Let's break this down step-by-step to find the missing values for Sophie's Restaurant.
### 1. Calculate Total Expenses
First, sum up all the given expenses:
- Total Cost of Food: \[tex]$25,000
- Total Cost of Labor: \$[/tex]20,000
- Other Controllable Expenses: \[tex]$10,000
- Non-Controllable Expenses: \$[/tex]5,000
Total Expenses:
[tex]\[
\text{Total Expenses} = \$25,000 + \$20,000 + \$10,000 + \$5,000 = \$60,000
\][/tex]
### 2. Calculate Profit
The profit is calculated by subtracting the total expenses from the sales:
[tex]\[
\text{Profit} = \text{Sales} - \text{Total Expenses} = \$75,000 - \$60,000 = \$15,000
\][/tex]
### 3. Determine Percentages for Each Category
Next, we calculate the percentage of each expense category with respect to total sales. The formula for percentage is:
[tex]\[
\text{Percentage} = \left( \frac{\text{Expense Category}}{\text{Total Sales}} \right) \times 100 \%
\][/tex]
#### Total Cost of Food
[tex]\[
\left( \frac{\$25,000}{\$75,000} \right) \times 100 \% = 33.3 \%
\][/tex]
#### Total Cost of Labor
[tex]\[
\left( \frac{\$20,000}{\$75,000} \right) \times 100 \% = 26.7 \%
\][/tex]
#### Other Controllable Expenses
[tex]\[
\left( \frac{\$10,000}{\$75,000} \right) \times 100 \% = 13.3 \%
\][/tex]
#### Non-Controllable Expenses
[tex]\[
\left( \frac{\$5,000}{\$75,000} \right) \times 100 \% = 6.7 \%
\][/tex]
#### Profit Percentage
[tex]\[
\left( \frac{\$15,000}{\$75,000} \right) \times 100 \% = 20.0 \%
\][/tex]
### 4. Complete the Table
We can now fill in the missing values in the table:
| Sophie's Restaurant | Amount | Percentage |
| ------------------- | ------ | ---------- |
| Sales | \[tex]$75,000 | 100% |
| | | |
| Total Cost of Food | \$[/tex]25,000 | 33.3% |
| Total Cost of Labor | \[tex]$20,000 | 26.7% |
| Other Controllable Expenses | \$[/tex]10,000 | 13.3% |
| Non-Controllable Expenses | \[tex]$5,000 | 6.7% |
| Profit | \$[/tex]15,000 | 20.0% |
In summary, total expenses are \[tex]$60,000, resulting in a profit of \$[/tex]15,000. The corresponding percentages for each category align as calculated above.
