achieve this gain.

$*13\mathrm{.}71.$ The common$-$emitter amplifier in Fig. P$13\mathrm{.}71$ must develop a $5-$V peak$-$to$-$peak sinusoidal signal across the $1-k$ load resistor $R_L.($a$)$ What is the minimum collector current $I_C$ that will satisfy the requirements of small$-$signal operation of the transistor?

$($b$)$ What is the minimum power supply voltage $V_{CC}?$