Math Problem Statement
Johnson Company manufactures two products: 001 and 002. The overhead costs have been divided into four activity pools that use the following cost drivers:
ProductNumber of Materials RequisitionsNumber of Machine SetupsHours of Machine OperationNumber of Product Inspections
Product 001
12
35
3,000
25
Product 002
8
115
1,500
55
The cost per each pool is as follows.
Materials RequisitionsMachine SetupsMachine OperationProduct Inspections
Cost per Pool
$10,000
$90,000
$135,000
$22,000
REQUIRED
a. Compute the unit activity costs for each of the cost drivers listed.
Unit cost per Materials Requisition
Unit cost per Machine Setup
Unit cost per Hour of Machine Operation
Unit cost per Product Inspection
b. Assign the overhead costs to products 001 and 002 using activity-based costing.
Product 001Product 002
Materials Requisitions
Machine Setups
Machine Operation
Product Inspection
Solution
Step-by-Step Solution:
(a) Compute the unit activity costs for each of the cost drivers
To compute the unit activity cost for each cost driver, divide the total cost for each pool by the total number of activities for that driver across both products.
-
Unit Cost per Materials Requisition: Total requisitions =
Unit cost = -
Unit Cost per Machine Setup: Total setups =
Unit cost = -
Unit Cost per Hour of Machine Operation: Total hours =
Unit cost = -
Unit Cost per Product Inspection: Total inspections =
Unit cost =
(b) Assign overhead costs to products 001 and 002 using activity-based costing
For each product, calculate the overhead costs by multiplying the quantity of each activity by its corresponding unit cost.
-
Materials Requisitions:
- Product 001 =
- Product 002 =
-
Machine Setups:
- Product 001 =
- Product 002 =
-
Machine Operation:
- Product 001 =
- Product 002 =
-
Product Inspection:
- Product 001 =
- Product 002 =
Overhead Costs Assigned
Cost Pool | Product 001 | Product 002 |
---|---|---|
Materials Requisitions | $6,000 | $4,000 |
Machine Setups | $21,000 | $69,000 |
Machine Operation | $90,000 | $45,000 |
Product Inspection | $6,875 | $15,125 |
Total Overhead | $123,875 | $133,125 |
Summary:
-
Unit Costs per Activity Driver:
- Materials Requisition: $500
- Machine Setup: $600
- Machine Operation: $30
- Product Inspection: $275
-
Overhead Costs Assigned:
- Product 001: $123,875
- Product 002: $133,125
Would you like to see further detailed calculations or have questions about the methodology?
Related Questions:
- How do the results differ if traditional costing is applied instead of activity-based costing?
- What insights can management derive from the overhead allocation using activity-based costing?
- How does increasing or decreasing activity levels impact unit costs and total overhead?
- What are the main benefits of using activity-based costing in a manufacturing environment?
- Can you provide an example of how this costing method can improve pricing strategies?
Tip:
Activity-based costing offers more precise overhead allocation, which helps in understanding the true cost of products and making better strategic decisions.
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Math Problem Analysis
Mathematical Concepts
Activity-Based Costing (ABC)
Unit Cost Calculation
Cost Allocation
Formulas
Unit Cost = Total Cost ÷ Total Activity
Overhead Cost = Activity Quantity × Unit Cost
Theorems
Activity-Based Costing Methodology
Suitable Grade Level
Undergraduate - Business/Accounting
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