Periodic Inventory by Three Methods
Dymac Appliances uses the periodic inventory system. Details regarding the inventory of appliances at January 1, purchases invoices during the next 12 months, and the inventory count at December 31 are summarized as follows:
| Purchases Invoices | |||||||||||
| Model | Inventory, January 1 |
1st | 2nd | 3rd | Inventory Count, December 31 |
||||||
| A10 | __ | 4 at | $ 44 | 4 at | $ 47 | 4 at | $ 50 | 5 | |||
| B15 | 8 at | $ 82 | 4 at | 73 | 3 at | 79 | 6 at | 86 | 7 | ||
| E60 | 3 at | 74 | 3 at | 64 | 15 at | 67 | 9 at | 69 | 5 | ||
| G83 | 7 at | 248 | 6 at | 256 | 5 at | 266 | 10 at | 265 | 9 | ||
| J34 | 12 at | 85 | 10 at | 87 | 16 at | 94 | 16 at | 95 | 13 | ||
| M90 | 2 at | 125 | 2 at | 127 | 3 at | 145 | 3 at | 147 | 5 | ||
| Q70 | 5 at | 165 | 4 at | 175 | 4 at | 180 | 7 at | 185 | 8 | ||
required
Determine the cost of the inventory on December 31 by the first-in, first-out method.
If the inventory of a particular model comprises one entire purchase plus a portion of another purchase acquired at a different unit cost, use a separate line for each purchase. If units are in inventory at two different costs, enter the units PURCHASED MOST RECENTLY first.
| Dymac Appliances Cost of the Inventory-FIFO Method December 31 |
|||||
|---|---|---|---|---|---|
| Model | Quantity | Unit Cost | Total Cost | ||
| A10 | $ | $ | |||
| A10 | |||||
| B15 | |||||
| B15 | |||||
| E60 | |||||
| G83 | |||||
| J34 | |||||
| M90 | |||||
| M90 | |||||
| Q70 | |||||
| Q70 | |||||
| Total | $ | ||||
2. Determine the cost of the inventory on December 31 by the last-in, first-out method.
If the inventory of a particular model comprises one entire purchase plus a portion of another purchase acquired at a different unit cost, use a separate line for each purchase. If units are in inventory at two different costs, enter the OLDEST units first.
| Dymac Appliances Cost of the Inventory-LIFO Method December 31 |
|||||
|---|---|---|---|---|---|
| Model | Quantity | Unit Cost | Total Cost | ||
| A10 | $ | $ | |||
| A10 | |||||
| B15 | |||||
| E60 | |||||
| E60 | |||||
| G83 | |||||
| G83 | |||||
| J34 | |||||
| J34 | |||||
| M90 | |||||
| M90 | |||||
| M90 | |||||
| Q70 | |||||
| Q70 | |||||
| Total | $ | ||||
3. Determine the cost of the inventory on December 31 by the weighted average cost method.
| Dymac Appliances Cost of the Inventory-Weighted Average Method December 31 |
|||||
|---|---|---|---|---|---|
| Model | Quantity | Unit Cost | Total Cost | ||
| A10 | $ | $ | |||
| B15 | |||||
| E60 | |||||
| G83 | |||||
| J34 | |||||
| M90 | |||||
| Q70 | |||||
| Total | $ | ||||
4. would be preferred for income tax purposes in periods of rising prices.
Answer 1. The cost of the inventory on December 31 by the First-In, First-Out (FIFO) method:
To determine the cost of remaining inventory in FIFO method, first we have to check the units of last lot that came in. If the inventory count at December 31 is lesser than the last lot, then the unit cost will be the same that of the last lot. If the inventory count at December 31 is greater than the last lot, then the unit cost will be the sum of units at last lot plus the balance units in the inventory count multiplied by their unit cost and so on. Hence in the problem the solution is as follows:
| Dymac Appliances | |||||
| Cost of the Inventory-FIFO Method | |||||
| Dec-31 | |||||
| Model | Quantity | Unit Cost | Total Cost | ||
| A10 | 4 | $ | 47 | $ | 188 |
| A10 | 1 | $ | 50 | $ | 50 |
| B15 | 1 | $ | 79 | $ | 79 |
| B15 | 6 | $ | 86 | $ | 516 |
| E60 | 5 | $ | 69 | $ | 345 |
| G83 | 9 | $ | 265 | $ | 2385 |
| J34 | 13 | $ | 95 | $ | 1235 |
| M90 | 2 | $ | 145 | $ | 290 |
| M90 | 3 | $ | 147 | $ | 441 |
| Q70 | 1 | $ | 180 | $ | 180 |
| Q70 | 7 | $ | 185 | $ | 1295 |
| Total | 52 | $ | 7004 | ||
The cost of inventory as per FIFO is $ 7004 for all the models. In the above if the last lot remained the unit cost will be the same (for e.g. G83 model) otherwise before lot also to be considered (for eg., B15 model).
