In: Accounting
Department A had 4,600 units in Work in Process that were 74% completed at the beginning of the period at a cost of $6,100. During the period, 32,500 units of direct materials were added at a cost of $74,750 and 34,400 units were completed. At the end of the period, 2,700 units were 39% completed. All materials are added at the beginning of the process. Direct labor was $27,700, and factory overhead was $5,100. The cost of the 2,700 units in process at the end of the period if the first-in, first-out method is used to cost inventories was
a.$7,288 b.$6,749 c.$6,210 d.$8,366
Correct answer-----------a.$7,288
Working
| STEP 1 (FIFO) | |||||
| Reconciliation of Units | |||||
| Units | % already completed | % completed this period | |||
| Material | Conversion | Material | Conversion | ||
| Beginning WIP | 4,600 | 100% | 74% | 0% | 26% |
| Units introduced | 32,500 | ||||
| Total units to be accounted for | 37,100 | ||||
| Completed and Transferred unit | 34,400 | 0% | 0% | 100% | 100% |
| Ending WIP | 2,700 | 0% | 0% | 100% | 39% |
.
| STEP 2 (FIFO) | |||||
| Equivalent Units | |||||
| Total Units | Material | Conversion | |||
| Units Transferred: | % completed this period | Equivalent Units | % completed this period | Equivalent Units | |
| From WIP | 4,600 | 0% | - | 26% | 1,196 |
| From units started/Introduced | 29,800 | 100% | 29,800 | 100% | 29,800 |
| Total | 34,400 | 29,800 | 30,996 | ||
| Total Units | Material | Conversion | |||
| Ending WIP | % completed this period | Equivalent Units | % completed this period | Equivalent Units | |
| Total | 2,700 | 100% | 2,700 | 39% | 1,053 |
| Total EUP | 37,100 | 32,500 | 32,049 | ||
.
| STEP 3 | |||||
| Cost per Equivalent Units AND Cost to be accounted for | |||||
| Material | Conversion | TOTAL | |||
| Cost incurred in Current Period | $ 74,750 | $ 32,800 | $ 107,550 | ||
| Total Equivalent Units | 32,500 | 32,049 | |||
| Cost per Equivalent Units | $ 2.300 | $ 1.02 | $ 3.32 | ||
| Cost of Beginning WIP | $ 6,100 | ||||
| Total cost to be accounted for | $ 113,650 | ||||
Step 4
| Cost of | Ending WIP | 2,700.00 | units | |
| Equivalent Units [Step 2] | Cost per Equivalent Units [Step 3] | Cost of Ending WIP | TOTAL | |
| Material | 2,700 | $ 2.30 | $ 6,210 | |
| Conversion | 1,053 | $ 1.02 | $ 1,078 | |
| Total Cost of Ending WIP | $ 7,288 | |||