1. **Problem statement:** We need to find the ending balance of the warranty repair reserve account as of 2021.12.31 for company "A" which provides a 3-year warranty on its products. The reserve is set aside based on sales revenue with rates 2% for the 1st year, 3% for the 2nd year, and 5% for the 3rd year.
2. **Given data:**
- Sales revenue: 2019 = 20,000,000, 2020 = 28,000,000, 2021 = 36,000,000
- Actual costs incurred: 2019 = 900,000, 2020 = 1,360,000, 2021 = 1,120,000
3. **Formula and approach:**
The warranty reserve for each year's sales is calculated as:
$$\text{Reserve} = \text{Sales} \times (2\% + 3\% + 5\%) = \text{Sales} \times 10\%$$
But since the warranty covers 3 years, the reserve is recognized over 3 years with the respective percentages each year.
4. **Calculate reserves for each year as of 2021.12.31:**
- For 2019 sales (3rd year of warranty): only 5% applies
- For 2020 sales (2nd year): 3% + 5% = 8%
- For 2021 sales (1st year): 2% + 3% + 5% = 10%
5. **Calculate reserve amounts:**
- 2019 reserve remaining: $$20,000,000 \times 5\% = 1,000,000$$
- 2020 reserve remaining: $$28,000,000 \times (3\% + 5\%) = 28,000,000 \times 8\% = 2,240,000$$
- 2021 reserve remaining: $$36,000,000 \times (2\% + 3\% + 5\%) = 36,000,000 \times 10\% = 3,600,000$$
6. **Sum all remaining reserves:**
$$1,000,000 + 2,240,000 + 3,600,000 = 6,840,000$$
7. **Final answer:** The ending balance of the warranty repair reserve account on 2021.12.31 is **6,840,000**.
Warranty Reserve 603Ad4
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