Final answer:
The cost of goods sold using the LIFO method would be $314.32. This figure is obtained by subtracting the value of the remaining inventory from the total value of goods available for sale, taking into account that the last items purchased are the first ones to be sold.
Step-by-step explanation:
To determine the cost of goods sold (COGS) using the Last-In, First-Out (LIFO) method, we must assume that the last units purchased are the first ones sold. Since there are 136 units remaining, we need to first find out which purchases are included in the ending inventory. We start with the most recent purchases and work backwards until we have accounted for all 136 units.
- January 29 purchase: 120 units $1.25 each = $150
- January 16 purchase: 16 units (out of 100) $1.23 each = $19.68
The remaining 136 units consist of the full January 29 purchase and 16 units from the January 16 purchase. This totals 136 units and the rest are assumed to have been sold.
Now, we calculate the cost of goods that would have been sold using the LIFO method:
- 100 units from January 16 purchase (not included in ending inventory) $1.23 each = $123
- 100 units from January 10 purchase $1.15 each = $115
- 80 units from Beginning Inventory $1.20 each = $96
- 16 units from January 16 purchase (included in ending inventory) subtracted = -$19.68
Adding these together:
$123 (January 16) + $115 (January 10) + $96 (Beginning Inventory) - $19.68 (Subtract part of January 16 included in ending inventory) = $314.32 COGS.