You have decided to buy a used car. The dealer has offered you two options: $($FV of $$1,$ PV of $$1,$ FVA of $$1,$ and PVA of $$1)$

Note: Use the appropriate factor$($s$)$ from the tables provided.

Pay $$610$ per month for $30$ months and an additional $$12,000$ at the end of $30$ months. The dealer is charging an annual interest rate of $24$ percent.

Make a one$-$time payment of $$18,937,$ due when you purchase the car.

Required:

$1-$a$.$ Determine how much cash the dealer would charge in option $($a$).$

Note: Round your intermediate calculations and final answer to $2$ decimal places.

$1-$b$.$ In present value terms, which offer is a better deal?