The management of Nova 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 Nova:

Fabrication Department factory overhead $$360,000$

Assembly Department factory overhead $144,000$

Total $$504,000$

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 $1\mathrm{.}20$ dlh $2\mathrm{.}80$ dlh

Assembly Department $2\mathrm{.}801\mathrm{.}20$

Direct labor hours per unit $4\mathrm{.}00$ dlh $4\mathrm{.}00$ 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 $fill in the blank $1$

$108$

per unit

Diesel engine $fill in the blank $2$

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 $fill in the blank $3$

per unit

Diesel engine $fill in the blank $4$

per unit

c$.$ Recommend to management a product costing approach, based on your analyses in $($a$)$ and $($b$).$

Management should select the

multiple department

factory overhead rate method of allocating overhead costs. The

single plantwide

factory overhead rate method indicates that both products have the same factory overhead per unit. Each product uses the direct labor hours

differently

$.$ Thus, the

multiple department

rate method avoids the cost distortions by accounting for the overhead

in each production department separately

$.$products. However, management is considering the multiple production department factory overhead rate method. The following factory overhead was budgeted for Nova:

Fabrication Department factory overhead

$$360,000$

Assembly Department factory overhead

Total

Direct labor hours were estimated as follows:

Fabrication Department

$3,600$ hours

Assembly Department

$3,600$

Total

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

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 $$1$

$x$ 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

c$.$ Recommend to management a product costing approach, based on your analyses in $($a$)$ and $($b$).$

multiple department $$ rate method avoids the cost distortions by accounting for the overhead in each production department separately $.$

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a$.$ Total budgeted overhead $$ Total labor hours $=$ Department factory overhead rate

Product costs $=$ Department factory overhead rate $x$ Labor hours for each product

b$.$ Department rate $=$ Department Overhead $$ Labor hours

Product allocation $=$ Labor hours per product $x$ Department rate; Add both department allocations together to obtain a total per product.