Lighthouse Corporation had actual manufacturing overhead costs for the most recent year of $$30,000.$ Manufacturing overhead is allocated using a predetermined manufacturing overhead rate of $$2\mathrm{.}00$ per direct labor hour. Direct labor cost is $$29\mathrm{.}00$ per hour. At the end of the year, Lighthouse Corporation found it had overallocated manufacturing overhead by $$2,250.$ How many direct labor hours were worked in total during the year? $($Round your answer to the nearest hour.$)$

A$.13,875$

B$.16,125$

C$.4,500$

D$.15,000$