$8.$ There is a long line $($infinitely long$)$ of families waiting to be served by a government officer who works nonstop, The service time for a family is $(9$minutes$)+(2$minutes$)$ per family member, thus a family of two would take $13$ minutes to be served. Half of the families are small families that is they have exactly two family members each. The other half of the families are large families, that is$,$ they have exactly four family members each. Assume that the first family is small $,$ the second is large, the third is small, the fourth is large and so on $($i$.$e$,$ an alternating pattern of small and large familles$).$ What is the long run processing rate $($le$.,$capacity$)$ of this government officer in persons per hour?

a$)5$

b$)10$

c$)15$

d$)6$

e$)12$

f$)18$

g$)7$

h$)14$

i$)21$