A process has first order dynamics as

$G_p(s)=\frac{0\mathrm{.}9}{12s+1}$

A control system is wanted to be designed with $G_m(s)=0\mathrm{.}5,G_v(s)=2$ and a $P$ controller.

For the performance of control systems there are many performance criteria. One of them is

the short response time. For a response time of $7$min, what must be the controller gain $K_c?$