Answer:
$6745
Step-by-step explanation:
Given: Beginning inventory is 77 units at the cost of $19 per unit.
Purchased inventory is 476 units at $19 per unit.
Sales during the month is 355 units at $45 per unit.
Now, let´s find the cost of goods sold using LIFO method.
We know, LIFO method is Last in first out, which sell out inventory, which are most recently purchased. In a period of rising prices, LIFO inventory method tends to give the highest reported cost of goods sold.
As sales unit is 355 units.
Let´s take units from recent purchased inventory.
Cost of good sold=

Hence, the cost of goods sold using the LIFO method is $6745.