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

• A

  unbounded
• B

  bounded region, but not a singleton set
• C

  singleton set
• Correct answer
  D

  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.

Hence, the correct answer is option: 'D'.