Question

A department began the month with 50,000 units in work in process inventory. These units were...

  1. A department began the month with 50,000 units in work in process inventory. These units were 90% complete with respect to direct materials and 40% complete with respect to conversion. During the month the department started 286,000 units; 220,000 of these units were completed during the month. The remaining 66,000 units are in ending work in process inventory, 80% complete with respect to direct materials and 30% complete with respect to conversion. Use FIFO method of process costing to:
    1. Compute the department’s equivalent units of production for the month for direct materials
    2. Compute the department’s equivalent units of production for the month for conversion
  1. A department started the month with beginning work in process inventory of $130,000 ($90,000 for direct materials and $40,000 for conversion). During the month, the department incurred additional direct materials costs of $700,000 and conversion costs of $500,000. Assume that equivalent units for the month were computed as 250,000 for materials and 200,000 for conversion.
    1. Compute the department’s cost per equivalent unit of production for the month for direct materials.
    2. Compute the department’s cost per equivalent unit of production for the month for conversion.
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Answer #1

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· Question #1

--Working

Units Reconciliation

Units to account for:

Beginning WIP

                                50,000

Units started this period

                              286,000

Total Units to account for

                              336,000

Total Units accounted for:

Completed & Transferred out

                              270,000

Ending WIP

                                66,000

Total Units accounted for

                              336,000

--Requirement with workings

EUP - FIFO Method

Units

% Material

EUP Materials

% Conversion

EUP - Conversion

Units of ENDING WIP

                                66,000

80.0%

                   52,800

30.0%

                             19,800

Units STARTED & COMPLETED

                              220,000

100%

                 220,000

100%

                           220,000

Units of beginning WIP

                                50,000

10.00%

                     5,000

60%

                             30,000

Equivalent Units of Production

                 277,800

                           269,800

· Question #2

>Cost per EU for direct materials = ($90000 + $ 700000) / 250000 units = $ 3.16
>Cost per EU for conversion = ($40000 + $ 500000) / 200000 units = $ 2.70

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