I have an exercise that gives me the following transfer function
$$ \frac{0.5}{s+0.5} $$
and an assumed step change in the target of 20
I am asked to calculate the maximum input for the assumed step change.
I know the answer is 500 but can't figure out how to get there. I have seen this which gives me the following but I don't know where to go from there.
$$40\,{\delta }\left(t\right)+20$$