Greenwood Company manufactures two products $-15,000$ units of Product $Y$ and $7,000$ 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 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 $Z$ :

$\backslash$table$[[,,\backslash$table$[[$Estimated$],[$Overhead Cost$]],$Expected Activity$],[$Activity Cost Pool,Activity Measure,$$224,400,11,000$ MHs$],[$Machining$,$Machine$-$hours,$$129,600,240$ setups$],[$Machine setups,Number of setups,$$88,000,2$ products$],[$Production design,Number of products,$$254,000,10,000$ DLHs$],[$General factory,Direct labor$-$hours,,$],[,,,]]$

$\backslash$table$[[$Activity Measure,Product Y$,$Product Z$],[$Machining$,8,400,2,600],[$Number of setups,$60,180],[$Number of products,$1,1],[$Direct labor$-$hours,$8,400,1,600]]$

Foundational $4-9($Algo$)$

$9.$ Using the ABC system, how much total manufacturing overhead cost would be assigned to Product $Y?($Round your intermediate calculations to $2$ decimal places. Round your answers to the nearest dollar amount.$)$