Under the weighted average method, we pretend the work in beginning work-in-process inventory was done and the costs for it were incurred during the current period. Therefore, the total equivalent units of production for conversion costs will equal all the units completed during the period (including the number of physical units that were in beginning work-in-process inventory and were completed this period) plus the equivalent units of production that were in ending work-in-process inventory. The question tells us that 7,400 units were completed during the period. Ending work-in-process inventory had 2,300 units that were 60% complete as to conversion costs, or 1,380 equivalent units. Thus the total equivalent units of conversion costs for the period were 7,400 + 1,380, or 8,780.
This answer includes 30% of the BWIP in addition to including all of the BWIP in the 7,400 units completed. It is double counting the work that had been done last period.
This is the number of physical units worked on during the period.
This is the total equivalent units for conversion costs using the FIFO cost flow method; but the question says the weighted average method is to be used.
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Assuming no spoilage, equivalent units of conversion costs total: