The Converting Department of Worley Company had 2,400 units in work in process at the beginning of the period, which were 35% complete. During the period, 10,800 units were completed and transferred to the Packing Department. There were 1,900 units in process at the end of the period, which were 60% complete. Direct materials are placed into the process at the beginning of production. Determine the number of equivalent units of production with respect to direct materials and conversion costs. If an amount is zero, enter in "0".

Equivalent units

Materials    = 12,700 units

Conversion cost =  11,940 units

Explanation:

Equivalent Units E.U) are notional whole units which represent incomplete work and are used to apportion costs between between work in progress and completed work.

Equivalent Units = Degree of completion (%) × units

We will use the weighted average method

Weighted average method

The weighted average method of valuation of work in progress does not separate opening work-in progress from the newly introduced.

Using the weighted average method

Equivalent unit for material cost

Since direct materials are added at the the beginning of the production process the equivalent unit of direct material

EU = (100% × 10,800) + (100% ×1900) = 12700

Note that 100% represent the degree of completion.

Equivalent unit for conversion cost

Item                                                   Equivalent unit

Transferred out         100%× 10,800 = 10,800

Closing inventory     60%  ×1900 =      1140

Total equivalent unit =                         11,940

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