$8\mathrm{.}34$ Steam at $4800lbf\frac{t}{i}{n}^2,1000F$ enters the first stage of a supercritical reheat cycle including two turbine stages. The steam exiting the first$-$stage turbine at $600lbf\frac{t}{i}n2$ is reheated at constant pressure to $1000F.$ Each turbine stage and the pump has an isentropic efficiency of $85\%.$ The condenser pressure is $1l\frac{b}{i}{n}^2$ If the net power output of the cycle is $100$ MW$,$ determine

$($a$)$ the rate of heat transfer to the working fluid passing through the steam generator, in MW$.$

$($b$)$ the rate of heat transfer from the working fluid passing through the condenser, in MW$.$

$($c$)$ the cycle thermal efficiency.