Math Problem Statement

Assuming that a periodic inventory system is used, what is the amount allocated to the units sold on a FIFO basis?

Solution

To determine the amount allocated to the units sold on a FIFO (First-In, First-Out) basis, we calculate step-by-step:


Inventory Data:

  1. Beginning Inventory: 40 units at $110 = $4,400
  2. Purchase: 240 units at $112 = $26,880
  3. Sale: 160 units

FIFO Method (First-In, First-Out):

Under FIFO, the oldest inventory is sold first. Here's how we allocate the 160 units sold:

  1. First 40 units come from the beginning inventory:
    40units×110per unit=4,40040 \, \text{units} \times 110 \, \text{per unit} = 4,400

  2. Next 120 units come from the July 5 purchase:
    120units×112per unit=13,440120 \, \text{units} \times 112 \, \text{per unit} = 13,440


Total Cost of Goods Sold (COGS):

Add the costs for the 160 units:
4,400+13,440=17,8404,400 + 13,440 = 17,840


Answer:

The amount allocated to the units sold on a FIFO basis is:
c. $17,840


Do you want further clarification or have questions about FIFO? Let me know!


Related Questions:

  1. How would the result change under the LIFO (Last-In, First-Out) method?
  2. What is the total ending inventory value after the sale?
  3. How is the periodic inventory system different from a perpetual system?
  4. How would the results differ if prices were decreasing instead of increasing?
  5. How do we calculate the average cost per unit in this scenario?

Tip:

In a FIFO system, always start allocating costs from the oldest inventory first.

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Math Problem Analysis

Mathematical Concepts

Inventory Accounting
FIFO Method
Cost of Goods Sold (COGS)

Formulas

COGS = Units Sold × Unit Cost (using FIFO order)
Total Cost = Sum of oldest inventory costs first

Theorems

FIFO (First-In, First-Out) Principle

Suitable Grade Level

Grades 11-12 / College-level Accounting