A company makes two products$-$Product A and B$.$ Data regarding the two products follow:

$\backslash$table$[[,\backslash$table$[[$Direct Labor$-],[$Hours per Unit$]],\backslash$table$[[$Annual$],[$Production$]]],[$Product A$,0\mathrm{.}75,20,000$ units$],[$Product B$,0\mathrm{.}50,50,000$ units$]]$

Additional information is as follows:

a$.$ Product A requires $$40$ in direct materials per unit, and Product $B$ requires $$32.$

b$.$ The direct labor wage rate is $$18$ per hour.

c$.$ The company's activity$-$based costing system has the following activity cost pools:

$\backslash$table$[[,$Estimated,Expected Activity$],[$Activity Cost Pool $($and Activity Measures$),0$verhead Cost,Product A$,$Product B$,$Total$],[$Machine setups $($number of setups$),$$$100,000,100,300,400],[$Special processing $($machine$-$hours$),$$$200,000,2,000,6,000,8,000],[$General factory $($Direct labor$-$hours$),$$$150,000,15,000,25,000,40,000]]$

Using activity$-$based costing, how much total overhead cost is assigned to Product A$?$