Consider the following data for the assembly division of Crayton Corp.: The assembly division uses the weighted-average method of process costing. Compute the unit cost of a completely finished watch. Physical UnitsDirectConversion (Watches)MaterialsCosts Beginning work-in-process (May 1) (a)95$491,000$94,984 Started in May 2018525 Completed during May 2018450 Ending work-in-process (May 31)(b)170 Costs added during May 2018 $3,218,880$1,400,000 (a)Degree of completion: direct materials, 90%; conversion costs, 40%.(b)Degree of completion: direct materials, 70%; conversion costs, 30%.
Question
Consider the following data for the assembly division of Crayton Corp.: The assembly division uses the weighted-average method of process costing. Compute the unit cost of a completely finished watch. Physical UnitsDirectConversion (Watches)MaterialsCosts Beginning work-in-process (May 1) (a)9594,984 Started in May 2018525 Completed during May 2018450 Ending work-in-process (May 31)(b)170 Costs added during May 2018 1,400,000 (a)Degree of completion: direct materials, 90%; conversion costs, 40%.(b)Degree of completion: direct materials, 70%; conversion costs, 30%.
Solution
To compute the unit cost of a completely finished watch, we need to follow these steps:
- Calculate the equivalent units of production for materials and conversion costs.
- Calculate the cost per equivalent unit for materials and conversion costs.
- Sum up the cost per equivalent unit for materials and conversion costs to get the total cost per unit.
Let's break it down:
-
Equivalent Units of Production:
For direct materials:
- Beginning work in process: 95 units * 90% = 85.5 units
- Units started and completed in May: 450 units (since they are completed, they are 100% complete)
- Ending work in process: 170 units * 70% = 119 units
- Total equivalent units for materials = 85.5 + 450 + 119 = 654.5 units
For conversion costs:
- Beginning work in process: 95 units * 40% = 38 units
- Units started and completed in May: 450 units (since they are completed, they are 100% complete)
- Ending work in process: 170 units * 30% = 51 units
- Total equivalent units for conversion = 38 + 450 + 51 = 539 units
-
Cost per Equivalent Unit:
For direct materials:
- Total cost of beginning work in process and costs added during May for materials = 3,218,880 = $3,709,880
- Cost per equivalent unit for materials = Total cost / Total equivalent units = 5,668.07
For conversion costs:
- Total cost of beginning work in process and costs added during May for conversion = 1,400,000 = $1,494,984
- Cost per equivalent unit for conversion = Total cost / Total equivalent units = 2,773.26
-
Total Cost per Unit:
Total cost per unit = Cost per equivalent unit for materials + Cost per equivalent unit for conversion = 2,773.26 = $8,441.33
So, the unit cost of a completely finished watch is $8,441.33.
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