City University of Hong Kong · FACULTY OF ACCOUNTING

CB2101 Chap.4 Process Costing and Equivalent Units

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Chapter 4 of 10 · CB2101

Process Costing and Equivalent Units

Reconcile flow before assigning cost

Process costing accumulates cost for continuous production of similar units. Incomplete units require equivalent-unit measurement for materials and conversion separately.

Physical units must reconcile before completion percentages are used, and assigned cost must reconcile to beginning cost plus current cost after a method is applied.

Start with physical conservation

Beginning work in process plus units started must equal units completed and transferred plus ending work in process. This identity does not depend on cost method.

If it fails, stop before applying completion percentages. Transferred units are complete for the department they leave even when they still require processing elsewhere, so keep departmental completion separate from final-product completion.

Measure each cost component separately

Materials and conversion can enter at different points.

Materials added at the start can be complete in ending inventory while labour and overhead remain partial. Equivalent units translate this component-specific work into whole-unit terms.

Label every percentage with its component and source; elapsed time through a department is not automatically the completion percentage for either cost.

Understand the weighted-average blend

Weighted average combines beginning-inventory cost with current-period cost and blends prior work into the equivalent-unit calculation.

The method is compact and suitable for a combined period rate, but it can smooth a current price or efficiency change. The resulting unit cost should be described as blended rather than presented as a pure current-period measure.

Use FIFO for current-period visibility

FIFO isolates work needed to finish beginning inventory, units started and completed now, and work placed in ending inventory.

It keeps prior-period work and cost separate. When current input prices rise, FIFO normally reflects the new rate more directly, while weighted average is pulled toward the older beginning-inventory cost.

Finish with a dollar reconciliation

Beginning inventory cost plus cost added must equal cost transferred out plus cost remaining.

Carry rates with enough precision to prevent premature rounding from creating an apparent gap. A reconciliation proves that each dollar was assigned once, but it does not validate a questionable completion estimate; that operating assumption must still be shown and defended.

In this chapter

What this chapter covers

  • 01

    Physical unit reconciliation

  • 02

    Materials and conversion

  • 03

    Equivalent units

  • 04

    Weighted-average method

  • 05

    FIFO method

  • 06

    Transferred and ending costs

Worked example · free

Assign cost with ending work in process

Q [6 marks]. The marks are an AskSia revision allocation, not a University marking scheme. Complete 8,000 units and leave 2,000 units complete for materials but 30% complete for conversion. Material cost per equivalent unit is $4 and conversion is $5.
The physical-unit reconciliation must balance before completion percentages create separate material and conversion equivalent-unit totals for cost assignment.The physical-unit reconciliation must balance before completion percentages create separate material and conversion equivalent-unit totals for cost assignment.Physical units become equivalent units component by componentUnits to account forbeginning + startedUnits accounted forcompleted + endingmust reconcileEquivalent unitsmaterials | conversionCompletion percentages apply to ending work, and may differ by cost component.
The physical-unit reconciliation must balance before completion percentages create separate material and conversion equivalent-unit totals for cost assignment.
  • 2Find component equivalent units.
  • 2Assign transferred cost.
  • 2Assign ending inventory cost.
Ending inventory contributes 2,000 material equivalent units and 600 conversion equivalent units. Transferred cost is 8,000 times $9, or $72,000. Ending cost is 2,000 times $4 plus 600 times $5, or $11,000.
Sia tip — Never apply one completion percentage to both components without production evidence.
Glossary

Key terms

Equivalent Units
Partly completed output restated as fully completed units for one cost component.
Conversion Cost
Direct labour and manufacturing overhead incurred to convert material into finished output.
Weighted Average
A process-costing method that blends beginning inventory cost and work with the current period.
FAQ

Process Costing and Equivalent Units FAQ

Why are material and conversion equivalent units separate?

Inputs can enter production at different times. Materials may be added at the start while labour and overhead accrue throughout, making the same ending units fully complete for materials and only partly complete for conversion.

How does FIFO differ from weighted average?

FIFO isolates work performed this period and keeps beginning inventory's prior work separate. Weighted average blends beginning cost and work with current activity, producing a combined cost per equivalent unit.

What is the best process-costing check?

First reconcile physical units. Then confirm that beginning and current costs to account for equal the costs assigned to transferred units and ending work in process, allowing only minor rounding differences.

Why can FIFO show a different current cost?

FIFO isolates work and cost added during the current period, while weighted average blends them with beginning inventory. If input prices or efficiency changed, FIFO reflects the new conditions more directly. Build separate lines for finishing beginning units, units started and completed, and work in ending inventory, then reconcile the same total dollars under the chosen method.

Study strategy

Exam move

Use a fixed worksheet order: physical flow, component equivalent units, cost per equivalent unit and cost assignment. Reconcile beginning plus started with transferred plus ending before using any percentage. Keep materials and conversion in separate columns even when their percentages match.

Work a no-beginning-inventory case under weighted average, then add beginning inventory and rebuild it under FIFO by separating work needed to finish opening units, units started and completed, and ending work. Explain every completion percentage in production terms rather than treating elapsed time as evidence.

Carry rates with enough precision and finish by reconciling beginning plus current cost to transferred plus ending cost. Record whether each error began in physical units, equivalent units, cost rate or assignment.

Working through Process Costing and Equivalent Units in CB2101? Sia is AskSia’s AI Accounting tutor — ask any CB2101 Process Costing and Equivalent Units question and get a clear, step-by-step explanation grounded in how CB2101 is taught and assessed. Read this chapter free, then take your hardest questions to Sia.

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