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Sagot :
Sure, let's tackle this problem step-by-step. We need to adjust the inventory costing method from FIFO to the average method and see how this affects Fleri Foods' retained earnings and income statements.
### 1. Journal Entry at the Beginning of 2024 to Record the Change in Accounting Principle
At the beginning of 2024, we need to record the effect of the change in accounting principle on retained earnings.
Journal Entry:
1. Calculate the cumulative effect of the change on retained earnings for 2022 and 2023:
Cost of Goods Sold (FIFO):
- 2022: [tex]\((48) \text{ million}\)[/tex]
- 2023: [tex]\((50) \text{ million}\)[/tex]
Cost of Goods Sold (Average):
- 2022: [tex]\((72) \text{ million}\)[/tex]
- 2023: [tex]\((76) \text{ million}\)[/tex]
Difference in Cost of Goods Sold:
- 2022: [tex]\((72 - 48) = 24 \text{ million}\)[/tex]
- 2023: [tex]\((76 - 50) = 26 \text{ million}\)[/tex]
Cumulative Effect on Retained Earnings:
- [tex]\((24 + 26) = 50 \text{ million}\)[/tex]
Journal Entry:
[tex]\[ \begin{align*} \text{Retained Earnings} & \quad \text{Debit} \quad 50 \text{ million}\\ \text{Inventory} & \quad \text{Credit} \quad 50 \text{ million} \end{align*} \][/tex]
This entry records the cumulative increase in cost of goods sold under the average method, which decreases retained earnings.
### 2. Comparative Income Statements for 2024 and 2023
We need to adjust the income statements to reflect the average costing method:
[tex]\[ \begin{tabular}{lrr} \hline (\$ in millions) & 2023 (Average) & 2024 (Average) \\ \hline Revenues & 490 & 520 \\ Cost of Goods Sold (Average) & (76) & (82) \\ Gross Profit & 414 & 438 \\ Operating Expenses & (290) & (294) \\ Operating Income & 124 & 144 \\ \hline \end{tabular} \][/tex]
### 3. Determination of Retained Earnings at January 1, 2023, Using FIFO Method
First, let's calculate the retained earnings at the beginning of 2023 using FIFO:
Income for 2022:
- Revenues: 480 million
- Cost of Goods Sold (FIFO): [tex]\(48 \text{ million}\)[/tex]
- Operating Expenses: [tex]\( (282) \text{ million}\)[/tex]
- Net Income for 2022: [tex]\(480 - 48 - 282 = 150 \text{ million}\)[/tex]
- Dividends: [tex]\(29 \text{ million}\)[/tex]
- Retained Earnings for 2022: [tex]\( 150 - 29 = 121 \text{ million}\)[/tex]
Retained Earnings for 2023:
- Assume beginning retained earnings: [tex]\(\text{R.E.}_{2022} = 121 \text{ million} \)[/tex]
- Net Income for 2023 (FIFO-based): [tex]\((490 - 50 - 290 = 150 \text{ million})\)[/tex]
- Dividends: [tex]\(29 \text{ million}\)[/tex]
- Retained Earnings: [tex]\(121 + 150 - 29 = 242 \text{ million}\)[/tex]
### 4. Adjustment of Balance in Retained Earnings on January 1, 2023, Using Average Method
Now adjust the retained earnings for the impact of switching to the average method:
Cumulative Impact (as calculated above):
[tex]\(24 \text{ million} (for 2022) + 26 \text{ million} (for 2023)\)[/tex]
Average Method Retained Earnings:
- Retained Earnings for 2023: FIFO-based [tex]\(242 \text{ million}\)[/tex]
- Less Cumulative Adjustment: [tex]\(50 \text{ million}\)[/tex]
- Retained Earnings: [tex]\(242 - 50 = 192 \text{ million}\)[/tex]
### Summary:
- Prepare the journal entry for the change in accounting principle.
- Adjust the comparative income statements for 2023 and 2024.
- Determine FIFO-based retained earnings at the beginning of 2023.
