Final answer:
To calculate the equivalent units of production for conversion costs in July for the Fabrication Department, one must add the equivalent units from the beginning inventory, units completed and transferred out, and the ending inventory, resulting in 102 equivalent units.
Step-by-step explanation:
The calculation of the equivalent units of production for the Fabrication Department related to conversion costs for July accounts for units at different stages of completion at the beginning and end of the period as well as the units completed during the period.
Calculating the Equivalent Units
At the start of July, there were 30 canoes 20% complete; therefore, they had 20% of their conversion costs applied (30 canoes x 20% = 6 equivalent units). During July, 88 canoes were completed and transferred out; these are considered 100% complete with respect to conversion costs (88 canoes x 100% = 88 equivalent units). At the end of July, there were 20 canoes 40% complete, contributing to the equivalent units for conversion costs (20 canoes x 40% = 8 equivalent units).
The total equivalent units of production for conversion costs in the Fabrication Department for July would be the sum of these: 6 (beginning inventory) + 88 (completed units) + 8 (ending inventory) = 102 equivalent units.