Johnny wants to save some money for his daughter Alexis's education. Tuition costs $$12,500$ per year in today's dollars. Alexis was born today and will go to school starting at age $18.$ She will go to school for $4$ years. Johnny can earn $11\%$ on his investments and tuition inflation is $7\%.$ How much must Johnny save at the end of each year, if he wants to make his last savings payment at the beginning of his daughter's first year of college?

a$.$ $$2,694\mathrm{.}56.$

b$.$ $$2,789\mathrm{.}04,x$

c$.$ $$2,861\mathrm{.}65.$

d$.$ $$3,176,43.$