$(1)(30$pts$)$ Assuming that $>>1,$ and $|V_{BE}|=0\mathrm{.}7(V),R_c=(R_1+R_2{)}^{**}0\mathrm{.}8.$ Calculate the dc currents and voltages shown in the circuit below and if $v_{id}(t)=0\mathrm{.}1sin10t(mv),v_o(t)=?$

R$1=15$k R$2=25$k