Shown Below Is Activity For One Of The Denver Products

Shown Below Is Activity For One Of The Products Of Denver Office Equip

Shown below is activity for one of the products of Denver Office Equipment: January 1 balance, 500 units @ $55 per unit $27,500 Purchases: January 10: 500 units @ $60 per unit January 20: 1,000 units @ $63 per unit Sales: January 12: 800 units January 28: 750 units Required: (12 points) Compute the January 31 ending inventory and cost of goods sold for January, assuming Denver uses LIFO and a perpetual inventory system.

Paper For Above instruction

The task requires calculating the ending inventory and cost of goods sold (COGS) for Denver Office Equipment's product for the month of January, based on the given activity data, using the Last-In, First-Out (LIFO) method within a perpetual inventory system.

Introduction

Managing inventory effectively is vital for any business, especially when it involves fluctuating purchase prices and frequent sales. Denver Office Equipment's activity during January presents a typical scenario that requires applying the LIFO method in a perpetual system to determine accurate inventory valuations and COGS. This approach ensures that the most recent costs are recognized first when calculating costs for sold inventory, providing a realistic measure aligned with current market values.

Inventory Activity and Data Overview

The inventory activity for January includes:

- Opening balance on January 1: 500 units @ $55 = $27,500.

- Purchases:

- January 10: 500 units @ $60.

- January 20: 1,000 units @ $63.

- Sales:

- January 12: 800 units.

- January 28: 750 units.

Applying the perpetual inventory system means updating the inventory records after each transaction, reflecting real-time inventory levels and costs.

Step 1: Calculate Inventory and COGS after January 12 Sale

Begin with the initial inventory:

- January 1: 500 units @ $55.

On January 10, a purchase of 500 units @ $60 occurs, updating inventory to:

- 500 units @ $55.

- 500 units @ $60.

Sales on January 12:

- Sale of 800 units.

Under LIFO, the most recent inventory is sold first:

- First, sell 500 units @ $60.

- Remaining 300 units (to complete 800 units sold) are from the previous layer:

- 300 units @ $55.

Cost of goods sold for January 12:

- 500 units @ $60 = $30,000.

- 300 units @ $55 = $16,500.

- Total COGS = $46,500.

Remaining inventory after January 12:

- 200 units @ $55 (since 500 units - 300 units sold) = $11,000.

- 500 units @ $60 (initial purchase, minus 500 units sold) = 0 units remaining.

- Inventory now:

- 200 units @ $55.

- 0 units @ $60.

- 0 units @ $63.

Step 2: Update Inventory after January 20 Purchase

On January 20:

- Purchase of 1,000 units @ $63.

Inventory now:

- 200 units @ $55.

- 1,000 units @ $63.

Step 3: Calculate Inventory and COGS after January 28 Sale

Sales on January 28:

- 750 units.

Under LIFO:

- First, sell 750 units from the most recent layer:

- 750 units @ $63 (from January 20 purchase).

Cost of goods sold for January 28:

- 750 units @ $63 = $47,250.

Remaining inventory:

- 250 units @ $63 (out of 1,000 units purchased).

- 200 units @ $55.

Total ending inventory:

- 250 units @ $63 = $15,750.

- 200 units @ $55 = $11,000.

- Total ending inventory = $26,750.

Summary:

- Cost of Goods Sold (COGS):

- January 12: $46,500.

- January 28: $47,250.

- Total COGS for January: $93,750.

- Ending Inventory as of January 31:

- 250 units @ $63 = $15,750.

- 200 units @ $55 = $11,000.

- Total Ending Inventory: $26,750.

Conclusion:

Using the LIFO method in a perpetual inventory system, the total cost of goods sold for January amounts to $93,750, while the ending inventory on January 31 is valued at $26,750. This approach accurately reflects the real-time inventory costs and sales, providing reliable financial insights.

References

  • Brigham, E. F., & Ehrhardt, M. C. (2019). Financial Management: Theory & Practice. Cengage Learning.
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  • Title of relevant article or webpage, Date accessed, URL
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  • Investopedia. (2023). Understanding the LIFO Method. https://www.investopedia.com
  • Accounting Standards Codification (ASC) 330 — Inventory (FASB). Financial Accounting Standards Board.
  • International Financial Reporting Standards (IFRS) (2019). IAS 2 — Inventories. IFRS Foundation.