Math Problem Statement
A company gives us the following information about their inventories at the beginning and end of the year:
Beginning work in process: 9000 units. (With 100% of DM and 47% of MOH).
Finished goods beginning inventory: 6200 units.
Ending work in process: 0 units
Finished goods ending inventory: 4700 units.
The company has sold 37000 units. How many equivalent units belong to Conversion costs?
Solution
To determine the equivalent units for Conversion Costs (MOH + Direct Labor), we follow these steps:
Step 1: Definitions
- Equivalent Units: The units completed or partially completed, expressed in terms of fully completed units.
- Conversion Costs: The costs incurred for Direct Labor and Manufacturing Overhead (MOH) to convert raw materials into finished products.
Step 2: Data Breakdown
- Beginning Work in Process (WIP): 9,000 units
- 100% Direct Materials
- 47% Conversion Costs
- Ending WIP: 0 units (meaning all units in WIP at the start of the year were completed during the year).
- Finished Goods Beginning Inventory: 6,200 units
- Finished Goods Ending Inventory: 4,700 units
- Units Sold: 37,000 units
Step 3: Total Units Produced
We calculate the total units completed during the year:
Step 4: Equivalent Units for Conversion Costs
-
Conversion of Beginning WIP:
- Beginning WIP: 9,000 units, which were 47% complete for conversion costs.
- Remaining Conversion Costs to complete: .
- Equivalent units needed to complete beginning WIP for conversion costs:
-
Newly Started and Completed Units:
- Total Units Completed: 35,500.
- Units already in Beginning WIP: 9,000.
- Units started and completed during the year:
- These units are 100% complete for conversion costs:
-
Ending WIP:
- Since Ending WIP is 0 units, no equivalent units are needed for conversion costs in ending WIP.
Step 5: Total Equivalent Units
The total equivalent units for conversion costs are:
Final Answer:
The equivalent units for conversion costs are 31,270.
Let me know if you'd like further clarification or more detailed steps! 😊
Here are 5 questions to expand your understanding:
- What are the differences between Direct Materials and Conversion Costs?
- How do beginning and ending inventories affect equivalent unit calculations?
- Why is it important to calculate equivalent units in manufacturing accounting?
- What would happen to the equivalent unit calculation if ending WIP was not zero?
- How does the percentage completion of WIP inventory impact the overall cost accounting?
Tip: Always double-check percentage completion levels for accuracy when working with equivalent unit problems—they are crucial for precise cost allocation!
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Math Problem Analysis
Mathematical Concepts
Cost Accounting
Equivalent Units
Manufacturing Overhead
Direct Labor
Formulas
Units Completed = Units Sold + Ending Finished Goods Inventory - Beginning Finished Goods Inventory
Equivalent Units = Units × Percentage Completion
Total Equivalent Units = Equivalent Units for Beginning WIP + Equivalent Units for Newly Started and Completed Units
Theorems
Concept of Equivalent Units in Process Costing
Suitable Grade Level
Undergraduate Level (Accounting/Finance)
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