Math Problem Statement
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:
- Beginning Inventory: 40 units at $110 = $4,400
- Purchase: 240 units at $112 = $26,880
- 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:
-
First 40 units come from the beginning inventory:
-
Next 120 units come from the July 5 purchase:
Total Cost of Goods Sold (COGS):
Add the costs for the 160 units:
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:
- How would the result change under the LIFO (Last-In, First-Out) method?
- What is the total ending inventory value after the sale?
- How is the periodic inventory system different from a perpetual system?
- How would the results differ if prices were decreasing instead of increasing?
- 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
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