Question

The Oakman Company (see Short Exercise S19-1) has refined its allocation system by separating manufacturing overhead costs into two cost pools—one for each department. The estimated costs for the Mixing Department, \(510,000, will be allocated based on direct labor hours, and the estimated direct labor hours for the year are 170,000. The estimated costs for the Packaging Department, \)300,000, will be allocated based on machine hours, and the estimated machine hours for the year are 40,000. In October, the company incurred 38,000 direct labor hours in the Mixing Department and 10,000 machine hours in the Packaging Department.

Requirements

1. Compute the predetermined overhead allocation rates. Round to two decimal places.

Short answer

Predetermined allocation rate

For the Mixing department: $3

For the Packing department: $7.5

Step-by-step solution

For the Mixing department

$$\begin{gathered} \mathbf{predetermined}\mathbf{}\mathbf{overhead}\mathbf{}\mathbf{rate}\mathbf{}\mathbf{=}\frac{\mathbf{overhead}\mathbf{}\mathbf{cost}\mathbf{}\mathbf{for}\mathbf{}\mathbf{mixing}\mathbf{}\mathbf{department}}{\mathbf{total}\mathbf{}\mathbf{direct}\mathbf{}\mathbf{labor}\mathbf{}\mathbf{hour}\mathbf{}\mathbf{for}\mathbf{}\mathbf{the}\mathbf{}\mathbf{year}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{\$}\mathbf{510}\mathbf{,}\mathbf{000}}{\mathbf{170}\mathbf{,}\mathbf{000}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{3} \end{gathered}$$

For the Packing department

$$\begin{gathered} \mathbf{predetermined}\mathbf{}\mathbf{overhead}\mathbf{}\mathbf{rate}\mathbf{}\mathbf{=}\frac{\mathbf{overhead}\mathbf{}\mathbf{cost}\mathbf{}\mathbf{for}\mathbf{}\mathbf{packing}\mathbf{}\mathbf{department}}{\mathbf{total}\mathbf{}\mathit{m}\mathit{a}\mathit{c}\mathit{h}\mathit{i}\mathit{n}\mathit{e}\mathbf{}\mathbf{hour}\mathbf{}\mathbf{for}\mathbf{}\mathbf{the}\mathbf{}\mathbf{year}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{\$}\mathbf{300}\mathbf{,}\mathbf{000}}{\mathbf{40}\mathbf{,}\mathbf{000}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{7}\mathbf{.}\mathbf{5} \end{gathered}$$