Foxx Company estimates that it will incur $$480,000$ overhead costs each year in its three main departments, setup $($$$30,000),$ machining $($$$330,000),$ and packing $($$$120,000).$ The setup department performs $40$ setups per year, the machining department works $5,000$ hours per year, and the packing department packs $500$ orders per year. Information about Foxx's two products and their estimated use of cost drivers is as follows:

$\backslash$table$[[,$Product A$1,$Product B$1],[$Number of setups,$20,20],[$Machining hours,$1,000,4,000],[$Orders packed,$150,350],[$Number of products,$600,400],[$manufactured$,,]]$

If machining hours are used as a base under traditional costing, what amount of overhead is assigned to Product A$1$ each year?