For the following shaded region, the linear constraints are

• A

  $x+2 y \leq 6,5 x+3 y \leq 15, x \leq 7, y \leq 6, x, y \geq 0$
• B

  $x+2 y \leq 6,5 x+3 y \geq 15, x \leq 7, y \leq 6, x, y \geq 0$
• C

  $x+2 y \geq 6,5 x+3 y \leq 15, x \leq 7, y \leq 6, x, y \geq 0$
• Correct answer
  D

  $x+2 y \geq 6,5 x+3 y \geq 15, x \leq 7, y \leq 6, x, y \geq 0$

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