Final answer:
The equivalent units for direct materials for June in the Finishing Department using the FIFO method are computed by considering the units started and completed during the month and the percentage completion of the ending work in process inventory. The completed units from the beginning inventory are not included in this calculation because those materials were added before June. The total equivalent units for direct materials amount to 40,600 units.
Step-by-step explanation:
To compute the equivalent units for direct materials for June using the FIFO method, we need to account for the completion of the beginning work in process inventory (WIP) and the materials added to the production process during the month.
The formula for equivalent units under FIFO is:
Equivalent Units = Units completed + (Ending WIP inventory * % completion of ending WIP) - (Beginning WIP inventory * % completion of beginning WIP)
First, calculate the units that were completed from the beginning inventory:
Beginning WIP units (5,000 units) * (% completion for materials: 70% already completed in May) = 3,500 units
These 3,500 units were already 70% complete and do not count towards June's equivalent units for materials since those materials were added before June.
Next, add the materials for units started and completed this month (excluding the beginning WIP):
Total units to account for = Product started (44,000 units) - Beginning WIP (5,000 units) = 39,000 units
All these 39,000 units are 100% complete with respect to the materials added in June.
Finally, determine the equivalent units for the ending WIP inventory:
Ending WIP inventory (4,000 units) * (% completion for materials: 40%) = 1,600 units
Now, compute the total equivalent units for direct materials:
Equivalent Units for Materials = 0 (completed units from beginning inventory) + 39,000 (units started and completed this month) + 1,600 (equivalent units from ending WIP inventory) = 40,600 equivalent units for materials
The equivalent units for direct materials for June in the Finishing Department using the FIFO method are 40,600 units.