Heara Ltd manufactures metal sheets, and uses the weighted average method process costing. On 1 May the Rolling Department had 3000 units work in progress, which were 50 percent completed as to conversion costs. During May 8000 units were completed and transferred out. The remaining work in progress on 30 May was 2000 units, at 50 percent complete in terms of conversion rate. Materials are added at the beginning of the process and conversion costs are incurred uniformly. What is the equivalent unit of work done to date for direct materials and conversion costs respectively?
Question
Heara Ltd manufactures metal sheets, and uses the weighted average method process costing. On 1 May the Rolling Department had 3000 units work in progress, which were 50 percent completed as to conversion costs. During May 8000 units were completed and transferred out. The remaining work in progress on 30 May was 2000 units, at 50 percent complete in terms of conversion rate. Materials are added at the beginning of the process and conversion costs are incurred uniformly. What is the equivalent unit of work done to date for direct materials and conversion costs respectively?
Solution
To calculate the equivalent units of work done to date for direct materials and conversion costs, we need to consider both the work in progress at the beginning and end of the period, as well as the units completed and transferred out.
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Calculate the equivalent units for direct materials: Since materials are added at the beginning of the process, all units in process (both completed and in progress) are fully accounted for in terms of materials. So, the equivalent units for direct materials is the sum of units completed and transferred out and the units remaining in work in progress at the end of the period. Equivalent units for direct materials = Units completed and transferred out + Ending work in progress = 8000 units + 2000 units = 10,000 units
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Calculate the equivalent units for conversion costs: Conversion costs are incurred uniformly throughout the process. So, for units that are still in progress, we only count the percentage that has been completed. Equivalent units for conversion costs = (Units completed and transferred out) + (Ending work in progress * Percentage of completion) = 8000 units + (2000 units * 50%) = 8000 units + 1000 units = 9000 units
So, the equivalent units of work done to date for direct materials and conversion costs are 10,000 units and 9,000 units respectively.
Similar Questions
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