suppose you are starting an office-clening service. You have spent $315 on equipment.To clean an office, you use $4 worth of supplies.Yoou charge $25 per office. How many offices must you clean to break even?
Solve this equation:
Costs = Revenue
315 + 4x = 25x
x is the number of offices cleaned.
The answer will be an integer.
To determine how many offices you must clean to break even, you need to calculate the total cost and the revenue generated by cleaning each office.
1. Start by adding up the initial equipment cost and the supplies cost per office:
Equipment cost = $315
Supplies cost per office = $4
2. Calculate the total cost per office by adding the equipment cost to the supplies cost:
Total cost per office = Equipment cost + Supplies cost per office = $315 + $4 = $319
3. Determine the revenue generated by cleaning each office:
Revenue per office = $25
4. To break even, your total revenue needs to cover the total cost per office:
Total revenue required = Total cost per office
5. Divide the total cost per office by the revenue per office to find the break-even point:
Number of offices to break even = Total cost per office / Revenue per office
Number of offices to break even = $319 / $25 ≈ 12.76
Since you cannot clean a fraction of an office, you need to round up the number of offices to break even. Therefore, you would need to clean at least 13 offices to break even.