Gunes Corporation uses the weighted-average method in its process costing system. This month, the beginning inventory in the first processing department consisted of 800 units. The costs and percentage completion of these units in beginning inventory were:
| Cost | Percent Complete |
||||||
| Materials costs | $ | 10,600 | 65% | ||||
| Conversion costs | $ | 12,800 | 30% | ||||
A total of 8,500 units were started and 7,400 units were transferred to the second processing department during the month. The following costs were incurred in the first processing department during the month:
| Cost | |||
| Materials costs | $ | 142,100 | |
| Conversion costs | $ | 359,500 | |
The ending inventory was 50% complete with respect to materials and 35% complete with respect to conversion costs.
What are the equivalent units for materials for the month in the first processing department?
Group of answer choices
7,400
8,350
950
9,300
Gunes Corporation employs the weighted-average method within its process costing system to allocate costs across different stages of production. This essay will delve into the computation of equivalent units for materials in the first processing department during the specified month. By utilizing the information provided regarding beginning inventory, units started, units transferred, costs incurred, and ending inventory, we will determine the equivalent units for materials using the weighted-average method.
To calculate the equivalent units for materials in the first processing department, we need to account for the units in both the beginning inventory and the current month’s activity. The weighted-average method considers the percentage of completion for units in process when determining their equivalent units.
Beginning Inventory: The beginning inventory consisted of 800 units, with a materials cost of $10,600 and a percentage completion of 65%. Therefore, the equivalent units for materials in the beginning inventory are calculated as follows: Equivalent units for materials in beginning inventory = Beginning inventory units × Percentage of completion Equivalent units for materials in beginning inventory = 800 units × 65% = 520 units
Units Started and Transferred: During the month, a total of 8,500 units were started in the first processing department, and 7,400 units were transferred to the second processing department. Since these units were newly started or completed, they are considered 100% complete with respect to materials. Therefore, the equivalent units for materials from units started and transferred are: Equivalent units for materials from units started and transferred = Units started and transferred Equivalent units for materials from units started and transferred = 7,400 units
Ending Inventory: The ending inventory comprised 50% completed units with respect to materials. To calculate the equivalent units for materials in the ending inventory, we use the following equation: Equivalent units for materials in ending inventory = Ending inventory units × Percentage of completion Equivalent units for materials in ending inventory = 8,500 units (total units started) × 50% = 4,250 units
Total Equivalent Units: The total equivalent units for materials are the sum of the equivalent units for materials in the beginning inventory, from units started and transferred, and in the ending inventory: Total equivalent units for materials = Equivalent units for materials in beginning inventory + Equivalent units for materials from units started and transferred + Equivalent units for materials in ending inventory Total equivalent units for materials = 520 units + 7,400 units + 4,250 units = 12,170 units
In conclusion, Gunes Corporation’s equivalent units for materials in the first processing department for the specified month using the weighted-average method amounts to 12,170 units. This calculation takes into consideration the beginning inventory, units started and transferred, and ending inventory, along with their respective percentages of completion. The accurate determination of equivalent units is crucial for allocating costs appropriately in the process costing system, aiding in the company’s cost analysis and decision-making processes.
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