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Equivalent Units of Production and Related Costs The charges to Work in Process—Assembly Department for a...

  1. Equivalent Units of Production and Related Costs

    The charges to Work in Process—Assembly Department for a period, together with information concerning production, are as follows. All direct materials are placed in process at the beginning of production.

    Work in Process-Assembly Department
    Bal., 2,000 units, 25% completed 5,200 To Finished Goods, 46,000 units ?
    Direct materials, 47,000 units @ $1.7 79,900
    Direct labor 129,400
    Factory overhead 50,390
    Bal. ? units, 20% completed ?

    Determine the following:

    a. The number of units in work in process inventory at the end of the period.
    units

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    b. Equivalent units of production for direct materials and conversion. If an amount is zero or a blank, enter in "0".

    Work in Process-Assembly Department
    Equivalent Units of Production for Direct Materials and Conversion Costs
    Whole Units Equivalent Units
    Direct Materials
    Equivalent Units
    Conversion
    Inventory in process, beginning
    Started and completed
    Transferred to finished goods
    Inventory in process, ending
    Total units

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    c. The rate used to allocate costs between completed and partially completed production.Costs per equivalent unit for direct materials and conversion. If required, round your answers to the nearest cent.

    Costs Per Equivalent Unit
    Direct Materials $
    Conversion $

    d. Cost of the units started and completed during the period.

Solutions

Expert Solution

Solution a:

Number of units in work in process inventory at the end of the period = Beginning WIP units + Units Started - Units completed = 2000 + 47000 - 46000 = 3000 units

Solution b:

Work in Process-Assembly Department
Equivalent Units of Production for Direct Materials and Conversion Costs
Particulars Whole Units Equivalent Units
Direct Materials Conversion
Inventory in process, beginning 2000 0 1500
Started and completed 44000 44000 44000
Transferred to finished goods 46000 44000 45500
Inventory in process, ending 3000 3000 600
Total units 49000 47000 46100

Solution c:

Assembly Department
Computation of Cost per Equivalent unit
Particulars Total cost Material Conversion
Current period cost $259,690.00 $79,900.00 $179,790.00
Equivalent units 47000 46100
Cost per equivalent unit $1.70 $3.90

Solution d:

Cost of units started and completed during the period = (44000*$1.70) + (44000*$3.90) = $246,400


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