First-In, First-Out Method

The first-in, first-out (FIFO) process-costing method (1) assigns the cost of the previous accounting period’s equivalent units in beginning work-in-process inventory to the first units completed and transferred out of the process and (2) assigns the cost of equivalent units worked on during the current period first to complete the beginning inventory, next to start and complete new units, and finally to units in ending work-in-process inventory. The FIFO method assumes that the earliest equivalent units in work in process are completed first.

A distinctive feature of the FIFO process-costing method is that work done on the beginning inventory before the current period is kept separate from work done in the current period. The costs incurred and units produced in the current period are used to calculate the cost per equivalent unit of work done in the current period. In contrast, the equivalent-unit and cost-per-equivalent-unit calculations under the weighted-average method merge the units and costs in beginning inventory with the units and costs of work done in the current period.

We now describe the FIFO method using the five-step procedure from Case 2: Process Costing With Zero Beginning and Some Ending Work-in-Process Inventory.

  1. Step 1: SUMMARIZE THE FLOW OF PHYSICAL UNITS OF OUTPUT. Exhibit 18-6, Step 1, traces the flow of physical units of production and explains how they are calculated under the FIFO method.
    1. • The first physical units assumed to be completed and transferred out during the period are 225 units from beginning work-in-process inventory.
    2. • There are 400 physical units completed during March (see Case 3: Process Costing With Some Beginning and Some Ending Work-in-Process Inventory). The FIFO method assumes that of these 400 units, 175 units ( 400 units−225 units from beginning work-in-process inventory) were started and completed during March.
    3. • The ending work-in-process inventory consists of 100 physical units—the 275 physical units started minus the 175 units that were started and completed.
    4. • The physical units “to account for” equal the physical units “accounted for” (500 units).

Exhibit 18-6

Summarize the Flow of Physical Units and Compute Output in Equivalent Units Using the FIFO Method for the Assembly Department for March 2020

Spreadsheet screenshot shows the flow of production of physical units and equivalent units of direct materials and conversion costs using the FIFO method for the assembly department for March 2020.

Details of the flow of production are as follows:

  1. Work in process, beginning (given on page 718)

    • Physical units: 225

  2. Started during current period (given on page 718)

    • Physical units: 275

  3. To account for

    • Physical units: 500

  4. Completed and transferred out during current period from beginning work in process (refer to note a)

    • Physical units: 225

    • Direct materials (the product of 225 and the difference of 100% and 100% ): 0

    • Conversion costs (the product of 225 and the difference of 100% and 60%): 90

  5. Completed and transferred out during current period Started and completed

    • Physical units: 175 (refer to note b)

    • Direct materials (the product of 175 and 100%): 175

    • Conversion costs (the product of 175 and 100%): 175

  6. Work in process, ending (given on page 691) (refer to note c)

    • Physical units: 100

    • Direct materials (100 multiplied by 100%): 100

    • Conversion costs (100 multiplied by 50%): 50

  7. Accounted for

    • Physical units: 500

  8. Equivalent units of work done to date

    • Direct materials: 275

    • Conversion costs: 315

  9. Note a: Degree of completion in this department: direct materials, 100%; conversion costs, 50%.

    • Note b: 400 physical units completed and transferred out minus 225 physical units completed and transferred out from beginning work-in-process inventory.

    • Note c: Degree of completion in this department: direct materials, 100%; conversion costs, 50%.

