Department G had 2,040 units 25% completed at the beginning of the period, 12,500 units were completed during the period, 1,700 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 $34,900 Costs added during period: Direct materials (12,160 units at $8) 97,280 Direct labor 74,400 Factory overhead 24,800 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 the departmental work in process inventory at the end of the period (round unit cost calculations to four decimal places and round your final answer to the nearest dollar)? a.$21,237 b.$13,600 c.$15,652 d.$16,336
Solution:
Equivalent units of production (EUP) - FIFO method | |||||
Units | % material | EUP-Materials | % Conversion | EUP- Conversion | |
units in process, beginning | 2040 | 0% | 0 | 75% | 1530 |
Units started and completed (12500-2040) | 10460 | 100% | 10460 | 100% | 10460 |
Toal units completed and transferred out | 10460 | 11990 | |||
Units in process, ending | 1700 | 100% | 1700 | 20% | 340 |
Equivalent units of production | 12160 | 12330 |
Cost per Equivalent unit: | Material | Conversion |
Cost added during the month | 97280 | 99200 |
/Equivalent units of Production | 12160 | 12330 |
Cost per Equivalent unit of Production | 8.0000 | 8.0454 |
Cost of ending work in process | EUP | Cost per EUP | Total Cost |
Material | 1700 | $8.00 | $13,600 |
Conversion | 340 | $8.05 | $2,736 |
Total Ending work in process | $16,336 |
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