To determine how many units were completed during January, we can use the formula related to work-in-process inventory and the weighted-average method of process costing.
The formula to find the number of units completed is:
Units Completed = Beginning Work-in-Process (BWIP) + Units Started − Ending Work-in-Process (EWIP)
Where:
Beginning Work-in-Process (BWIP) : These are the units that were in process at the start of the month. In this case, there were 500 units.
Units Started : These are the new units that began production during the month. Here, 1,300 units were started.
Ending Work-in-Process (EWIP) : These are the units that were still in process at the end of the month. The company had 250 units in ending WIP.
Substituting the values into the formula gives:
Units Completed = 500 + 1 , 300 − 250
Calculating this:
Units Completed = 1 , 800 − 250 = 1 , 550
Therefore, 1,550 units were completed during January . This calculation assumes that the company uses the weighted-average method of process costing, which typically averages the costs of beginning inventory and new production to determine cost per unit.