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Spectrum Corp. makes two products: C and D. The following data have been summarized:

Product C Product D

Direct materials cost per unit \( 600 \) 2,400

Direct labor cost per unit 300 200

Indirect manufacturing cost per unit ? ?

Indirect manufacturing cost information includes the following:

Activity Predetermined

Overhead

Allocation Rate Product C Product D

Setup \( 1,500 per setup 35 setups 76 setups

Machine maintenance \) 10 per MHr 1,500 MHr 3,700 MHr

The company plans to manufacture 250 units of each product. Calculate the product cost per unit for Products C and D using activity-based costing.

Step by step solution

01

Per unit product cost for Product C

$$\begin{gathered} \mathbf{setup}\mathbf{}\mathbf{cost}\mathbf{}\mathbf{=}\mathbf{predetermined}\mathbf{}\mathbf{overhead}\mathbf{}\mathbf{allocation}\mathbf{}\mathbf{rate}\mathbf{}\mathbf{×}\mathbf{No}\mathbf{.}\mathbf{of}\mathbf{}\mathbf{setups}\mathbf{} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{1}\mathbf{,}\mathbf{500}\mathbf{×}\mathbf{36} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{52}\mathbf{,}\mathbf{500} \end{gathered}$$

$$\begin{gathered} \mathbf{machine}\mathbf{}\mathbf{maintenance}\mathbf{}\mathbf{cost}\mathbf{}\mathbf{=}\mathbf{predetermined}\mathbf{}\mathbf{overhead}\mathbf{}\mathbf{allocation}\mathbf{}\mathbf{rate}\mathbf{}\mathbf{×}\mathbf{No}\mathbf{.}\mathbf{of}\mathbf{}\mathbf{machine}\mathbf{}\mathbf{hour} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{10}\mathbf{×}\mathbf{1}\mathbf{,}\mathbf{500} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{15}\mathbf{,}\mathbf{000} \end{gathered}$$

$$\begin{gathered} \mathbf{total}\mathbf{}\mathbf{indirect}\mathbf{}\mathbf{}\mathbf{cost}\mathbf{}\mathbf{=}\mathbf{}\mathbf{setup}\mathbf{}\mathbf{cost}\mathbf{}\mathbf{+}\mathbf{machine}\mathbf{}\mathbf{maintenance}\mathbf{}\mathbf{cost} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{50}\mathbf{,}\mathbf{400}\mathbf{+}\mathbf{\$}\mathbf{24}\mathbf{,}\mathbf{700} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{75}\mathbf{,}\mathbf{100} \end{gathered}$$

$$\begin{gathered} \mathbf{Per}\mathbf{}\mathbf{unit}\mathbf{}\mathbf{indirect}\mathbf{}\mathbf{cost}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{total}\mathbf{}\mathbf{indirect}\mathbf{}\mathbf{cost}}{\mathbf{number}\mathbf{}\mathbf{of}\mathbf{}\mathbf{products}\mathbf{}\mathbf{manufactured}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{\$}\mathbf{75}\mathbf{,}\mathbf{100}}{\mathbf{250}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{300}\mathbf{.}\mathbf{4} \end{gathered}$$

02

Per unit product cost for Product D

$$\begin{gathered} \mathbf{setup}\mathbf{}\mathbf{cost}\mathbf{}\mathbf{=}\mathbf{predetermined}\mathbf{}\mathbf{overhead}\mathbf{}\mathbf{allocation}\mathbf{}\mathbf{rate}\mathbf{}\mathbf{×}\mathbf{No}\mathbf{.}\mathbf{of}\mathbf{}\mathbf{setups}\mathbf{} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{1}\mathbf{,}\mathbf{500}\mathbf{×}\mathbf{76} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{1}\mathbf{,}\mathbf{14}\mathbf{,}\mathbf{000} \end{gathered}$$

$$\begin{gathered} \mathbf{machine}\mathbf{}\mathbf{maintenance}\mathbf{}\mathbf{cost}\mathbf{}\mathbf{=}\mathbf{predetermined}\mathbf{}\mathbf{overhead}\mathbf{}\mathbf{allocation}\mathbf{}\mathbf{rate}\mathbf{}\mathbf{×}\mathbf{No}\mathbf{.}\mathbf{of}\mathbf{}\mathbf{machine}\mathbf{}\mathbf{hour} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{10}\mathbf{×}\mathbf{3}\mathbf{,}\mathbf{700} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{37}\mathbf{,}\mathbf{000} \end{gathered}$$

$$\begin{gathered} \mathbf{total}\mathbf{}\mathbf{indirect}\mathbf{}\mathbf{}\mathbf{cost}\mathbf{}\mathbf{=}\mathbf{}\mathbf{setup}\mathbf{}\mathbf{cost}\mathbf{}\mathbf{+}\mathbf{machine}\mathbf{}\mathbf{maintenance}\mathbf{}\mathbf{cost} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{1}\mathbf{,}\mathbf{14}\mathbf{,}\mathbf{000}\mathbf{+}\mathbf{\$}\mathbf{37}\mathbf{,}\mathbf{000} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{1}\mathbf{,}\mathbf{51}\mathbf{,}\mathbf{000} \end{gathered}$$

$$\begin{gathered} \mathbf{Per}\mathbf{}\mathbf{unit}\mathbf{}\mathbf{indirect}\mathbf{}\mathbf{cost}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{total}\mathbf{}\mathbf{indirect}\mathbf{}\mathbf{cost}}{\mathbf{number}\mathbf{}\mathbf{of}\mathbf{}\mathbf{products}\mathbf{}\mathbf{manufactured}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{\$}\mathbf{1}\mathbf{,}\mathbf{51}\mathbf{,}\mathbf{000}}{\mathbf{250}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{604} \end{gathered}$$

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