Question

For an LPP,
Maximize $Z=ax+by$ where $a,b\in R$
subject to the constraints :
$a_{1}x+b_{1}y\le 0$
$a_{2}x+b_{2}y\le 0$
$x,y\ge 0$,
consider the following statements:
$\left(I\right)$ The solution depends on the optimizing function.
$\left(II\right)$ The solution depends on the constraints.

Which of the following statement(s) is/are correct?

$\left(a\right)$ Only $\left(I\right)$
$\left(b\right)$ Only $\left(II\right)$
$\left(c\right)$ Both $\left(I\right)$ and $\left(II\right)$
$\left(d\right)$ Neither $\left(I\right)$ nor $\left(II\right)$

Answer 1

For an arbitrary LPP, the solution depends upon the values at the corner points of the feasible region (if there is any). So, the solution depends only on the constraints.

So, option $\left(b\right)$ is correct.