Math Problem Statement
Solution
To find the average unit cost for inventory, we use the weighted average formula:
Step 1: Calculate Total Cost
- For 150 units at $6:
- For 350 units at $7:
The total cost of inventory is:
Step 2: Calculate Total Units
The total number of units is:
Step 3: Find the Average Unit Cost
Substitute into the formula:
Final Answer:
The average unit cost for inventory is $6.70.
Correct Option: c. $6.70
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Here are 5 related questions to expand your understanding:
- How would the average unit cost change if more units at $8 were added?
- What is the difference between weighted average cost and FIFO methods in inventory valuation?
- If only 50 units were sold, how would you calculate the ending inventory value?
- How does the average cost method impact financial statements during inflation?
- If prices are decreasing, which inventory method (FIFO, LIFO, or average cost) is most favorable?
Tip: In inventory costing, the weighted average cost method smooths out price fluctuations over time.
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Math Problem Analysis
Mathematical Concepts
Weighted Average
Inventory Costing
Formulas
Average Unit Cost = Total Cost of Inventory / Total Units
Theorems
Weighted Average Formula
Suitable Grade Level
Grades 9-11
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