A particular commodity has a price$-$supply equation given by p$=367(1\mathrm{.}033)$x$,$ where x is the number of items of the commodity demanded when the price is p dollars per item.

$($a$)$ Find producers' surplus if the equilibrium quantity is $59$ items. $($Round your answer to the nearest cent if necessary.$)$

$($b$)$ Find producers' surplus if the equilibrium price is $2,538$ dollars. $($Round your answer to the nearest cent if necessary.$)$