It costs Homer's Manufacturing $$0\mathrm{.}55$ to produce baseballs and Homer sells them for $$9$ apiece. Homer pays a sales commission of $5\%$ of sales revenue to his sales staff. Homer also pays $$15,000$ a month rent for his factory and store, and also pays $$81,000$ a month to his staff in addition to the commissions. Homer sold $67,500$ baseballs in June. If Homer prepares a traditional income statement for the month of June, what would be his gross profit?

A$.$ $$37,125$

B$.$ $$474,375$

C$.$ $$570,375$

D$.$ $$607,500$