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Process costing

Departmental cost accumulation, equivalent units, weighted-average versus FIFO treatment, WIP valuation and process-loss boundaries.

Tags: costing, process-costing, work-in-process, accounting

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Purpose and scope

Process costing pools costs by process or department for similar output. Job-order costing accumulates costs for identifiable jobs. OpenStax, process versus job-order costing, §5.1

In the weighted-average example, 800 units transfer out and 200 remain in process. Closing units are 100% complete for material and 25% for conversion, so the totals are 1,000 material and 850 conversion equivalent units. At $5 and $4 per respective equivalent unit, $7,200 transfers out and $1,200 stays in work in process.

A process-cost report reconciles physical units and costs. Work in process (WIP) has consumed resources despite being incomplete, so it retains part of the process cost. OpenStax, initial-stage production cost report, §5.3

Physical units and equivalent units

Physical units are the actual count or quantity, such as pieces or kilograms. Equivalent units express the completed-work content of those units for a specified cost category:

Equivalent units = physical units × completion fraction for that category

Materials and conversion can have different completion fractions. Conversion normally groups direct labour and manufacturing overhead. If all material enters at the start but processing continues afterward, ending WIP can be 100% complete for materials and only 25% complete for conversion. Combining the categories into one undifferentiated percentage obscures that difference. Where material enters at several stages, use the relevant addition points rather than assuming all inputs arrive at the start. OpenStax, §5.3

Completion is relative to the department being costed. A unit complete in mixing may still require finishing and packaging. Its accumulated costs follow it into the next department; departmental transfer is not necessarily a customer sale. Subsequent-stage calculations must retain the transferred-in cost as well as costs added locally. OpenStax, subsequent processing stages, §5.4

Weighted average versus FIFO

The methods differ in their treatment of opening WIP, not in the number of physical units present:

Question Weighted average FIFO process costing
Costs used in the equivalent-unit rate Opening WIP costs plus current-period costs Current-period costs only
Work counted in the rate denominator Completed output plus equivalent work in closing WIP Current work needed to finish opening WIP, plus units started/completed, plus closing-WIP work
Opening costs Blended into the rate Carried separately into the cost of completed opening units

For FIFO, work already performed before the period is excluded from current equivalent production. Do not divide a blended opening-plus-current cost by a FIFO current-work denominator: that mixes methods. When there is no opening WIP, this particular distinction disappears. Open Cost Accounting, chapter 6, §§6.3–6.5

Reconciled weighted-average example

Original illustrative assumptions: one initial department, one month, USD; identical units; no losses, scrap, rework or transferred-in costs. Material is added at the start, and conversion is incurred evenly. Opening WIP is 200 units, 100% material-complete and 50% conversion-complete. During the month, 800 units are started; 800 units are completed/transferred out. Closing WIP is 200 units, 100% material-complete and 25% conversion-complete.

Physical flow reconciles independently of dollars:

200 opening + 800 started = 800 transferred + 200 closing = 1,000 units

Weighted-average equivalent production Materials Conversion
Completed/transferred units 800 800
Closing WIP 200 × 100% = 200 200 × 25% = 50
Equivalent units 1,000 850

The 200 physical closing units do not become 50 physical units; they contain 50 equivalent units of conversion work.

Cost to account for Materials Conversion Total
Opening WIP cost $1,000 $400 $1,400
Added this period $4,000 $3,000 $7,000
Total available $5,000 $3,400 $8,400
Equivalent units 1,000 850
Cost/equivalent unit $5 $4

Completed output receives 800 × ($5 + $4) = $7,200. Closing WIP receives 200 × $5 materials plus 50 × $4 conversion = $1,200. Costs reconcile:

$1,400 opening + $7,000 added = $7,200 transferred + $1,200 closing = $8,400

The completed-unit departmental cost is $9. Applying that whole amount to closing WIP would incorrectly value 200 incomplete units at $1,800, overstating WIP by $600 under these assumptions.

What FIFO changes in the same example

Assume the 200 opening units are completed first. Of the 800 completed units, 600 are started and completed this month. FIFO's current-period equivalent work is:

Current work Materials Conversion
Finish opening WIP 0 200 × (100% − 50%) = 100
Start and finish new units 600 600
Work in closing WIP 200 50
Current equivalent units 800 750

Current rates are $4,000 ÷ 800 = $5 material and $3,000 ÷ 750 = $4 conversion. Completing opening WIP costs its carried $1,400 plus 100 × $4 = $400, or $1,800. Newly started/completed output costs 600 × $9 = $5,400. Thus transferred costs are again $7,200, and closing WIP $1,200. The methods happen to agree because these particular opening costs and completion fractions imply the same category rates as current production. Different opening rates can yield different valuations; identical results here do not make the methods interchangeable.

Losses require a separate model

Normal loss is expected wastage under usual conditions; abnormal loss is additional loss beyond that expectation. An abnormal gain describes actual loss below the expected amount, rather than extra physical production from nowhere. ACCA's June 2011 article also shows that scrap proceeds affect process and loss accounts. State the normal-loss basis, actual loss, detection point and scrap recovery before assigning costs; the no-loss example above does not silently accommodate spoilage. ACCA, Process costing, June 2011, pp. 1–5

A model with losses needs its own physical-flow and cost reconciliation, including the work consumed by rejected units. Distinguish management yield measures from inventory capitalization. For Australian reporting, AASB 102 paragraph 16 excludes abnormal wasted materials, labour and other production costs from inventory. AASB 102, December 2021 compilation, paragraph 16

Using the report

Retain the department, period, unit of measure, method and completion estimates. Reconcile both units and costs. A cost per equivalent unit is an allocation result, not a physical output count or a customer selling rate. OpenStax, production cost reporting, §5.3