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 $$390,000$

Assembly Department factory overhead $156,000$

Total $$546,000$

Direct labor hours were estimated as follows:

Fabrication Department $3,900$ hours

Assembly Department $3,900$

Total $7,800$ 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 $1\mathrm{.}30$ dlh $2\mathrm{.}70$ dlh

Assembly Department $2\mathrm{.}701\mathrm{.}30$

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 $1$

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

factory overhead rate method of allocating overhead costs. The

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

$.$ Thus, the

rate method avoids the cost d