  1. Step 2: COMPUTE OUTPUT IN TERMS OF EQUIVALENT UNITS. Exhibit 18-6 also presents the computations for Step 2 under the FIFO method. The equivalent-unit calculations for each cost category focus on equivalent units of work done in the current period (March) only.
  2. Under the FIFO method, equivalent units of work done in March on beginning work-in-process inventory equal 225 physical units times the remaining percentage of work done in March to complete these units: 0% for direct materials, because beginning work in process is 100% complete for direct materials, and 40% for conversion costs, because beginning work in process is 60% complete for conversion costs. The results are 0 (0%×225) equivalent units of work done in March for direct materials and 90 (40%×225) equivalent units of work done in March for conversion costs.
  3. The equivalent units of work done in March on the 175 physical units started and completed equals 175 units times 100% for both direct materials and conversion costs because all work on these units is done in the current period.
  4. The equivalent units of work done in March on the 100 units of ending work in process equal 100 physical units times 100% for direct materials (because all direct materials for these units are added in the current period) and 50% for conversion costs (because 50% of the conversion- costs work on these units is done in the current period).
  5. Step 3: SUMMARIZE TOTAL COSTS TO ACCOUNT FOR. Exhibit 18-7 presents Step 3 and summarizes the $62,280 in total costs to account for in March 2020 (the costs of beginning work in process, $26,100, and costs added in the current period, $36,180).

Exhibit 18-7

Summarize Total Costs to Account For, Compute Cost per Equivalent Unit, and Assign Costs to Units Completed and to Units in Ending Work-in-Process Inventory Using the FIFO Method for the Assembly Department for March 2020

Spreadsheet screenshot shows the total costs to account for, cost per equivalent unit, and assignment of costs to the units completed and units in ending work-in-process inventory using the FIFO method for the Assembly department for March 2020.

Details of the spreadsheet are divided into step 3, step 4, and step 5, which are as follows:

  1. Step 3

    1. Work in process, beginning (given on page 718)

      • Total production costs (sum of direct materials and conversion costs): $26,100

      • Direct materials: $18,000

      • Conversion cost: $8,100

    2. Costs added in current period (given on page 718)

      • Total production costs (sum of direct materials and conversion costs): $36,180

      • Direct materials: $19,800

      • Conversion cost: $16,380

    3. Total costs to account for

      • Total production costs (sum of direct materials and conversion costs): $62,280

      • Direct materials: $37,800

      • Conversion cost: $24,480

  2. Step 4

    1. Costs added in current period

      • Direct materials: $19,800

      • Conversion cost: $16,380

    2. Divide by equivalent units of work done in current period (Exhibit 18-6)

      • Direct materials: 275

      • Conversion cost: 315

    3. Cost per equivalent unit of work done to date (quotient of costs added and equivalent units of work done):

      • Direct materials: $72

      • Conversion cost: $52

  3. Step 5: Assignment of costs

    1. Completed and transferred out (400 units):

      Work in process beginning (225 units)

      • Total production costs (sum of direct materials and conversion costs): $26,100

      • Direct materials: $18,000

      • Conversion cost: $8,100

      Costs added to beginning work in process in current period

      • Total production costs (sum of direct materials and conversion costs): $4,680

      • Direct materials: the product of 0 and $72 (refer to note a)

      • Conversion cost: product of 90 and $52 (refer to note a)

      Total from beginning inventory

      • Total production costs: $30,780

      Started and completed (175 units)

      • Total production costs (sum of direct materials and conversion costs): 21,700

      • Direct materials: the product of 175 and $72 (refer to note b)

      • Conversion cost: product of 175 and $52 (refer to note b)

      Total costs of units completed and transferred out: %52,480

    2. Work in process, ending (100 units)

      • Total production costs (sum of direct materials and conversion costs): 9,800

      • Direct materials: the product of 100 and $72 (refer to note b)

      • Conversion cost: product of 50 and $52 (refer to note b)

    3. Total costs accounted for

      • Total production costs (sum of direct materials and conversion costs): $62,280

      • Direct materials: $37,800

      • Conversion cost: $24,480

  4. Note a: Equivalent units completed and transferred out from Exhibit 18-6, Step 2.

    • Note b: Equivalent units started and completed from exhibit 18-6, Step 2.

    • Note c: Equivalent units in ending work in process from Exhibit 18-6, Step 2.

