Q68 / 150 · MHT CET 2022 (10 Aug Shift 2) · Mathematics

The feasible region represented by the inequations $2 x+3 y \leq 18$, $x+y^3 10, x \geq 0, y \geq 0$ is

  • A
    a finite set.
  • B
    unbounded.
  • C
    bounded.
  • Correct answer
    D
    an empty set.

Solution

$2 x+3 y \leq 18, x+y \geq 10, x \geq 0, y \geq 0$ Feasible region is an empty set Figure

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

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