Question

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:

1	Fabrication Department factory overhead	$557,750.00
2	Assembly Department factory overhead	257,550.00
3	Total	$815,300.00

Direct labor hours were estimated as follows:

Fabrication Department	4,850	hours
Assembly Department	5,050
Total	9,900	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	3.1 dlh	2.1 dlh
Assembly Department	2.1	3.1
Direct labor hours per unit	5.2 dlh	5.2 dlh

	Required:
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.*
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.*
c.	(1) Recommend to management a product costing approach, based on your analyses in (a) and (b). (2) Give a reason for your answer.
	*If required, round all per-unit answers to the nearest cent. 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 . If required, round all per-direct labor hours and per-unit answers to the nearest cent. Gasoline engine per unit Diesel engine per unit 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: 1 Fabrication Department factory overhead $557,750.00 2 Assembly Department factory overhead 257,550.00 3 Total $815,300.00 Direct labor hours were estimated as follows: Fabrication Department 4,850 hours Assembly Department 5,050 Total 9,900 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 3.1 dlh 2.1 dlh Assembly Department 2.1 3.1 Direct labor hours per unit 5.2 dlh 5.2 dlh Required: 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.* 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.* c. (1) Recommend to management a product costing approach, based on your analyses in (a) and (b). (2) Give a reason for your answer. *If required, round all per-unit answers to the nearest cent. X Single Plantwide Method 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 . If required, round all per-direct labor hours and per-unit answers to the nearest cent. Gasoline engine per unit Diesel engine per unit X Multiple Production Department Method 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. If required, round all per-unit answers to the nearest cent. Gasoline engine per unit Diesel engine per unit c. (1) Recommend to management a product costing approach, based on your analyses in (a) and (b). (2) Give a reason for your answer. (1) Management should change to the multiple production department factory overhead rate method. Management is indifferent, since either method yields the same result. Management should continue to use the single plantwide overhead rate method. (2) In this case, the multiple production department method causes cost distortion, so the single plantwide method should be used. In this case, the single plantwide method causes cost distortion, so the multiple production department method should be used. In this case, the factory overhead rates for each product are the same under either method; therefore, the company should choose single plantwide method since it’s easier to implement.

Answer 1

Solution Requirement a: Step-1 : Compute the plantwide single overhead rate Budgeted total factory overhead cost Estimated total direct labor hours available $815,300 9900 Plantwide factory overhead rate = Total factory overhead cost Estimated total direct labor hours available $815,300 9900 $82.35 Step-2 : Determine per unit factory overhead cost allocated to each product Diesel Engine Gasoline Engine 5.2 $82.35 $428.22 (i) Total Direct labor hours required per unit (ii) Plantwide single Factory overhead rate (iii) Factory overhead cost per unit (i) x (ii) 5.2 $82.35 $428.22 Gasoline Engine Diesel Engine $428.22 per unit $428.22 per unit Requirement b: Step-1: Compute the multiple production department overhaed rate Fabrication Assembly Department Department (i) Budgeted factory overhead cost (ii) Estimated direct labor hours available (iii) Factory overhead rate for each department {(i) / (ii)} $557,750 4850 $115.00 $257,550 5050 $51.00 Step-2 : Determine per unit factory overhead cost allocated to each product Gasoline Enginel Diesel Engine Fabrication Department (i) Direct labor hours required per unit (ii) Factory overhead rate (iii) Factory overhead per unit (i)(ii) 3.1 $115.00 $356.50 2.1 $115.00 $241.50 2.1 Assembly Department (iv) Direct labor hours required per unit (v) Factory overhead rate (vi) Factory overhead per unit (iv) x (v) $51.00 $107.10 3.1 $51.00 $158.10 (vii) Total factory overhead cost per unit (iii) + (vi) $463.60 $399.60 Gasoline Engine Diesel Engine $463.60 per unit $399.60 per unit Requirement c: Management should change to the multiple production department factory overhead rate method. In this case, the single plantwide method causes cost distortion, so the multiple production department method should be used.