Kaumajet Factory produces two products: table lamps and desk lamps. It has two separate departments: Fabrication and Assembly. The factory overhead budget for the Fabrication Department is $$613,954,$ using $507,400$ direct labor hours. The factory overhead budget for the Assembly Department is $$275,217,$ using $59,700$ direct labor hours.

If a desk lamp requires $2$ hours of fabrication and $5$ hours of assembly, the total amount of factory overhead that Kaumajet Factory will allocate to desk lamps using the multiple production department factory overhead rate method with an allocation base of direct labor hours if $9,800$ units are produced is

a$.$ $$107,560$

b$.$ $$45,178$

c$.$ $$145,956$

d$.$ $$249,606$