  We prove a Johns theorem for simplices in $R^d$ with positive dilation factor
$d+2$, which improves the previously known $d^2$ upper bound. This bound is
tight in view of the $d$ lower bound. Furthermore, we give an example that $d$
isn't the optimal lower bound when $d=2$. Our results answered both questions
regarding Johns theorem for simplices with positive dilation raised by
\cite{leme2020costly}.
