Budgeting (MC)

A daycare center has a weekly revenue of [tex]\$21,000[/tex]. The daycare director has created a monthly budget using the following percentages for expenses:

\begin{tabular}{|r|l|}
\hline
& Percent \\
\hline
Employee Wages & $42\%[tex]$ \\
\hline
Building Rent & $[/tex]10\%[tex]$ \\
\hline
Supplies & $[/tex]15\%[tex]$ \\
\hline
Equipment & $[/tex]5\%[tex]$ \\
\hline
Educational Licensing & $[/tex]2\%[tex]$ \\
\hline
Food & $[/tex]10\%[tex]$ \\
\hline
Utilities & $[/tex]10\%[tex]$ \\
\hline
Maintenance & $[/tex]3\%[tex]$ \\
\hline
Emergency Repair & $[/tex]3\%$ \\
\hline
\end{tabular}

Which balance sheet correctly represents the daycare's income, expenses, and balance?



Answer :

To determine the daycare center's income, expenses, and balance, we need to follow a detailed step-by-step approach.

Step 1: Calculate Monthly Revenue
Given the weekly revenue is [tex]$21,000, and there are usually 4 weeks in a month, the monthly revenue can be calculated as: \[ \text{Monthly Revenue} = 21,000 \times 4 = 84,000 \] Step 2: Calculate Expenses We'll use the provided percentages to calculate each expense. 1. Employee Wages (42%) \[ \text{Employee Wages} = \frac{42}{100} \times 84,000 = 0.42 \times 84,000 = 35,280 \] 2. Building Rent (10%) \[ \text{Building Rent} = \frac{10}{100} \times 84,000 = 0.10 \times 84,000 = 8,400 \] 3. Supplies (15%) \[ \text{Supplies} = \frac{15}{100} \times 84,000 = 0.15 \times 84,000 = 12,600 \] 4. Equipment (5%) \[ \text{Equipment} = \frac{5}{100} \times 84,000 = 0.05 \times 84,000 = 4,200 \] 5. Educational Licensing (2%) \[ \text{Educational Licensing} = \frac{2}{100} \times 84,000 = 0.02 \times 84,000 = 1,680 \] 6. Food (10%) \[ \text{Food} = \frac{10}{100} \times 84,000 = 0.10 \times 84,000 = 8,400 \] 7. Utilities (10%) \[ \text{Utilities} = \frac{10}{100} \times 84,000 = 0.10 \times 84,000 = 8,400 \] 8. Maintenance (3%) \[ \text{Maintenance} = \frac{3}{100} \times 84,000 = 0.03 \times 84,000 = 2,520 \] 9. Emergency Repair (3%) \[ \text{Emergency Repair} = \frac{3}{100} \times 84,000 = 0.03 \times 84,000 = 2,520 \] Step 3: Calculate Total Expenses To find the total expenses, we sum up all the calculated individual expenses: \[ \text{Total Expenses} = 35,280 + 8,400 + 12,600 + 4,200 + 1,680 + 8,400 + 8,400 + 2,520 + 2,520 \] Adding these figures together: \[ \text{Total Expenses} = 84,000 \] Step 4: Calculate Balance The balance is determined by subtracting the total expenses from the monthly revenue: \[ \text{Balance} = \text{Monthly Revenue} - \text{Total Expenses} \] Using the numbers we've calculated: \[ \text{Balance} = 84,000 - 84,000 = 0 \] So, the balance sheet representing the daycare's financials is: - Monthly Revenue: $[/tex]84,000
- Expenses:
- Employee Wages: [tex]$35,280 - Building Rent: $[/tex]8,400
- Supplies: [tex]$12,600 - Equipment: $[/tex]4,200
- Educational Licensing: [tex]$1,680 - Food: $[/tex]8,400
- Utilities: [tex]$8,400 - Maintenance: $[/tex]2,520
- Emergency Repair: [tex]$2,520 - Total Expenses: $[/tex]84,000
- Balance: $0