Compute the number of equivalent units with respect to direct materials using the weighted-average method. Units Direct Materials Percent Complete Conversion Percent CompleteBeginning work in process inventory 23,000 100% 50%Units started and completed 130,000 Units completed and transferred out 153,000 Ending work in process inventory 31,000 100% 55%
Question
Compute the number of equivalent units with respect to direct materials using the weighted-average method. Units Direct Materials Percent Complete Conversion Percent CompleteBeginning work in process inventory 23,000 100% 50%Units started and completed 130,000 Units completed and transferred out 153,000 Ending work in process inventory 31,000 100% 55%
Solution
To compute the number of equivalent units with respect to direct materials using the weighted-average method, we need to consider both the work done on the beginning inventory and the work done during the current period.
Here are the steps:
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Calculate the equivalent units for the beginning work in process inventory. Since the direct materials were 100% complete, the equivalent units for direct materials are the same as the physical units, which is 23,000 units.
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Calculate the equivalent units for the units started and completed. Again, since these units were started and completed within the period, the equivalent units for direct materials are the same as the physical units, which is 130,000 units.
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Calculate the equivalent units for the units completed and transferred out. These units were completed, so the equivalent units for direct materials are the same as the physical units, which is 153,000 units.
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Calculate the equivalent units for the ending work in process inventory. Since the direct materials were 100% complete, the equivalent units for direct materials are the same as the physical units, which is 31,000 units.
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Add up all the equivalent units calculated in the steps above.
So, the total equivalent units for direct materials are 23,000 (from beginning work in process inventory) + 130,000 (from units started and completed) + 153,000 (from units completed and transferred out) + 31,000 (from ending work in process inventory) = 337,000 equivalent units.
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