Single plantwide factory overhead rate

Gwinnett County Chrome Company manufactures three chrome$-$plated products$-$automobile bumpers, valve covers, and wheels. These products are manufactured in two production departments $($Stamping and Plating$).$ The factory overhead for Gwinnett County Chrome is $$239,200.$

The three products consume both machine hours and direct labor hours in the two production departments as follows:

Direct Labor Machine

Hours

Hours

Stamping Department

$\backslash$table$[[$Automobile bumpers,$590,810],[$Valve covers,$310,570],[$Wheels$,350,620],[1,250,2,000,]]$

Plating Department

Plating Department

$\backslash$table$[[195,1,150],[200,700],[195,750],[590,2,600],[1,840,4,600]]$

Determine the single plantwide factory overhead rate, using each of the following allocation bases: $($a$)$ direct labor hours and $($b$)$ machine hours.

Direct labor hour overhead rate $

$130$

per direct labor hour

Machine hour overhead rate $

$52$

per machine hour

$2.$ Determine the product factory overhead costs, using $($a$)$ the direct labor hour plantwide factory overhead rate and $($b$)$ the machine hour plantwide factory overhead rate.

Automobile Bumpers Valve Covers Wheels

Direct labor hours

Machine hours

$\backslash$table$[[$$$,$$$,$$