In: Accounting
Department G had 1,800 units 25% completed at the beginning of the period, 13,200 units were completed during the period, 1,500 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 | $31,000 |
Costs added during period: | |
Direct materials (12,900 units at $9) | 116,100 |
Direct labor | 85,800 |
Factory overhead | 28,600 |
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 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.$15,472
b.$16,129
c.$20,968
d.$13,500
Calculstion of equivalent units of production for the period | ||||||
Physical Units | % Complete with respect to Direct Materials Costs | Equivalent Units for Material Costs | % Complete with respect to Coversion Costs (Labor + Factory Overheads) | Equivalent Units for Conversion Cost | ||
Units completed from Beginning work in process | 1800 | 0% | 0 | 75% | 1350 | |
Units completed from units added during the period | 11400 | 100% | 11400 | 100% | 11400 | |
Units in ending work in process | 1500 | 100% | 1500 | 20% | 300 | |
Equivalent Units | 12900 | 13050 | ||||
Calculation of unit cost | ||||||
Direct Material | Conversion | |||||
Cost added during the period | $116,100.00 | $114,400.00 | ||||
Total cost to account for | $116,100.00 | $114,400.00 | ||||
/ Equivalent Units | 12900 | 13050 | ||||
Unit cost | $9.0000 | $8.7663 | ||||
The total cost of the departmental work in process inventory at the end of the period | ||||||
Cost | ||||||
Direct Material [1500 units * $9] | $13,500 | |||||
Conversion [300 units * $8.7663] | $2,630 | |||||
Cost of ending work in process | $16,130 | |||||
The answer is Option b. |