To solve the given questions, we need to follow these steps:
Calculate the percentage of the firm's assets financed using debt:
- Use the formula: \(\text{Debt Ratio} = \frac{\text{Total Liabilities}}{\text{Total Assets}} \times 100\)
Calculate the new debt ratio after purchasing a new warehouse:
- Update the total liabilities by adding the cost of the new warehouse.
- Update the total assets by adding the cost of the new warehouse.
- Recalculate the debt ratio using the updated values.
To find the percentage of the firm's assets financed using debt, we use the formula:
\[
\text{Debt Ratio} = \left( \frac{\text{Total Liabilities}}{\text{Total Assets}} \right) \times 100
\]
Given:
\[
\text{Total Liabilities} = \$3,500,000
\]
\[
\text{Total Assets} = \$5,000,000
\]
Substituting the values:
\[
\text{Debt Ratio} = \left( \frac{3,500,000}{5,000,000} \right) \times 100 = 70.0\%
\]
If Campbell were to purchase a new warehouse for \$1,100,000 and finance it entirely with long-term debt, we need to update the total liabilities and total assets.
New total liabilities:
\[
\text{New Total Liabilities} = \text{Total Liabilities} + \text{New Warehouse Cost} = 3,500,000 + 1,100,000 = 4,600,000
\]
New total assets:
\[
\text{New Total Assets} = \text{Total Assets} + \text{New Warehouse Cost} = 5,000,000 + 1,100,000 = 6,100,000
\]
Now, we calculate the new debt ratio:
\[
\text{New Debt Ratio} = \left( \frac{\text{New Total Liabilities}}{\text{New Total Assets}} \right) \times 100 = \left( \frac{4,600,000}{6,100,000} \right) \times 100 \approx 75.41\%
\]