Process Costing – Weighted Average Method
Process costing system is used for standardized production processes. Whenever a process cost sheet is prepared for a department, the department most likely has some unfinished units either in its beginning work in process, closing work in process or both. In such a situation, it is important to determine a cost flow assumption, i.e. to agree on the order in which costs are transferred out to the next department. There are two cost-flow assumptions: first-in-first-out (FIFO) and weighted average.
In the weighted average method of process costing, the costs are averaged out and evenly applied to both units transferred out and units in closing work in process. Unlike FIFO method, which assumes costs introduced first into a department are transferred out first, weighted average method does not assume any specific order.
Process costing under weighted-average method involves the following steps:
- Preparing the quantity schedule: i.e. finding units in the beginning work in process for the period, units started or units transferred-in from prior departments, units transferred out to next department or units of finished goods, and units in closing work in process.
- Bringing forward the cost of units in the beginning work in process from last period. The cost should be broken up into all its components: direct materials and conversion costs (=direct labor and manufacturing overhead costs).
- Finding the costs added in the current department under different heads: direct materials, direct labor and manufacturing overhead costs.
- Finding total cost to be accounted for under each head i.e. direct materials, direct labor and manufacturing overhead costs. This would involve adding the cost included in the opening work in process on account of direct materials, direct labor and manufacturing overhead costs to the corresponding amounts added during the period on account of the relevant cost component.
- Finding total equivalent units.
- Finding cost per equivalent unit for each cost component by dividing the total cost for the cost component by total equivalent units for the relevant cost component.
- Allocating the cost between the units transferred out and units included in the closing work in process.
Example
Let us prepare a process cost sheet under weighted average method using the following data for Company ABC's packaging department for the month of December 2013.
- 20,000 units in work in process as at 1 December: $20,000 direct materials and $40,000 for conversion costs (i.e. $10,000 direct labor and $30,000 manufacturing overheads)
- 200,000 units transferred in from production department during the month: at a total cost of $555,000.
- Costs added included: direct materials of $22,000 and conversion costs of $20,000.
- 180,000 units transferred to finished goods
- 40,000 units in work in process as at 31 December: 100% complete as to costs transferred-in, 80% complete as to materials and 50% complete as to conversion costs.
Solution
Let us prepare the quantity schedule.
As at 1 December | 20,000 |
Transferred in | 200,000 |
Units to be accounted for | 220,000 |
Transferred out | 180,000 |
As at 31 December | 40,000 |
Units accounted for | 220,000 |
Next, calculate the equivalent units.
Transferred- in | Direct Materials | Conversion Costs | |
---|---|---|---|
Transferred out (A) | 180,000 | 180,000 | 180,000 |
Units as at 31 December (B) | 40,000 | 40,000 | 40,000 |
Percentage of completion (C) | 100% | 80% | 50% |
Equivalent units as at 31 Dec (D=B×C) | 40,000 | 32,000 | 20,000 |
Total equivalent units (A+D) | 220,000 | 212,000 | 200,000 |
Next, calculate the cost per equivalent unit.
Transferred- in | Direct Materials | Conversion Costs | Total | |
---|---|---|---|---|
As at 1 December | $0 | $20,000 | $40,000 | $60,000 |
Added during the month | $555,000 | $22,000 | $20,000 | $597,000 |
Costs to be accounted for | $555,000 | $42,000 | $60,000 | $657,000 |
Total equivalent units | 220,000 | 212,000 | 200,000 | |
Cost per equivalent unit | $2.52 | $0.20 | $0.30 | $3.02 |
Now, we need to find the cost of units transferred out. It equals $543,600 [= $3.02 × 180,000].
We also need the figure for cost of work in process as at 31 December. It can be calculated as shown in the table below.
Transferred- in | Direct Materials | Conversion Costs | Total | |
---|---|---|---|---|
Units as at 31 December (A) | 40,000 | 40,000 | 40,000 | 40,000 |
Cost per equivalent unit (B) | $2.52 | $0.20 | $0.30 | $3.02 |
Percentage of completion (C) | 100% | 80% | 50% | |
Total cost (A×B×C) | 100,909 | 6,340 | 6,000 | 113,249 |
Since cost of opening WIP plus cost added must equal cost transferred out and cost in closing WIP, the cost of closing WIP can be calculated using as short-cut formula given below:
Cost of closing WIP = Costs to be Accounted for − Costs Transferred Out
In this example, it turns out a figure of $113,400 (total cost to be accounted for of $657,000 minus costs transferred out of $543,600). The minor difference is due to rounding off.
The final process cost sheet should look like as follows:
Company ABC | |
---|---|
Packaging Department | |
Cost of Production Report | |
Dec-13 | |
QUANTITY SCHEDULE | |
As at 1 December | 20,000 |
Transferred in | 200,000 |
Units to be accounted for | 220,000 |
Transferred out | 180,000 |
As at 31 December | 40,000 |
Units accounted for | 220,000 |
COST SCHEDULE | |
Direct materials | 20,000 |
Conversion costs | 40,000 |
As at 1 December (A) | 60,000 |
Costs-transferred in (B) | 555,000 |
Direct materials | 22,000 |
Conversion costs | 20,000 |
Costs added (C) | 42,000 |
Total costs to be accounted for (A+B+C) | 657,000 |
Transferred to finished goods (D) | 543,751 |
Costs transferred-in | 100,909 |
Direct materials | 6,340 |
Conversion costs | 6,000 |
As at 31 December (E) | 113,249 |
Total costs accounted for (D+E) | 657,000 |
by Obaidullah Jan, ACA, CFA and last modified on