Micron limited manufactures three types of drugs namely Apax, Bex, Cox and Dos using the same processing plant. The following information relates to the company:
Product Apax Bex Cox Dos
Units produced 2,000 20,000 2,400 28,000
Material cost per unit (Ksh) 20 20 64 68
Labour hours per unit 2 2 8 6
Machine hours per unit 1 1 4 6
Labour cost per unit (Ksh) 12 12 48 36
The cost accountant analysed the production overheads recorded under the following headings:
Overhead cost element Amount (Ksh)
Setup costs 17,420,000
Factory costs (machine oriented activity) 149,696,000
Cost of ordering materials 7,680,000
Materials handling costs 30,320,000
Administration cost for spare parts 34,400,000
Investigations into the production overhead activities for the period reveal the following:
Product Apax Bex Cox Dos
Number of set-ups 4 24 8 32
Number of material orders 4 32 4 32
Number of times material
Was handled 8 40 12 48
Number of spare parts used 8 20 4 16
Required:
i) Unit cost per product using the machine hour rate (4 marks)
ii) Unit cost per product using the activity based costing (12 marks)
iii) Unit price per product if a markup of 50% is used (4 marks)

Respuesta :

**i) Unit Cost per Product using the Machine Hour Rate:**

First, calculate the machine hour rate:

\[ \text{Machine Hour Rate} = \frac{\text{Factory Costs}}{\text{Total Machine Hours}} \]

\[ \text{Machine Hour Rate} = \frac{149,696,000}{(1 \times 2,000) + (1 \times 20,000) + (4 \times 2,400) + (6 \times 28,000)} \]

Calculate the machine hour rate and then use it to find the unit cost per product:

\[ \text{Unit Cost using Machine Hour Rate} = \text{Material Cost per unit} + (\text{Machine Hour Rate} \times \text{Machine Hours per unit}) \]

**ii) Unit Cost per Product using Activity-Based Costing (ABC):**

Calculate the activity rates for each overhead cost element:

\[ \text{Setup Activity Rate} = \frac{\text{Setup Costs}}{\text{Total Set-ups}} \]

\[ \text{Material Ordering Activity Rate} = \frac{\text{Cost of Ordering Materials}}{\text{Total Material Orders}} \]

\[ \text{Materials Handling Activity Rate} = \frac{\text{Materials Handling Costs}}{\text{Total Times Material Was Handled}} \]

\[ \text{Administration Activity Rate} = \frac{\text{Administration Cost for Spare Parts}}{\text{Total Spare Parts Used}} \]

Then, find the unit cost per product using the ABC method:

\[ \text{Unit Cost using ABC} = \text{Material Cost per unit} + (\text{Setup Activity Rate} \times \text{Number of Set-ups}) + (\text{Material Ordering Activity Rate} \times \text{Number of Material Orders}) + (\text{Materials Handling Activity Rate} \times \text{Number of Times Material Was Handled}) + (\text{Administration Activity Rate} \times \text{Number of Spare Parts Used}) \]

**iii) Unit Price per Product with 50% Markup:**

\[ \text{Unit Price} = \text{Unit Cost} + (0.5 \times \text{Unit Cost}) \]

Calculate the unit prices for each product.

Please perform the calculations with the given data to obtain the numerical values.