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