Q41 / 60 · IAT (IISER) 2023 · Mathematics

Consider the objective function
$Z=x-y$
subject to the constraints:
$\begin{aligned} & x+2 y \leq 10 \\ & x+y \geq 2 \\ & x \geq 0, y \geq 0\end{aligned}$
What is the minimum value of $Z$ subject to the above constraints?

  • Correct answer
    A
    $-5$
  • B
    $-2$
  • C
    $2$
  • D
    $-10$

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