SmithKline Company maintains inventory records at selling prices as well as at cost. For 2024, the records indicate the following data. Beginning inventory cost $84. Retail $120. Purchases cost $632. Retail $1105. Freight in on purchase cost $29. Retail $0. Purchase returns cost $1. Retail $1. Net markups $0. Cost $3. Retail. Net markdown cost $7. Retail. Net sales $0. Cost. Retail $950. Assuming the price level increased from $1.00 at January 1st to $1.65 at December 31st, 2024, use the $VALUE LIFO retail method to approximate cost of ending inventory and cost of goods sold. Round your immediate and final answers to the nearest whole dollar.

1 answer

To calculate the ending inventory and cost of goods sold (COGS) using the VALUE LIFO retail method, we follow these steps:

  1. Calculate the values required to determine ending inventory at retail. We'll compile the total retail sales, total retail purchases, and the starting inventory.

Step 1: Calculate Total Retail Values

  • Beginning Inventory:

    • Cost: $84
    • Retail: $120
  • Purchases:

    • Cost: $632
    • Retail: $1105
    • Freight In: $29 (This is added to the purchases cost but has no retail value)
    • Purchase Returns: $1 (This is subtracted from both cost and retail)
  • Net Markups:

    • Cost: $3
    • Retail: $0 (This does not affect the retail balance)
  • Net Markdowns:

    • Cost: $7
    • Retail: $0 (This does not affect the retail balance)
  • Net Sales:

    • Cost: $0
    • Retail: $950

Step 2: Calculate the Retail Ending Inventory

Total retail after transactions:

  • To start with: \[ \text{Total Beginning Inventory (Retail)} = 120 \]

  • Add Purchases: \[ 120 + 1105 = 1225 \]

  • Adjust for Purchase Returns: \[ 1225 - 1 = 1224 \]

  • Subtract Net Sales: \[ 1224 - 950 = 274 \]

So, Ending Inventory at Retail = $274

Step 3: Calculate Cost-to-Retail Percentage

Total Cost:

  • Beginning Inventory Cost: $84

  • Purchases Cost: \[ 632 + 29 - 1 = 660 \]

  • Total Cost After All Adjustments: \[ 84 + 660 = 744 \]

Cost-to-Retail Percentage: \[ \text{Cost-to-Retail Percentage} = \frac{\text{Total Cost}}{\text{Total Retail}} = \frac{744}{1224} \approx 0.609 \]

Step 4: Calculate Ending Inventory at Cost

To find the ending inventory at cost: \[ \text{Ending Inventory at Cost} = \text{Ending Inventory at Retail} \times \text{Cost-to-Retail Percentage} \] \[ \text{Ending Inventory at Cost} = 274 \times 0.609 \approx 167 \]

Step 5: Calculate Cost of Goods Sold (COGS)

Cost of Goods Sold (COGS) = Total Cost - Ending Inventory at Cost \[ \text{COGS} = 744 - 167 = 577 \]

Final Results:

  • Ending Inventory at Cost: $167
  • Cost of Goods Sold (COGS): $577

Thus, rounding to the nearest whole dollar:

  • Ending Inventory: $167
  • COGS: $577