For the situation described in Example $7\mathrm{.}2,$ while keeping Ic unchanged at $1$ mA$,$ find the value of Rc

that will result in a voltage gain of $320$ V$/$V$.$ What is the largest negative signal swing allowed at the

output $($assume that vCE is not to decrease below $0\mathrm{.}3$ V$)?$ What $($approximately$)$ is the corresponding

input signal amplitude? $($Assume linear operation.$)$