Question

Koehler makes handheld calculators in two models: basic and professional. Koehler estimated $721,000 of manufacturing overhead and 515,000 machine hours for the year. The basic model actually consumed 230,000 machine hours, and the professional model consumed 285,000 machine hours.

Compute the predetermined overhead allocation rate using machine hours (MHr) as the allocation base. How much overhead is allocated to the basic model? To the professional model?

Short answer

Predetermined overhead allocation rate: $1.4

Overhead amount for basic model: $322,000

Overhead amount for professional model:$399,000

Step-by-step solution

Calculation of predetermined overhead allocation rate

$$\begin{gathered} \mathbf{Predetermined}\mathbf{}\mathbf{overhead}\mathbf{}\mathbf{allocation}\mathbf{}\mathbf{rate}\mathbf{=}\frac{\mathbf{Total}\mathbf{}\mathbf{estimated}\mathbf{}\mathbf{overhead}}{\mathbf{Total}\mathbf{}\mathbf{estimated}\mathbf{}\mathbf{machine}\mathbf{}\mathbf{hour}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{\$}\mathbf{721}\mathbf{,}\mathbf{000}}{\mathbf{515}\mathbf{,}\mathbf{000}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{1}\mathbf{.}\mathbf{4} \end{gathered}$$

Calculation of overhead for basic and professional model

$$\begin{gathered} \mathbf{Overhead}\mathbf{}\mathbf{amount}\mathbf{}\mathbf{for}\mathbf{}\mathbf{basic}\mathbf{}\mathbf{model}\mathbf{}\mathbf{=}\mathbf{}\mathbf{predetrmined}\mathbf{}\mathbf{overhead}\mathbf{}\mathbf{allocation}\mathbf{}\mathbf{rate}\mathbf{}\mathbf{x}\mathbf{}\mathbf{machine}\mathbf{}\mathbf{hour}\mathbf{}\mathbf{used}\mathbf{} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{by}\mathbf{}\mathbf{basic}\mathbf{}\mathbf{model} \end{gathered}$$

$$\begin{gathered} \mathbf{=}\mathbf{\$}\mathbf{1}\mathbf{.}\mathbf{4}\mathbf{}\mathbf{x}\mathbf{}\mathbf{230}\mathbf{,}\mathbf{00} \\ \mathbf{=}\mathbf{\$}\mathbf{322}\mathbf{,}\mathbf{000} \end{gathered}$$

localid="1654597806848" $$\begin{gathered} \mathbf{Overhead}\mathbf{}\mathbf{amount}\mathbf{}\mathbf{forprofessional}\mathbf{}\mathbf{model}\mathbf{}\mathbf{=}\mathbf{}\mathbf{predetrumined}\mathbf{}\mathbf{overhead}\mathbf{}\mathbf{allocation}\mathbf{}\mathbf{rate}\mathbf{}\mathbf{x}\mathbf{}\mathbf{machine}\mathbf{} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{hour}\mathbf{}\mathbf{used}\mathbf{}\mathbf{by}\mathbf{}\mathbf{}\mathbf{professional}\mathbf{}\mathbf{model}\mathbf{} \end{gathered}$$ $$\begin{gathered} \mathbf{=}\mathbf{\$}\mathbf{1}\mathbf{.}\mathbf{4}\mathbf{\times }\mathbf{285}\mathbf{,}\mathbf{000} \\ \mathbf{=}\mathbf{\$}\mathbf{399}\mathbf{,}\mathbf{000} \end{gathered}$$