The open loop transfer function of a unity feedback control system is given by

\[
\mathrm{G}(s) \mathrm{H}(s)=\frac{\mathrm{K}}{s(s+1)(1+2 s)(1+3 s)}
\]

Determine the value of \(\mathrm{K}\)

(i) for which the system is stable.

(ii) which will cause sustained oscillations in the closed-loop system.