Question

Harcourt Pharmaceuticals manufactures an over-the-counter allergy medication. The company sells both large commercial containers of 1,000 capsules to health care facilities and travel packs of 20 capsules to shops in airports, train stations, and hotels. The following information has been developed to determine if an activity-based costing system would be beneficial:

Activity Estimated Estimated Quantity

Indirect Cost Allocation Base of Allocation Base

Materials handling \( 96,000 Number of kilos 24,000 kilos

Packaging 210,000 Number of machine hours 3,000 hours

Quality assurance 114,000 Number of samples 1,900 samples

Total indirect costs \) 420,000

Other production information includes the following:

Commercial Containers Travel Packs

Units produced 2,800 containers 51,000 packs

Weight in kilos 9,800 5,100

Machine hours 1,960 510

Number of samples 560 765

Requirements

3. Use the predetermined overhead allocation rates to compute the activity-based costs per unit of the commercial containers and the travel packs. Round to two decimal places. (Hint: First compute the total activity-based costs allocated to each product line, and then compute the cost per unit.)

Short answer

Activity-based cost per unit

For Commercial Containers: $75

For Travel Packs: $2

Step-by-step solution

Step-by-Step-SolutionStep 1: Computation for Commercial containers

$$\begin{gathered} \mathbf{Material}\mathbf{}\mathbf{Handling}\mathbf{}\mathbf{Cost}\mathbf{=}\mathbf{Predetermined}\mathbf{}\mathbf{overhead}\mathbf{}\mathbf{allocation}\mathbf{}\mathbf{rate}\mathbf{\times }\mathbf{Total}\mathbf{}\mathbf{weights}\mathbf{}\mathbf{of}\mathbf{}\mathbf{commercial}\mathbf{}\mathbf{container} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{4}\mathbf{\times }\mathbf{9}\mathbf{,}\mathbf{800} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{39}\mathbf{,}\mathbf{200} \end{gathered}$$

$$\begin{gathered} \mathbf{Packaging}\mathbf{}\mathbf{Cost}\mathbf{=}\mathbf{Predetermined}\mathbf{}\mathbf{overhead}\mathbf{}\mathbf{allocation}\mathbf{}\mathbf{rate}\mathbf{\times }\mathbf{Total}\mathbf{}\mathbf{machine}\mathbf{}\mathbf{hour}\mathbf{}\mathbf{by}\mathbf{}\mathbf{commercial}\mathbf{}\mathbf{container} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{70}\mathbf{\times }\mathbf{1}\mathbf{,}\mathbf{960} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{137}\mathbf{,}\mathbf{200} \end{gathered}$$

$$\begin{gathered} \mathbf{Quality}\mathbf{}\mathbf{Assurance}\mathbf{}\mathbf{Cost}\mathbf{=}\mathbf{Predetermined}\mathbf{}\mathbf{overhead}\mathbf{}\mathbf{allocation}\mathbf{}\mathbf{rate}\mathbf{\times }\mathbf{Total}\mathbf{}\mathbf{no}\mathbf{.}\mathbf{}\mathbf{of}\mathbf{}\mathbf{samples}\mathbf{}\mathbf{by}\mathbf{}\mathbf{commercial}\mathbf{}\mathbf{container} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{60}\mathbf{\times }\mathbf{560} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{33}\mathbf{,}\mathbf{600} \end{gathered}$$

$$\begin{gathered} \mathbf{Total}\mathbf{}\mathbf{Indirect}\mathbf{}\mathbf{cost}\mathbf{}\mathbf{for}\mathbf{}\mathbf{commercial}\mathbf{}\mathbf{containers}\mathbf{=}\mathbf{Material}\mathbf{}\mathbf{Handling}\mathbf{}\mathbf{Cost}\mathbf{+}\mathbf{Packaging}\mathbf{}\mathbf{Cost}\mathbf{+}\mathbf{Quality}\mathbf{}\mathbf{Assurance}\mathbf{}\mathbf{Cost} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{39}\mathbf{,}\mathbf{200}\mathbf{+}\mathbf{\$}\mathbf{137}\mathbf{,}\mathbf{200}\mathbf{+}\mathbf{33}\mathbf{,}\mathbf{600} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{210}\mathbf{,}\mathbf{000} \end{gathered}$$

$$\begin{gathered} \mathbf{Indirect}\mathbf{}\mathbf{Cost}\mathbf{}\mathbf{per}\mathbf{}\mathbf{unit}\mathbf{=}\frac{\mathbf{Total}\mathbf{}\mathbf{Indirect}\mathbf{}\mathbf{Cost}}{\mathbf{Total}\mathbf{}\mathbf{Units}\mathbf{}\mathbf{Produced}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{\$}\mathbf{210}\mathbf{,}\mathbf{000}}{\mathbf{2}\mathbf{,}\mathbf{800}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{75} \end{gathered}$$

