In: Accounting
Jarvene Corporation uses the FIFO method in its process costing system. The following data are for the most recent month of operations in one of the company’s processing departments:
Units in beginning inventory | 390 |
Units started into production | 4,300 |
Units in ending inventory | 260 |
Units transferred to the next department | 4,430 |
Materials | Conversion | |||
Percentage completion of beginning inventory | 60 | % | 40 | % |
Percentage completion of ending inventory | 70 | % | 50 | % |
The cost of beginning inventory according to the company’s costing system was $7,805 of which $4,801 was for materials and the remainder was for conversion cost. The costs added during the month amounted to $180,096. The costs per equivalent unit for the month were:
Materials | Conversion | |
Cost per equivalent unit | $18.00 | $23.00 |
Required:
1. Compute the total cost per equivalent unit for the month.
2. Compute the equivalent units of material and conversion in the ending inventory.
3. Compute the equivalent units of material and conversion that were required to complete the beginning inventory.
4. Compute the number of units started and completed during the month.
5. Compute the cost of ending work in process inventory for materials, conversion, and in total for the month.
6. Compute the cost of the units transferred to the next department for materials, conversion, and in total for the month.
Solution:
1)
Total cost per equivalent units = Material cost per equivalent units + conversion cost per equivalent units
=$18+$23
=$41
2)
Equivalent units of material and conversion in ending inventory
Materials = Units in ending inventory * percentage completion of ending inventory
=260*70%
=182
Conversion = Units in ending inventory * percentage completion of ending inventory
=260*50%
=130
3)
Equivalent units of material and conversion required to complete beginning inventory
Materials = Units in beginning inventory * percentage completion of beginning inventory
=390*40%
=156
Conversion=Units in beginning inventory * percentage completion of beginning inventory
=390*60%
=234
4)
Number of units started and completed = Number of units transferred to the next department - Number of units in beginning inventory
=4,430 -390
=4,040.
5)
Cost of ending work in process inventory
Materials (182*18) | $3,276 |
Conversion (130*23) | $2,990 |
Total cost of ending work in process inventory | $6,266 |
6)
Cost of units transferred to the next department:
Materials | Conversion | Total | |
Cost of beginning work in process | 4,801 | 3,004 | 7,805 |
Cost incurred on beginning work in process | 2,808 (156*18) | 5,382 (234*23) | 8,190 |
Cost of units started and completed | 72,720 (4,040*18) | 92,920 (4,040*23) | 165,640 |
Total cost of units transferred | $80,329 | $101,306 | $181,635 |
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