Response to the following problem:
Kylie Hepworth has been operating a beauty shop in a college town for the past 10 years. Recently, Kylie rented space next to her shop and opened a tanning salon. She anticipated that the costs for the tanning service would be primarily fixed but found that tanning salon costs increased with the number of appointments. Costs for this service over the past eight months are as follows:
| Month |
Tanning Appointments |
Total Cost |
|
January
|
700
|
$1,758
|
|
February
|
2,000
|
2,140
|
|
March
|
3,100
|
2,790
|
|
April
|
2,500
|
2,400
|
|
May
|
1,500
|
1,800
|
|
June
|
2,300
|
2,275
|
|
July
|
2,150
|
2,200
|
|
August
|
3,000
|
2,640
|
Required
1. Which month represents the high point? The low point?
2. Using the high-low method, compute the variable rate for tanning. Compute the fixed cost per month.
3. Using your answers to Requirement 2, write the cost formula for tanning services.
4. Calculate the total predicted cost of tanning services for September for 2,500 appointments using the formula found in Requirement 3. Of that total cost, how much is the total fixed cost for September? How much is the total pre- dicted variable cost for September?