Consider the following data for the assembly division of Gannett Watches Company: The assembly division uses the weighted-average method of process costing. Compute the unit cost of a completely finished watch.Physical Units (Watches) Direct Materials Conversion CostsBeginning work-in-process (May 1)a 78 $49,770 $67,350Started in May 2021 495 0 0Completed during May 2021 443 0 0Ending work-in-process (May 31)b 130 0 0Total costs added during May 2021 $3,240,000 $1,410,000a. Degree of completion: direct materials, 90%; conversion costs, 40%.b. Degree of completion: direct materials, 40%; conversion costs, 20%.
Question
Consider the following data for the assembly division of Gannett Watches Company: The assembly division uses the weighted-average method of process costing. Compute the unit cost of a completely finished watch.Physical Units (Watches) Direct Materials Conversion CostsBeginning work-in-process (May 1)a 78 67,350Started in May 2021 495 0 0Completed during May 2021 443 0 0Ending work-in-process (May 31)b 130 0 0Total costs added during May 2021 1,410,000a. Degree of completion: direct materials, 90%; conversion costs, 40%.b. Degree of completion: direct materials, 40%; conversion costs, 20%.
Solution
To compute the unit cost of a completely finished watch, we need to follow these steps:
Step 1: Calculate the equivalent units of production for direct materials and conversion costs.
For direct materials:
- Beginning work-in-process: 78 watches * 90% = 70.2 units
- Started and completed in May: 443 watches * 100% = 443 units
- Ending work-in-process: 130 watches * 40% = 52 units
- Total equivalent units for direct materials = 70.2 + 443 + 52 = 565.2 units
For conversion costs:
- Beginning work-in-process: 78 watches * 40% = 31.2 units
- Started and completed in May: 443 watches * 100% = 443 units
- Ending work-in-process: 130 watches * 20% = 26 units
- Total equivalent units for conversion costs = 31.2 + 443 + 26 = 500.2 units
Step 2: Calculate the cost per equivalent unit for direct materials and conversion costs.
For direct materials:
- Total cost of direct materials = Beginning work-in-process cost + Cost added during May = 3,240,000 = $3,289,770
- Cost per equivalent unit for direct materials = Total cost / Total equivalent units = 5,821.68 per unit
For conversion costs:
- Total cost of conversion costs = Beginning work-in-process cost + Cost added during May = 1,410,000 = $1,477,350
- Cost per equivalent unit for conversion costs = Total cost / Total equivalent units = 2,953.79 per unit
Step 3: Add the cost per equivalent unit for direct materials and conversion costs to get the total unit cost of a completely finished watch.
Total unit cost = Cost per equivalent unit for direct materials + Cost per equivalent unit for conversion costs = 2,953.79 = $8,775.47
So, the unit cost of a completely finished watch is $8,775.47.
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