Angler Industries produces a product which goes through two operations, Assembly and Finishing, before it is ready to be shipped. Next year$$s expected costs and activities are shown below.

Assembly Finishing

Direct labor hours $100,000$ DLH $140,000$ DLH

Machine hours $300,000$ MH $60,000$ MH

Overhead costs $ $300,000$ $ $420,000$

Assume that the Assembly Department allocates overhead based on machine hours, and the Finishing Department allocates overhead based on direct labor hours. How much total overhead will be assigned to a product that requires $1$ direct labor hour and $2\mathrm{.}5$ machine hours in the Assembly Department, and $3\mathrm{.}5$ direct labor hours and $0\mathrm{.}5$ machine hours in the Finishing Department?