 0$
  4. $3 x+4 y \leq 18,2 x+3 y \leq 3, x-6 y \geq 3,-x+2 y \leq 2, x \geq 0, y \geq 0$

Solution

The shaded region is represented by $3 x+4 y \leq 18,2 x+3 y \geq 3, x-6 y \leq 3,-x+2 y \leq 2, x \geq 0, y \geq 0$

Asked in: MHT CET 2022 (11 Aug Shift 1)

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