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31 January, 11:26

A firm uses a weighted-average process costing system. Direct materials and conversion costs are incurred evenly during the production process. During the month of October, the following costs were incurred:Direct materials $39,700Conversion costs 70,000The work-in-process inventory as of October 1 consisted of 5,000 units, valued at $4,300, that were 20% complete. During October, 27,000 units were transferred out. Inventory as of October 31 consisted of 3,000 units that were 50% complete. The weighted-average inventory cost per unit completed in October was

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  1. 31 January, 11:49
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    Cost Per Unit Completed = $4.07

    Explanation:

    Materials & Conversion

    Beginning WIP Cost $4,300

    Cost added in the period $109,700

    Total Cost of the Units $114,000

    Equivalent Units of Production (EUP) : Completed Units + Ending WIP Units

    EUP Materials & Conversion = 27,000 + 5,000 x 20% = 28,000

    Cost per Equivalent Unit: Cost of Units / EUP

    Cost per EUP Materials & Conversion: $114,000 / 28,000 = $4.07
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