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Calculators and Calculations
Home›Calculators and Calculations›How to calculate equivalent units of production

How to calculate equivalent units of production

By Matthew Lynch
September 21, 2023
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Calculating equivalent units of production is vital for businesses to determine the cost per unit in a manufacturing process. It allows for better decision-making, resource allocation and assessing product profitability. In this article, we will discuss the steps to calculate equivalent units of production using weighted average method and first-in, first-out (FIFO) method.

Weighted Average Method:

Step 1: Determine the number of unfinished units and the percentage of completion

Identify how many units are still in production at the end of the accounting period. Then, determine the percentage of completion for these unfinished units. This is typically given in terms of direct materials completed and conversion costs (labor and overheads) completed.

Step 2: Calculate equivalent units for direct materials and conversion costs

Multiply the percentage of completion for direct materials and conversion costs by the number of unfinished units at period-end.

Equivalent Units (Direct Materials) = Unfinished Units × Percentage Completion (Direct Materials)

Equivalent Units (Conversion Costs) = Unfinished Units × Percentage Completion (Conversion Costs)

Step 3: Add equivalent units to completed units

Sum equivalent units calculated in Step 2 with the corresponding number of completed units during the accounting period.

Total Equivalent Units = Completed Units + Equivalent Units (Direct Materials/Conversion Costs)

First-In, First-Out (FIFO) Method:

Step 1: Determine beginning inventory and its stage of completion

Record the number of beginning inventory units and their percentage completion for direct materials and conversion costs.

Step 2: Calculate additional work done in the current period on beginning inventory

Multiply beginning inventory by additional percentage completion achieved during current period for direct materials and conversion costs.

Additional Work Done = Beginning Inventory × Additional Percentage Completion (Direct Materials/Conversion Costs)

Step 3: Add completed units from beginning inventory to new completed units during current period

Deduct beginning inventory from total completed units during the period to get new completed units. Then add the completed units from beginning inventory (after additional work done).

Total Completed Units = New Completed Units + Completed Units (Beginning Inventory)

Step 4: Calculate equivalent units for direct materials and conversion costs

Sum the additional work done on beginning inventory and total completed units for direct materials and conversion costs.

Equivalent Units = Additional Work Done + Total Completed Units (Direct Materials/Conversion Costs)

Conclusion:

Calculating equivalent units of production is crucial for accurate cost accounting and managerial decision-making. Both the weighted average method and FIFO method are widely used for this purpose. Choose the most suitable approach depending on your organization’s needs and accounting practices.

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