An employee receives an hourly rate of $$25,$ with time and a half for all hours worked in excess of $40$ during a week. Payroll data for the current week are as follows: hours worked, $48$; federal income tax withheld, $$350$; cumulative earnings for year prior to current week, $$99,700$; Social Security tax rate, $6\mathrm{.}0\%$ on maximum of $$106,800$; and Medicare tax rate, $1\mathrm{.}5\%$ on all earnings. What is the net pay for the employee?

a$.$ $$872\mathrm{.}77$

b$.$ $$852\mathrm{.}50$

c$.$ $$1,300\mathrm{.}00$

d$.$ $$950\mathrm{.}19$