manufacturer has two manufacturing departments, Assembly and Painting. The company uses the FIFO method and it reports the following data. Units completed in the Assembly department are transferred to the Painting department. Units Direct materials Percent Complete Conversion Percent CompleteBeginning work in process inventory 75,000 60% 40%Units started this period 900,000 Units completed and transferred out 885,000 Ending work in process inventory 90,000 80% 30%Production cost information for the Assembly department follows. Beginning work in process Direct materials $ 134,400 Conversion 45,900 $ 180,300Costs added this period Direct materials $ 3,693,600 Conversion 2,690,100 $ 6,383,700 Calculate the equivalent units of production for both direct materials and conversion for the Assembly department.
Question
manufacturer has two manufacturing departments, Assembly and Painting. The company uses the FIFO method and it reports the following data. Units completed in the Assembly department are transferred to the Painting department. Units Direct materials Percent Complete Conversion Percent CompleteBeginning work in process inventory 75,000 60% 40%Units started this period 900,000 Units completed and transferred out 885,000 Ending work in process inventory 90,000 80% 30%Production cost information for the Assembly department follows. Beginning work in process Direct materials 180,300Costs added this period Direct materials 6,383,700 Calculate the equivalent units of production for both direct materials and conversion for the Assembly department.
Solution
To calculate the equivalent units of production for both direct materials and conversion for the Assembly department, we need to consider both the work done on the beginning inventory and the work done during the current period.
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Calculate the equivalent units for the beginning work in process inventory:
- For direct materials: 75,000 units * 60% = 45,000 equivalent units
- For conversion: 75,000 units * 40% = 30,000 equivalent units
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Calculate the equivalent units for the units started and completed this period:
- For direct materials: 885,000 units * 100% = 885,000 equivalent units (since the units are completed, they are 100% complete for both direct materials and conversion)
- For conversion: 885,000 units * 100% = 885,000 equivalent units
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Calculate the equivalent units for the ending work in process inventory:
- For direct materials: 90,000 units * 80% = 72,000 equivalent units
- For conversion: 90,000 units * 30% = 27,000 equivalent units
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Add up the equivalent units from steps 1, 2, and 3 to get the total equivalent units for the period:
- For direct materials: 45,000 + 885,000 + 72,000 = 1,002,000 equivalent units
- For conversion: 30,000 + 885,000 + 27,000 = 942,000 equivalent units
So, the equivalent units of production for the Assembly department are 1,002,000 for direct materials and 942,000 for conversion.
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