1. **State the problem:** Calculate various financial values for a multinational company with given sales and financial ratios for the year 2024.
2. **Given data:**
- Sales = 50,000,000
- Gross profit margin = 75% = 0.75
- Operating profit margin = 30% = 0.30
- Net profit margin = 10% = 0.10
- Return on total assets = 15% = 0.15
- Return on common equity = 18% = 0.18
- Total asset turnover = 2.5
- Average collection period = 45 days
3. **Formulas and explanations:**
- Gross profit = Sales \times Gross profit margin
- Cost of goods sold (COGS) = Sales - Gross profit
- Operating profit = Sales \times Operating profit margin
- Operating expenses = Gross profit - Operating profit
- Net income (Earnings available for common stockholders) = Sales \times Net profit margin
- Total assets = Sales / Total asset turnover
- Total common stock equity = Net income / Return on common equity
- Accounts receivable = (Average collection period / 365) \times Sales
4. **Calculations:**
**a. Gross profit:**
$$\text{Gross profit} = 50,000,000 \times 0.75 = 37,500,000$$
**b. Cost of goods sold:**
$$\text{COGS} = 50,000,000 - 37,500,000 = 12,500,000$$
**c. Operating profits:**
$$\text{Operating profit} = 50,000,000 \times 0.30 = 15,000,000$$
**d. Operating expenses:**
$$\text{Operating expenses} = 37,500,000 - 15,000,000 = 22,500,000$$
**e. Net income (Earnings available for common stockholders):**
$$\text{Net income} = 50,000,000 \times 0.10 = 5,000,000$$
**f. Total assets:**
$$\text{Total assets} = \frac{50,000,000}{2.5} = 20,000,000$$
**g. Total common stock equity:**
$$\text{Total common stock equity} = \frac{5,000,000}{0.18} \approx 27,777,778$$
**h. Accounts receivable:**
$$\text{Accounts receivable} = \frac{45}{365} \times 50,000,000 \approx 6,164,384$$
5. **Summary of results:**
- Gross profit = 37,500,000
- Cost of goods sold = 12,500,000
- Operating profits = 15,000,000
- Operating expenses = 22,500,000
- Net income = 5,000,000
- Total assets = 20,000,000
- Total common stock equity = 27,777,778
- Accounts receivable = 6,164,384
These calculations use the given ratios and sales to find the requested financial values.
Financial Values 0619Ff
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