Hickory Company manufactures two products$—14,000$ units of Product Y and $6,000$ units of Product Z$.$ The company uses a plantwide overhead rate based on direct labor$-$hours. It is considering implementing an activity$-$based costing $($ABC$)$ system that allocates all $$586,500$ of its manufacturing overhead to four cost pools. The following additional information is available for the company as a whole and for Products Y and Z:

Activity Cost Pool Activity Measure Estimated Overhead Cost Expected Activity

Machining Machine$-$hours $ $195,00010,000$ MHs

Machine setups Number of setups $ $67,500150$ setups

Product design Number of products $ $79,0002$ products

General factory Direct labor$-$hours $ $245,00012,000$ DLHs

Activity Measure Product Y Product Z

Machine$-$hours $6,5003,500$

Number of setups $50100$

Number of products $11$

Direct labor$-$hours $7,5004,500$

$9.$ Using the ABC system, how much total manufacturing overhead cost would be assigned to Product Y$?$

Note: Round all intermediate calculations to $2$ decimal places.