The region represented by the inequations $2 x+3 y \leqslant 18, x+y \geqslant 10, x \geqslant 0, y…

The region represented by the inequations $2 x+3 y \leqslant 18, x+y \geqslant 10, x \geqslant 0, y \geqslant 0$ is
  1. unbounded
  2. bounded region, but not a singleton set
  3. singleton set
  4. null set

Solution


Feasible region lies on the origin side of . $2 x+3 y=18$ and non-origin side of $x+y=10$. $\therefore \quad$ Feasible region is a null set.

Asked in: MHT CET 2024 (15 May Shift 1)

Practice more Linear Programming questions on Aicharya