Roget Factory has budgeted factory overhead for the year at $$4,573,800.$ It plans to produce $2,000,000$ units of product. Budgeted direct labor hours are $363,000,$ and budgeted machine hours are $750,000.$ Using a single plantwide factory overhead rate based on direct labor hours, the factory overhead rate $($rounded to the nearest cent$)$ for the year is

a$.$ $$12\mathrm{.}60$

b$.$ $$6\mathrm{.}30$

c$.$ $$16\mathrm{.}38$

d$.$ $$60\mathrm{.}48$