Jake works as a car salesperson with a minimum wage of $$16$ per hour and earns a $15\%$ commission on the net profit of each car sold. He worked $160$ hours each month in Q$12024$ and made the following sales:

January: no cars sold.

February: $1$ car sold with a net profit of $$1,000.$

March: $3$ cars sold with net profits of $$4,000,$$$6,000,$ and $$3,000.$

Calculate Jake's total earnings for the first quarter of $2024.(10$ points$)$