In: Accounting
Costs per Equivalent Unit
The following information concerns production in the Baking Department for March. All direct materials are placed in process at the beginning of production.
ACCOUNT Work in Process—Baking Department | ACCOUNT NO. | ||||||||
Date | Item | Debit | Credit | Balance | |||||
Debit | Credit | ||||||||
Mar. | 1 | Bal., 7,800 units, 2/3 completed | 17,940 | ||||||
31 | Direct materials, 140,400 units | 252,720 | 270,660 | ||||||
31 | Direct labor | 71,370 | 342,030 | ||||||
31 | Factory overhead | 40,150 | 382,180 | ||||||
31 | Goods finished, 142,200 units | 369,460 | 12,720 | ||||||
31 | Bal. ? units, 2/5 completed | 12,720 |
a. Based on the above data, determine each cost listed below. Round "cost per equivalent unit" answers to the nearest cent.
1. Direct materials cost per equivalent unit | $ |
2. Conversion cost per equivalent unit | $ |
3. Cost of the beginning work in process completed during March | $ |
4. Cost of units started and completed during March | $ |
5. Cost of the ending work in process | $ |
Assuming that the direct materials cost is the same for February and March, did the conversion cost per equivalent unit increase, decrease, or remain the same in March?
Units at the beginning |
7800 |
Units introduced/started |
140400 |
Total |
148200 |
Units completed |
142200 |
Units at the end |
6000 (148200-142200) |
Particulars |
Direct Material |
Direct Labor |
Factory Overhead |
|||
% |
Units |
% |
Units |
% |
Units |
|
At the beginning |
0% |
0 (7800*0%) |
1/3 |
2600 (7800*1/3) |
1/3 |
2600 (7800*1/3) |
Started and completed during the period |
100% |
142200 (142200*100%) |
100% |
142200 |
100% |
142200 |
At the end |
100% |
6000 |
2/5 |
2400 (6000*2/5) |
2/5 |
2400 (6000*2/5) |
Equivalent units |
148200 |
147200 |
147200 |
1. Direct material cost per equivalent unit
=Total material cost/ equivalent units
=252720/148200
=1.71
2. Conversion cost per equivalent unit
Conversion cost = Direct labor + Factory Overhead
= 71370+40150
= 111520
Equivalent units = 147200
Conversion cost per equivalent unit = 111520/147200 = 0.76
3. Cost of beginning work in process completed during the year
=prior period cost + current period cost
= 17940 + (2600 * 0.7576)
= 17940 + 1970
= 19910
4. Cost of units started and completed during the year
=142200 * (1.71+0.76)
= 142200*2.47
= 351235
5. Cost of ending work in progress
= 2400 * 2.47
= 5928