Which of the following investment options will maximize your future wealth at the end of $17$ years? Assume

any funds that remain invested will earn a nominal rate of $12\%$ compounded monthly.

$($a$)$ Deposit $$5,400$ now.

$($b$)$ Deposit $$55$ at the end of each month for the first $12$ years.

$($c$)$ Deposit $$25$ at the end of each month for $17$ years.

$($d$)$ Deposit a lump sum in the amount of $$16,200$ at the end of year $12.$