Q. 14. A hairdresser is deciding to open her own studio. She will pay $1200 per month in rent and will charge $45 per haircut. If rent is her only expense, how many haircuts does she need to do to make a profit? Click on the dropdown menu to choose the correct option. Be careful about rounding correctly! (1 point)
To find out how many haircuts the hairdresser needs to do to make a profit, we need to determine the breakeven point.
The breakeven point is when the revenue equals the expenses.
Let's assume x is the number of haircuts.
Revenue = Price per haircut * Number of haircuts = $45x
Expenses = Rent = $1200
To find the breakeven point, we set the revenue equal to the expenses:
$45x = $1200
Now, let's solve for x:
x = $1200 / $45
x ≈ 26.6667
Rounded to the nearest whole number, the hairdresser needs to do 27 haircuts to make a profit.
To determine how many haircuts the hairdresser needs to do to make a profit, we need to consider the monthly rent and the revenue generated per haircut.
Given:
Rent per month = $1200
Revenue per haircut = $45
To calculate the number of haircuts needed to make a profit, we divide the monthly rent by the revenue per haircut:
Number of haircuts = Rent / Revenue per haircut
Number of haircuts = $1200 / $45
Calculating the result:
Number of haircuts = 26.67
Rounding to the correct option provided:
The hairdresser needs to do approximately 27 haircuts to make a profit.
To find the number of haircuts the hairdresser needs to do to make a profit, we need to consider the fixed monthly expense (rent) and the revenue generated per haircut.
Let's calculate the break-even point:
Rent per month = $1200
Revenue per haircut = $45
To determine the number of haircuts needed to cover the rent and make a profit, we divide the monthly rent by the revenue per haircut:
Break-even point = Rent per month / Revenue per haircut
Break-even point = $1200 / $45
Break-even point ≈ 26.67
Since we cannot have a fraction of a haircut, we need to round up to the nearest whole number to ensure that the hairdresser covers their expenses and makes a profit. Therefore, the hairdresser needs to do at least 27 haircuts to make a profit.