Single Plantwide and Multiple Production Department Factory Overhead Rate Methods and Product Cost Distortion

The management of Firebolt Industries Inc. manufactures gasoline and diesel engines through two production departments, Fabrication and Assembly. Management needs accurate product cost information in order to guide product strategy. Presently, the company uses a single plantwide factory overhead rate for allocating factory overhead to the two products. However, management is considering the multiple production department factory overhead rate method. The following factory overhead was budgeted for Firebolt:

Fabrication Department factory overhead		$648,000
Assembly Department factory overhead		288,000
	Total	$936,000

Direct labor hours were estimated as follows:

Fabrication Department		3,600	hours
Assembly Department		3,600
	Total	7,200	hours

In addition, the direct labor hours (dlh) used to produce a unit of each product in each department were determined from engineering records, as follows:

Production Departments	Gasoline Engine		Diesel Engine
Fabrication Department	1.00	dlh	2.30	dlh
Assembly Department	2.00		0.70
Direct labor hours per unit	3.00	dlh	3.00	dlh

a. Determine the per-unit factory overhead allocated to the gasoline and diesel engines under the single plantwide factory overhead rate method, using direct labor hours as the activity base.

Gasoline engine	$ per unit
Diesel engine	$ per unit

b. Determine the per-unit factory overhead allocated to the gasoline and diesel engines under the multiple production department factory overhead rate method, using direct labor hours as the activity base for each department.

Gasoline engine	$ per unit
Diesel engine	$ per unit