Question

The following information is provided for Orbit Antenna Corp., which manufactures two products: Lo-Gain antennas and Hi-Gain antennas for use in remote areas.

Activity Cost Allocation Base

Setup \( 58,000 Number of setups

Machine maintenance 30,000 Number of machine hours

Total indirect manufacturing costs \) 88,000

Lo-Gain Hi-Gain Total

Direct labor hours 1,200 3,800 5,000

Number of setups 40 40 80

Number of machine hours 3,000 2,000 5,000

Orbit Antenna plans to produce 125 Lo-Gain antennas and 225 Hi-Gain antennas.

Requirements

1. Compute the indirect manufacturing cost per unit using direct labor hours for the single plantwide predetermined overhead allocation rate.

Short answer

Per unit indirect cost

For Lo-Gain:$168.96

For Hi-Gain: $297.24

Step-by-step solution

Computation of predetermined overhead rate under single plantwide allocation

$$\begin{gathered} \mathbf{predetermined}\mathbf{}\mathbf{overhead}\mathbf{}\mathbf{rate}\mathbf{}\mathbf{=}\frac{\mathbf{total}\mathbf{}\mathbf{indirect}\mathbf{}\mathbf{manufacturing}\mathbf{}\mathbf{cost}}{\mathbf{total}\mathbf{}\mathbf{direct}\mathbf{}\mathbf{labor}\mathbf{}\mathbf{hours}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{\$}\mathbf{88}\mathbf{,}\mathbf{000}}{\mathbf{5}\mathbf{,}\mathbf{000}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{17}\mathbf{.}\mathbf{6} \end{gathered}$$

Computation of per unit indirect cost for Lo-Gain

$$\begin{gathered} \mathbf{per}\mathbf{}\mathbf{unit}\mathbf{}\mathbf{indirect}\mathbf{}\mathbf{cost}\mathbf{}\mathbf{=}\frac{\mathbf{predetermined}\mathbf{}\mathbf{overhead}\mathbf{}\mathbf{rate}\mathbf{\times }\mathbf{no}\mathbf{.}\mathbf{of}\mathbf{}\mathbf{direct}\mathbf{}\mathbf{labor}\mathbf{}\mathbf{hour}\mathbf{}\mathbf{required}\mathbf{}}{\mathbf{no}\mathbf{.}\mathbf{of}\mathbf{}\mathbf{units}\mathbf{}\mathbf{produced}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{\$}\mathbf{17}\mathbf{.}\mathbf{6}\mathbf{\times }\mathbf{1}\mathbf{,}\mathbf{200}}{\mathbf{125}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{\$}\mathbf{21}\mathbf{,}\mathbf{120}}{\mathbf{125}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{168}\mathbf{.}\mathbf{96} \end{gathered}$$

Computation of per unit indirect cost for Hi-Gain

$$\begin{gathered} \mathbf{per}\mathbf{}\mathbf{unit}\mathbf{}\mathbf{indirect}\mathbf{}\mathbf{cost}\mathbf{}\mathbf{=}\frac{\mathbf{predetermined}\mathbf{}\mathbf{overhead}\mathbf{}\mathbf{rate}\mathbf{\times }\mathbf{no}\mathbf{.}\mathbf{of}\mathbf{}\mathbf{direct}\mathbf{}\mathbf{labor}\mathbf{}\mathbf{hour}\mathbf{}\mathbf{required}\mathbf{}}{\mathbf{no}\mathbf{.}\mathbf{of}\mathbf{}\mathbf{units}\mathbf{}\mathbf{produced}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{\$}\mathbf{17}\mathbf{.}\mathbf{6}\mathbf{\times }\mathbf{3}\mathbf{,}\mathbf{800}}{\mathbf{225}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{\$}\mathbf{66}\mathbf{,}\mathbf{880}}{\mathbf{225}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{297}\mathbf{.}\mathbf{24} \end{gathered}$$