  1. Step 4: COMPUTE COST PER EQUIVALENT UNIT. Exhibit 18-7 shows the Step 4 computation of the cost per equivalent unit of work done in the current period only for direct materials and conversion costs. For example, the conversion cost per equivalent unit of $52 is obtained by dividing current-period conversion costs of $16,380 by current-period conversion-costs equivalent units of 315.
  2. Step 5: ASSIGN COSTS TO UNITS COMPLETED AND TO UNITS IN ENDING WORK-IN-PROCESS INVENTORY. Exhibit 18-7 shows the assignment of costs under the FIFO method. The costs of work done in the current period are assigned (1) first to the additional work done to complete beginning work-in-process inventory, then (2) to work done on units started and completed during the current period, and finally (3) to ending work-in-process inventory. Step 5 takes each quantity of equivalent units calculated in Exhibit 18-6, Step 2, and assigns dollar amounts to them (using the cost-per-equivalent-unit calculations in Step 4).

Of the 400 completed units, 225 units are from beginning inventory and 175 units are started and completed during March. The FIFO method first assigns costs of beginning work-in-process inventory of $26,100 to the first units completed and transferred out. As we saw in Step 2, an additional 90 equivalent units of conversion costs are needed to complete these units in the current period. The current-period conversion cost per equivalent unit is $52, so $4,680 (90 equivalent units×$52 per equivalent unit) of additional costs are incurred to complete the beginning inventory. The total production costs for units in beginning inventory are therefore $26,100  + $4,680= $30,780. The 175 units started and completed in the current period consist of 175 equivalent units of direct materials and 175 equivalent units of conversion costs. These units are costed at the cost per equivalent unit in the current period (direct materials, $72, and conversion costs, $52) for a total production cost of $21,700 [175 × ($72 + $52)].

Under FIFO, the ending work-in-process inventory comes from units that were started but not fully completed during the current period. The total costs of the 100 partially assembled physical units in ending work in process are shown below:

A table shows total costs of the 100 partially assembled physical units in ending work in process

The table depicts total costs of the 100 partially assembled physical units in ending work in process. The details of the table are as follows:

1. Direct materials, 100 equivalent units times 72 dollars cost per equivalent unit in March: 7,200 dollars

2. Conversion costs, 50 equivalent units times 52 dollars cost per equivalent unit in March: 2,600 dollars

3. Total cost of work in progress on March 31: 9,800 dollars

The following table summarizes the total costs to account for ($62,280) and how they are accounted for under FIFO in Exhibit 18-7. Notice how the FIFO method keeps separate the layers of the beginning work-in-process costs and the costs added in the current period. The arrows indicate where the costs in each layer go—that is, to units completed and transferred out or to ending work in process. Be sure to include the costs of beginning work-in-process inventory ($26,100) when calculating costs of units completed.

A table shows costs to account for and how they are calculated on a FIFO basis

The table depicts costs to account for and how they are calculated on a FIFO basis. The details of the table are as follows:

1. Costs to account for

2. Costs accounted for calculated on a weighted-average basis

Before proceeding, review Exhibits 18-6 and 18-7 to check your understanding of the FIFO method. Note: Exhibit 18-6 deals with only physical and equivalent units, not costs. Exhibit 18-7 shows the cost amounts.

The journal entries under the FIFO method are identical to the journal entries under the weighted-average method except for one difference. The entry to record the cost of goods completed and transferred out is $52,480 under the FIFO method instead of $52,000 under the weighted-average method.

Using a strict FIFO assumption, the 225 units completed from beginning inventory would be transferred to the testing department at a cost of $136.80 per unit ($30,780÷225 units). The 175 units started and completed during March would be transferred at a cost of $124 per unit ($21,700÷175 units). As a practical matter, however, units transferred in during a given period usually are carried at a single average unit cost. The testing department would carry all the units transferred in during March (which consist of costs incurred in both February and March) in one layer at a single average unit cost of $131.20 ($52,480÷400 units). If this averaging were not done, the attempt to track costs on a pure FIFO basis throughout a series of processes would be cumbersome. As a result, the FIFO method should really be called a modified or department FIFO method.

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