To prepare the perpetual inventory schedule using the FIFO (First-In, First-Out) method, we need to track the inventory and cost of goods sold (COGS) over the given transactions. Start by recording the initial purchase, then subtract the units sold on June 1 from the oldest inventory (May 7 purchase). Next, add the July 28 purchase to the inventory. Finally, subtract the units sold on August 27, again using the oldest available inventory first.
On May 7, Vaughn Department Store purchased 55 units at a unit cost of $15. The initial inventory value is calculated as:
\[
55 \times 15 = 825
\]
Thus, the initial inventory balance is $825.
On June 1, 25 units were sold. Using the FIFO method, these units are taken from the May 7 purchase. The cost of goods sold (COGS) for this transaction is:
\[
25 \times 15 = 375
\]
After this sale, the remaining inventory from the May 7 purchase is:
\[
55 - 25 = 30 \text{ units}
\]
On July 28, an additional 30 units were purchased at a unit cost of $18. The inventory now consists of:
- 30 units at $15 (remaining from May 7)
- 30 units at $18 (new purchase)
On August 27, 46 units were sold. Using FIFO, the first 30 units are taken from the remaining May 7 inventory, and the next 16 units are taken from the July 28 purchase. The COGS for this transaction is:
\[
(30 \times 15) + (16 \times 18) = 450 + 288 = 738
\]
After this sale, the remaining inventory is:
- \(30 - 30 = 0\) units at $15
- \(30 - 16 = 14\) units at $18
The remaining inventory balance consists of 14 units at $18:
\[
14 \times 18 = 252
\]
- COGS on June 1: \(\boxed{375}\)
- COGS on August 27: \(\boxed{738}\)
- Remaining Inventory Balance: \(\boxed{252}\)