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