In: Accounting
3 Fraley Chemical Company accounts for its production activities using first-in, first-out (FIFO) process costing. Inventory records for the process show a January 1 work-in-process inventory of 10,000 gallons, 80 percent complete as to materials and 40 percent complete as to conversion. The January 31 inventory consisted of 15,000 gallons, 60 percent complete as to materials and 20 percent complete as to conversion. In January, 40,000 gallons were completed and transferred to the finished goods inventory. Costs in the Work-in-Process Inventory account in January are as follows: Materials Conversion Total Costs in beginning inventory $ 1,920 $ 672 $ 2,592 Costs added this period 8,405 5,694 14,099 Total cost to be accounted for $10,325 $6,366 $16,691 a. Using first-in, first-out (FIFO) process costing, calculate the equivalent units (in gallons) for January. b. Using first-in, first-out (FIFO) process costing, calculate the cost per equivalent unit for January. (keep answers to 3 decimal points for calculation of part c) c. Using first-in, first-out (FIFO) process costing, calculate the cost of the 40,000 gallons that were completed and transferred out in January. Show your calculations.
a. Using first-in, first-out (FIFO) process costing, calculate the equivalent units (in gallons) for January.
Materials | Conversion | |
Beginning work in process- units | (100%-80%)*10000= 2000 | (100%-40%)*10000= 6000 |
Units started and completed | 30000 | 30000 |
Ending work in process- units | (15000*60%)= 9000 | (15000*20%)= 3000 |
Equivalent units of production | 41000 | 39000 |
Units started and completed= Units completed and transferred-Beginning work in process- units
= 40000-10000= 30000 units
b. Using first-in, first-out (FIFO) process costing, calculate the cost per equivalent unit for January.
Materials | Conversion | |
Cost added this period | $8405 | $5694 |
Equivalent units of production | 41000 | 39000 |
Cost per equivalent unit | $0.205 | $0.146 |
c. Using first-in, first-out (FIFO) process costing, calculate the cost of the 40,000 gallons that were completed and transferred out in January.
Materials | Conversion | Total | |
Beginning work in process cost | $2592 | ||
Cost to completed beginning work in process units: | |||
Materials (2000*$0.205) | $410 | ||
Conversion (6000*$0.146) | 876 | ||
Total cost to complete beginning inventory | 1286 | ||
Cost of units started and completed | |||
Materials (30000*$0.205) | 6150 | ||
Conversion (30000*$0.146) | 4380 | ||
Total cost of units started and completed | 10530 | ||
Cost of units completed and transferred out | $14408 |
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