- Adjust retained earnings for the average costing method.
Note: Taxes are ignored as per the problem's instructions.
### 1. Journal Entry at the Beginning of 2024 to Record the Change in Accounting Principle
At the beginning of 2024, we need to record the effect of the change in accounting principle on retained earnings.
Journal Entry:
1. Calculate the cumulative effect of the change on retained earnings for 2022 and 2023:
Cost of Goods Sold (FIFO):
- 2022: [tex]\((48) \text{ million}\)[/tex]
- 2023: [tex]\((50) \text{ million}\)[/tex]
Cost of Goods Sold (Average):
- 2022: [tex]\((72) \text{ million}\)[/tex]
- 2023: [tex]\((76) \text{ million}\)[/tex]
Difference in Cost of Goods Sold:
- 2022: [tex]\((72 - 48) = 24 \text{ million}\)[/tex]
- 2023: [tex]\((76 - 50) = 26 \text{ million}\)[/tex]
Cumulative Effect on Retained Earnings:
- [tex]\((24 + 26) = 50 \text{ million}\)[/tex]
Journal Entry:
[tex]\[ \begin{align*} \text{Retained Earnings} & \quad \text{Debit} \quad 50 \text{ million}\\ \text{Inventory} & \quad \text{Credit} \quad 50 \text{ million} \end{align*} \][/tex]
This entry records the cumulative increase in cost of goods sold under the average method, which decreases retained earnings.
### 2. Comparative Income Statements for 2024 and 2023
We need to adjust the income statements to reflect the average costing method:
[tex]\[ \begin{tabular}{lrr} \hline (\$ in millions) & 2023 (Average) & 2024 (Average) \\ \hline Revenues & 490 & 520 \\ Cost of Goods Sold (Average) & (76) & (82) \\ Gross Profit & 414 & 438 \\ Operating Expenses & (290) & (294) \\ Operating Income & 124 & 144 \\ \hline \end{tabular} \][/tex]
### 3. Determination of Retained Earnings at January 1, 2023, Using FIFO Method
First, let's calculate the retained earnings at the beginning of 2023 using FIFO:
Income for 2022:
- Revenues: 480 million
- Cost of Goods Sold (FIFO): [tex]\(48 \text{ million}\)[/tex]
- Operating Expenses: [tex]\( (282) \text{ million}\)[/tex]
- Net Income for 2022: [tex]\(480 - 48 - 282 = 150 \text{ million}\)[/tex]
- Dividends: [tex]\(29 \text{ million}\)[/tex]
- Retained Earnings for 2022: [tex]\( 150 - 29 = 121 \text{ million}\)[/tex]
Retained Earnings for 2023:
- Assume beginning retained earnings: [tex]\(\text{R.E.}_{2022} = 121 \text{ million} \)[/tex]
- Net Income for 2023 (FIFO-based): [tex]\((490 - 50 - 290 = 150 \text{ million})\)[/tex]
- Dividends: [tex]\(29 \text{ million}\)[/tex]
- Retained Earnings: [tex]\(121 + 150 - 29 = 242 \text{ million}\)[/tex]
### 4. Adjustment of Balance in Retained Earnings on January 1, 2023, Using Average Method
Now adjust the retained earnings for the impact of switching to the average method:
Cumulative Impact (as calculated above):
[tex]\(24 \text{ million} (for 2022) + 26 \text{ million} (for 2023)\)[/tex]
Average Method Retained Earnings:
- Retained Earnings for 2023: FIFO-based [tex]\(242 \text{ million}\)[/tex]
- Less Cumulative Adjustment: [tex]\(50 \text{ million}\)[/tex]
- Retained Earnings: [tex]\(242 - 50 = 192 \text{ million}\)[/tex]
### Summary:
- Prepare the journal entry for the change in accounting principle.
- Adjust the comparative income statements for 2023 and 2024.
- Determine FIFO-based retained earnings at the beginning of 2023.
- Adjust retained earnings for the average costing method.
Note: Taxes are ignored as per the problem's instructions.
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