Final answer:
The operating income of Jean's Fitness Club is calculated by subtracting total variable costs and total fixed costs from total revenue. After performing the calculations, the operating income is found to be $175,500, which corresponds to option c.
Step-by-step explanation:
To calculate Jean's Fitness Club's operating income, we need to prepare a contribution margin income statement, which includes revenues, variable costs, contribution margin, fixed costs, and operating income.
First, we sum up all the revenues:
- Membership revenue: $140,000
- Personal training revenue: $75,000
- Total Revenue = $140,000 + $75,000 + $65,000 = $280,000
Next, we calculate the variable costs:
- Personal trainer wages (50% of personal training revenue): 0.50 * $75,000 = $37,500
- Cost of Product sold: $35,000
- Total Variable Cost = $37,500 + $35,000 = $72,500
Contribution Margin = Total Revenue - Total Variable Cost = $280,000 - $72,500 = $207,500
Now, we calculate the fixed costs:
- Space rental expense: $11,000
- Straight line depreciation expense: $6,000
- Rental insurance expense: $3,000
- Front desk staff wages expense: $12,000
- Total Fixed Cost = $11,000 + $6,000 + $3,000 + $12,000 = $32,000
Operating Income = Contribution Margin - Total Fixed Cost = $207,500 - $32,000 = $175,500
The correct answer to the question is option c. $175,500.