Pallette Manufacturing received an invoice dated May $29$ with terms $1/15,$ n$/30.$ The amount stated on the invoice was $$2507\mathrm{.}00.$

$($a$)$ What is the last day for taking the cash discount?

$($b$)$ What is the amount due if the invoice is paid on the last day for taking the discount?

$($a$)$ The last day to take the cash discount is

$($b$)$ The amount due is $ $($Round to the nearest cent as needed.$)$