Answer 2 :The cost of the inventory on December 31 by the Last-In, First-Out (LIFO) method: In LIFO method the inventory count will be made from the opening balance lot. If the inventory count at December 31 is lesser than the opening balance, then the unit cost will be the same that of the opening balance. If the inventory count at December 31 is greater than the opening Balance, then the unit cost will be the sum of units at first lot plus the balance units in the opening balance multiplied by their unit cost and so on. The solution is self-explanatory hence workings are not provided.
| Dymac Appliances | |||||
| Cost of the Inventory-LIFO Method | |||||
| Dec-31 | |||||
| Model | Quantity | Unit Cost | Total Cost | ||
| A10 | 1 | $ | 44 | $ | 44 |
| A10 | 4 | $ | 47 | $ | 188 |
| B15 | 7 | $ | 82 | $ | 574 |
| E60 | 3 | $ | 74 | $ | 222 |
| E60 | 2 | $ | 64 | $ | 128 |
| G83 | 7 | $ | 248 | $ | 1736 |
| G83 | 2 | $ | 256 | $ | 512 |
| J34 | 12 | $ | 85 | $ | 1020 |
| J34 | 1 | $ | 87 | $ | 87 |
| M90 | 2 | $ | 125 | $ | 250 |
| M90 | 2 | $ | 127 | $ | 254 |
| M90 | 1 | $ | 145 | $ | 145 |
| Q70 | 5 | $ | 165 | $ | 825 |
| Q70 | 3 | $ | 175 | $ | 525 |
| Total | 52 | $ | $ | 6510 | |
Hence, the cost of inventory as per LIFO Method is $6510
Answer 3: The cost of the inventory on December 31 by the weighted average cost method is determined by the following formula:
(No. of units per first lot X Unit Cost per first lot) +
(No. of units per second lot X Unit Cost per second lot)+n lots
Weighted Average cost=_________________________________________________________
Total No of units in all lots of inventory
| Dymac Appliances | |||||
| Cost of the Inventory-Weighted Average Method | |||||
| Dec-31 | |||||
| Model | Quantity | Unit Cost | Total Cost | ||
| A10 | 5 | $ | 47 | $ | 235 |
| B15 | 7 | $ | 81 | $ | 567 |
| E60 | 5 | $ | 68 | $ | 340 |
| G83 | 9 | $ | 259 | $ | 2331 |
| J34 | 13 | $ | 91 | $ | 1183 |
| M90 | 5 | $ | 138 | $ | 690 |
| Q70 | 8 | $ | 177 | $ | 1416 |
| Total | 52 | $ | 6762 | ||
Hence, the cost of inventory as per weighted average method is $6762
Workings:
| Description | A10 | B15 | E60 | G83 | J34 | M90 | Q70 | ||||||||||||||
| Units | Cost$ | Value$ | Units | Cost$ | Value$ | Units | Cost$ | Value$ | Units | Cost$ | Value$ | Units | Cost$ | Value$ | Units | Cost$ | Value$ | Units | Cost$ | Value$ | |
| Opening | 0 | 0 | 8 | 82 | 656 | 3 | 74 | 222 | 7 | 248 | 1736 | 12 | 85 | 1020 | 2 | 125 | 250 | 5 | 165 | 825 | |
| 1st | 4 | 44 | 176 | 4 | 73 | 292 | 3 | 64 | 192 | 6 | 256 | 1536 | 10 | 87 | 870 | 2 | 127 | 254 | 4 | 175 | 700 |
| 2nd | 4 | 47 | 188 | 3 | 79 | 237 | 15 | 67 | 1005 | 5 | 266 | 1330 | 16 | 94 | 1504 | 3 | 145 | 435 | 4 | 180 | 720 |
| 3rd | 4 | 50 | 200 | 6 | 86 | 516 | 9 | 69 | 621 | 10 | 265 | 2650 | 16 | 95 | 1520 | 3 | 147 | 441 | 7 | 185 | 1295 |
| Total | 12 | 564 | 21 | 1701 | 30 | 2040 | 28 | 7252 | 54 | 4914 | 10 | 1380 | 20 | 3540 | |||||||
| Avg Cost | 47 | 81 | 68 | 259 | 91 | 138 | 177 | ||||||||||||||
| Inventory | 5 | 7 | 5 | 9 | 13 | 5 | 8 | ||||||||||||||
| Cost | 235 | 567 | 340 | 2331 | 1183 | 690 | 1416 | ||||||||||||||
Answer: Yes. FIFO method is preferred to consider for income tax purpose when prices are rising in order to show higher cost and lowering profits.
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