Math Problem Statement

A company sells 100 units in June. Calculate the cost of goods sold using last-in, first-out.

Solution

This problem requires calculating the cost of goods sold (COGS) using the Last-In, First-Out (LIFO) inventory method. In LIFO, the last units purchased are sold first. The company sold 100 units in June, and we have the following inventory dataThis problem requires calculating the cost of goods sold (COGS) using the Last-In, First-Out (LIFO) inventory method. In LIFO, the last units purchased are sold first. The company sold 100 units in June, and we have the following inventory

DateUnits ReceivedUnit Cost
June 430 units$2.50
June 1160 units$2.00
June 1820 units$2.60
June 2550 units$2.10

Step-by-Step Calculation:

  1. Start with the most recent purchase (June 25):

    • 50 units at $2.10 each.
    • Total for these units: 50×2.10=105.0050 \times 2.10 = 105.00
  2. Next, go to the June 18 purchase:

    • 20 units at $2.60 each.
    • Total for these units: 20×2.60=52.0020 \times 2.60 = 52.00
  3. Next, go to the June 11 purchase:

    • 60 units were bought, but we only need 30 more units to reach the 100 units sold.
    • 30 units at $2.00 each.
    • Total for these units: 30×2.00=60.0030 \times 2.00 = 60.00
  4. Total cost of goods sold:

    • Sum of all totals:
      105.00+52.00+60.00=217.00105.00 + 52.00 + 60.00 = 217.00
  5. Calculate the average cost per unit: Since all 100 units are sold, the total cost is $217.00, so the cost per unit is:

    217.00100=2.17\frac{217.00}{100} = 2.17

Final Answer:

The cost of goods sold per unit is $2.17, rounded to the nearest cent.

Would you like any further details or clarifications?

Here are some related questions:

  1. What is the difference between LIFO and FIFO?
  2. How does LIFO affect taxes during inflation?
  3. Why might a company choose to use LIFO for inventory valuation?
  4. How would the COGS differ if FIFO was used instead of LIFO?
  5. What other inventory valuation methods exist besides LIFO and FIFO?

Tip: LIFO tends to increase the cost of goods sold during periods of rising prices, which can reduce taxable income.

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Math Problem Analysis

Mathematical Concepts

Inventory Valuation
Cost of Goods Sold
LIFO

Formulas

COGS = Units Sold × Unit Cost (LIFO method)

Theorems

LIFO (Last-In, First-Out) inventory valuation method

Suitable Grade Level

Grades 10-12 (Accounting/Finance)