Math Problem Statement
Solution
To calculate Wooster's gross profit for 2021, let's go through the steps systematically.
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Total Revenue from Sales in 2021:
- Wooster sold 18,000 units at $400 per unit.
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Cost of Goods Sold (COGS) Using LIFO (Last-In, First-Out):
- Under the LIFO method, the most recent inventory is sold first.
- Wooster had an inventory of 15,000 units on January 1, 2021:
- 10,000 units from 2020 at $200 per unit.
- 5,000 units from 2019 at $150 per unit.
- Wooster sold 18,000 units in 2021, so we need to consider all of these units plus 3,000 additional units.
Step-by-Step COGS Calculation:
- First 10,000 units (from 2020) at $200 per unit:
- Next 5,000 units (from 2019) at $150 per unit:
- Remaining 3,000 units (new purchases in 2021) at $300 per unit:
Total COGS:
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Gross Profit Calculation:
- Gross Profit = Total Revenue - COGS
Answer: The correct answer is $3,550,000.
Would you like a deeper explanation on any part of the solution?
Related Questions
- How would the gross profit change if Wooster used FIFO instead of LIFO?
- What would the gross profit be if Wooster only sold 15,000 units?
- How does the increase in purchase cost ($300) affect the overall gross profit?
- Why might a company choose LIFO over FIFO for inventory accounting?
- How would Wooster's profit margin be impacted if the selling price per unit decreased?
Tip
In inventory management, LIFO tends to increase COGS and decrease gross profit when costs are rising, which can lead to tax benefits in inflationary periods.
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Math Problem Analysis
Mathematical Concepts
Inventory Accounting
Cost of Goods Sold (COGS)
Gross Profit Calculation
Formulas
Total Revenue = Units Sold * Price per Unit
COGS (LIFO) = Sum of Cost of Last Units Purchased
Gross Profit = Total Revenue - COGS
Theorems
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Suitable Grade Level
College/University - Accounting and Finance
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