Question

In: Accounting

Department G had 1,920 units 25% completed at the beginning of the period, 12,800 units were...

Department G had 1,920 units 25% completed at the beginning of the period, 12,800 units were completed during the period, 1,600 units were 20% completed at the end of the period, and the following manufacturing costs debited to the departmental work in process account during the period:

Work in process, beginning of period $29,700
Costs added during period:
  Direct materials (12,480 units at $8) 99,840
  Direct labor 81,000
  Factory overhead 27,000

All direct materials are placed in process at the beginning of production and the first-in, first-out method of inventory costing is used. The total cost of 1,920 units of beginning inventory which were completed during the period (round unit cost calculations to four decimal places and round your final answer to the nearest dollar)?

a.$43,604

b.$42,004

c.$29,700

d.$39,543

Solutions

Expert Solution

Equivalent units of Production (EUP) - FIFO Method
Units %Materials EUP-Materials %Conversion EUP-Conversion
Beginning work in process inventory-units 1920 0% - 75% 1440
Units started and completed 10880 100% 10880 100% 10880
Ending work in process-units 1600 100% 1600 20% 320
Equivalent units of production 12480 12640
Cost per equivalent unit of production Materials Conversion
Costs incurred this period $ 99840 $ 108000
Total costs Costs $ 99840 Costs $ 108000
/Equivalent units of production EUP 12480 EUP 12640
Cost per equivalent unit of production $ 8.00 $ 8.5443038
Total costs accounted for:
Beginning inventory cost: $ 29700
Cost to complete beginning inventory: EUP Cost per EUP Total cost
Direct materials - $ 8.00 $ -
Conversion 1440 $ 8.5443038 $ 12304
Total cost to complete beginning inventory $ 12304 $ 12304
Total cost of units in beginning inventory $ 42004

Hence,correct option is (b) i.e., $ 42004


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