Q85 / 150 · MHT CET 2023 (11 May Shift 1) · Mathematics

For the following shaded area, the linear constraints except $x, y \geq 0$ are Figure

  • A
    $2 x+y \leq 2, x-y \leq 1, x+2 y \leq 8$
  • Correct answer
    B
    $2 x+y \geq 2, x-y \leq 1, x+2 y \leq 8$
  • C
    $2 x+y \geq 2, x-y \geq 1, x+2 y \leq 8$
  • D
    $2 x+y \geq 2, x-y \geq 1, x+2 y \geq 8$

Solution

Shaded region lies on non-origin side of $2 x+y=2$ and on origin side of the lines $x-y=1$ and $x+2 y=8$ $$ \therefore \quad 2 x+y \geq 2, x-y \leq 1, x+2 y \leq 8 $$

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

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