Question

In: Accounting

Department A had 4,600 units in Work in Process that were 74% completed at the beginning...

Department A had 4,600 units in Work in Process that were 74% completed at the beginning of the period at a cost of $6,100. During the period, 32,500 units of direct materials were added at a cost of $74,750 and 34,400 units were completed. At the end of the period, 2,700 units were 39% completed. All materials are added at the beginning of the process. Direct labor was $27,700, and factory overhead was $5,100. The cost of the 2,700 units in process at the end of the period if the first-in, first-out method is used to cost inventories was

a.$7,288 b.$6,749 c.$6,210 d.$8,366

Solutions

Expert Solution

Correct answer-----------a.$7,288

Working

STEP 1 (FIFO)
Reconciliation of Units
Units % already completed % completed this period
Material Conversion Material Conversion
Beginning WIP               4,600 100% 74% 0% 26%
Units introduced             32,500
Total units to be accounted for             37,100
Completed and Transferred unit             34,400 0% 0% 100% 100%
Ending WIP               2,700 0% 0% 100% 39%

.

STEP 2 (FIFO)
Equivalent Units
Total Units Material Conversion
Units Transferred: % completed this period Equivalent Units % completed this period Equivalent Units
From WIP               4,600 0%                             -   26%                          1,196
From units started/Introduced             29,800 100%                   29,800 100%                        29,800
Total             34,400                   29,800                        30,996
Total Units Material Conversion
Ending WIP % completed this period Equivalent Units % completed this period Equivalent Units
Total               2,700 100%                      2,700 39%                          1,053
Total EUP             37,100                   32,500                        32,049

.

STEP 3
Cost per Equivalent Units AND Cost to be accounted for
Material Conversion TOTAL
Cost incurred in Current Period $ 74,750 $ 32,800 $ 107,550
Total Equivalent Units                                              32,500                                                       32,049
Cost per Equivalent Units $ 2.300 $ 1.02 $ 3.32
Cost of Beginning WIP $ 6,100
Total cost to be accounted for $ 113,650

Step 4

Cost of Ending WIP                 2,700.00 units
Equivalent Units [Step 2] Cost per Equivalent Units [Step 3] Cost of Ending WIP TOTAL
Material                     2,700 $ 2.30 $ 6,210
Conversion                     1,053 $ 1.02 $ 1,078
Total Cost of Ending WIP $ 7,288

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