Department G had 3,600 units 25% completed at the beginning of the period, 11,000 units were completed during the period; 3,000 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 $40,000 Costs added during period: Direct materials (10,400 units at $8) 83,200 Direct labor 63,000 Factory overhead 25,000 All direct materials are placed in process at the beginning of production and the first-in, first-out method of inventory costing is used. What is the total cost of 3,600 units of beginning inventory which were completed during the period (round unit cost calculations to four decimal places) ?
A. 40,000 B. 19,275 C. 16,163 D. 62,206
Solution:
Department G | |||
Computation of Equivalent unit (FIFO) | |||
Particulars | Physical units | Material | Conversion |
Units to be accounted for: | |||
Beginning WIP Inventory | 3600 | ||
Units started this period | 10400 | ||
Total unit to be accounted for | 14000 | ||
Units Accounted for: | |||
Units completed and transferred out | |||
From
beginning inventory Material - 0% Conversion - 75% |
3600 | 0 | 2700 |
Started and completed currently | 7400 | 7400 | 7400 |
Transferred to finished goods | 11000 | 7400 | 10100 |
Units in
ending WIP Material - 100% Conversion - 20% |
3000 | 3000 | 600 |
Total units accounted for | 14000 | 10400 | 10700 |
Department G | |||
Computation of Cost per Equivalent unit | |||
Particulars | Total cost | Material | Conversion |
Current period cost | $171,200.00 | $83,200.00 | $88,000.00 |
Equivalent units | 10400 | 10700 | |
Cost per equivalent unit | $8.0000 | $8.2243 |
Department G | |||
Department G | |||
Particulars | Total cost | Material | Conversion |
Cost Accounted for : | |||
Cost assigned to unit transferred out: | |||
Cost from beginning WIP Inventory | $40,000 | ||
Current cost added to complete beginning WIP: | |||
Material | $0 | $0 | |
Conversion (2700 * $8.2243) | $22,206 | $22,206 | |
Total Cost from beginning inventory | $62,206 |
Hence option D is correct.
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