With your U ID$,$ here R$1$ and R$2$ are used for following problems, and formed by the rule: R$1$ is the summation of first $4$ digits of your UID $($unit in $k),$ and R$2$ is the summation of Last $4$ digits of your U ID $($unit in $k).$ For example, here one student U number is $U01774042,R_1=0+1+7+7=15k,R_2=4+0+4+2=10k.$

$(30$pts$)$ An common$-$emitter amplifier as shown below with the parameters given: $V_{CC}=15(v),I_C=1(mA),R_B=80k,R_C=R_1,R_{\text{s}\text{i}\text{g}}=R_L=R_2.V_A=90(v),{}_0=90,C_{}=1\mathrm{.}1pF,$ and $f_T=810MHz.$ Determine the mid$-$band gain $A_M$ and upper $3-$dB $f_H.$