To help open up a restaurant, Lamar borrowed money from an online lending company. He took out a personal, amortized loan for $$41,500,$ at an interest rate of $6\mathrm{.}1\%,$ with monthly payments for a term of $6$ years.

For each part, do not round any intermediate computations and round your final answers to the nearest cent. If necessary, refer to the list of financial formulas.

$($a$)$ Find Lamar's monthly payment.

$($b$)$ If Lamar pays the monthly payment each month for the full term, find his total amount to repay the loan.

$($c$)$ If Lamar pays the monthly payment each month for the full term, find the total amount of interest he will pay.