Juan, $45$ years old and unmarried, contributed $$1,000$ monthly in $2023$ to the support of his parents' household. The parents lived alone, and their income for $2023$ consisted of $$500$ from dividends and interest. What is Juan's filing status, and how many dependents should he claim on his $2023$ tax return?

a$.$ Head of household and two dependents

b$.$ Head of household and no dependents

c$.$ Single and two dependents

d$.$ Single and no dependents