In: Accounting
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 the period $40,000
Costs added during the 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 THE DEPARTMENTAL WORK IN PROCESS INVENTORY AT THE END OF THE PERIOD (round unit cost calculations to four decimal places)?
a. $16,163
b. $35,670
c. $21,432
d. $28,935
Answer: Option D $28,935
Working:
Equivalent units(FIFO) |
||||
Physical units |
Direct materials |
Conversion costs |
||
Work in process, beginning of period |
3600 |
0 |
2700 |
=3600*(1-25%) |
Units started and completed |
7400 |
7400 |
7400 |
=11000-3600 |
Work in process, end of period |
3000 |
3000 |
600 |
=3000*20% |
Equivalent units of production |
14000 |
10400 |
10700 |
|
Direct materials |
Conversion costs |
Total |
||
Costs added during period |
83200 |
88000 |
||
Divide by Equivalent units of production |
10400 |
10700 |
||
Cost per Equivalent unit of production |
8.000 |
8.2243 |
16.2243 |
|
Equivalent units of Ending inventory |
3,000 |
6,00 |
||
X Cost per Equivalent unit of production |
8.000 |
8.2243 |
||
Total Cost of the Ending inventory |
24,000 |
4,935 |
$28,935 |
|
Option D $28,935 is correct |