Computation for Travel Packs

$$\begin{gathered} \mathbf{Material}\mathbf{}\mathbf{Handling}\mathbf{}\mathbf{Cost}\mathbf{=}\mathbf{Predetermined}\mathbf{}\mathbf{overhead}\mathbf{}\mathbf{allocation}\mathbf{}\mathbf{rate}\mathbf{\times }\mathbf{Total}\mathbf{}\mathbf{weights}\mathbf{}\mathbf{of}\mathbf{}\mathbf{Tavel}\mathbf{}\mathbf{packs} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{4}\mathbf{\times }\mathbf{5}\mathbf{,}\mathbf{100} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{20}\mathbf{,}\mathbf{400} \end{gathered}$$

$$\begin{gathered} \mathbf{Packaging}\mathbf{}\mathbf{Cost}\mathbf{=}\mathbf{Predetermined}\mathbf{}\mathbf{overhead}\mathbf{}\mathbf{allocation}\mathbf{}\mathbf{rate}\mathbf{\times }\mathbf{Total}\mathbf{}\mathbf{machine}\mathbf{}\mathbf{hour}\mathbf{}\mathbf{byTravel}\mathbf{}\mathbf{Pack} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{70}\mathbf{\times }\mathbf{510} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{35}\mathbf{,}\mathbf{700} \end{gathered}$$

role="math" localid="1653282438531" $$\begin{gathered} \mathbf{Quality}\mathbf{}\mathbf{Assurance}\mathbf{}\mathbf{Cost}\mathbf{=}\mathbf{Predetermined}\mathbf{}\mathbf{overhead}\mathbf{}\mathbf{allocation}\mathbf{}\mathbf{rate}\mathbf{\times }\mathbf{Total}\mathbf{}\mathbf{no}\mathbf{.}\mathbf{}\mathbf{of}\mathbf{}\mathbf{samples}\mathbf{}\mathbf{by}\mathbf{}\mathbf{Travel}\mathbf{}\mathbf{Pack} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{60}\mathbf{\times }\mathbf{765} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{45}\mathbf{,}\mathbf{900} \end{gathered}$$

role="math" localid="1653282681780" $$\begin{gathered} \mathbf{Total}\mathbf{}\mathbf{Indirect}\mathbf{}\mathbf{cost}\mathbf{}\mathbf{for}\mathbf{}\mathbf{commercial}\mathbf{}\mathbf{containers}\mathbf{=}\mathbf{Material}\mathbf{}\mathbf{Handling}\mathbf{}\mathbf{Cost}\mathbf{+}\mathbf{Packaging}\mathbf{}\mathbf{Cost}\mathbf{+}\mathbf{Quality}\mathbf{}\mathbf{Assurance}\mathbf{}\mathbf{Cost} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{20}\mathbf{,}\mathbf{400}\mathbf{+}\mathbf{\$}\mathbf{35}\mathbf{,}\mathbf{700}\mathbf{+}\mathbf{45}\mathbf{,}\mathbf{900} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{1}\mathbf{,}\mathbf{02}\mathbf{,}\mathbf{000} \end{gathered}$$

role="math" localid="1653282859959" $$\begin{gathered} \mathbf{Indirect}\mathbf{}\mathbf{Cost}\mathbf{}\mathbf{per}\mathbf{}\mathbf{unit}\mathbf{=}\frac{\mathbf{Total}\mathbf{}\mathbf{Indirect}\mathbf{}\mathbf{Cost}}{\mathbf{Total}\mathbf{}\mathbf{Units}\mathbf{}\mathbf{Produced}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{\$}\mathbf{102}\mathbf{,}\mathbf{000}}{\mathbf{51}\mathbf{,}\mathbf{000}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{2} \end{gathered}$$