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Beginning inventory, purchases, and sales for an inventory item are as follows:




Sep. 1 Beginning Inventory
24 units @ $10


5 Sale
17 units


17 Purchase
10 units @ $15


30 Sale
8 units




Assuming a perpetual inventory system and the last-in, first-out method:
a. Determine the cost of goods sold for the September 30 sale.

$ 
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b. Determine the inventory on September 30 .

$ 
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Beginning inventory, purchases, and sales for an inventory item are as follows:\newline\begin{tabular}{ll} \newlineSep. 11 Beginning Inventory & 2424 units @ \$\(10\) \\\(\newline\)\(5\) Sale & \(17\) units \\\(\newline\)\(17\) Purchase & \(10\) units @ \$\(15\) \\\(\newline\)\(30\) Sale & \(8\) units\(\newline\)\end{tabular}\(\newline\)Assuming a perpetual inventory system and the last-in, first-out method:\(\newline\)a. Determine the cost of goods sold for the September \(30\) sale.\(\newline\)\( \$ \) \( \square \)\(\newline\)b. Determine the inventory on September \(30\) .\(\newline\)\( \$ \) \( \square \)

Full solution

Q. Beginning inventory, purchases, and sales for an inventory item are as follows:\newline\begin{tabular}{ll} \newlineSep. 11 Beginning Inventory & 2424 units @ \$\(10\) \\\(\newline\)\(5\) Sale & \(17\) units \\\(\newline\)\(17\) Purchase & \(10\) units @ \$\(15\) \\\(\newline\)\(30\) Sale & \(8\) units\(\newline\)\end{tabular}\(\newline\)Assuming a perpetual inventory system and the last-in, first-out method:\(\newline\)a. Determine the cost of goods sold for the September \(30\) sale.\(\newline\)\( \$ \) \( \square \)\(\newline\)b. Determine the inventory on September \(30\) .\(\newline\)\( \$ \) \( \square \)
  1. LIFO method used: For the September 3030 sale of 88 units, we use LIFO, so we sell the most recently purchased items first.
  2. Cost of goods sold: We have 1010 units from the September 1717 purchase at $15\$15 each. We sell 88 of these units.\newlineCost of goods sold = 88 units * $15\$15/unit = $120\$120.
  3. Remaining inventory after sale: Now, determine the remaining inventory after the September 3030 sale.
  4. Inventory calculation: We sold 88 units from the September 1717 purchase, leaving 22 units at $15\$15 each.
  5. Inventory calculation: We sold 88 units from the September 1717 purchase, leaving 22 units at $15\$15 each.From the beginning inventory, we have 2424 units, but we sold 1717 units on September 55, leaving 77 units at $10\$10 each.
  6. Inventory calculation: We sold 88 units from the September 1717 purchase, leaving 22 units at $15\$15 each.From the beginning inventory, we have 2424 units, but we sold 1717 units on September 55, leaving 77 units at $10\$10 each.The remaining inventory is 22 units at $15\$15 each and 77 units at $10\$10 each.\newlineInventory = 171733.

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