Assignment:
High-Low Method
Luisa Crimini has been operating a beauty shop in a college town for the past 10 years. Recently, Luisa rented space next to her shop and opened a tanning salon. She anticipated that the costs for the tanning service would primarily be 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:
|
|
Tanning |
|
|
| Month |
|
Appointments |
|
Total Cost |
| January |
|
800 |
|
|
$1,748 |
| February |
|
2,100 |
|
|
$2,130 |
| March |
|
3,400 |
|
|
$2,840 |
| April |
|
2,600 |
|
|
$2,300 |
| May |
|
1,500 |
|
|
$1,800 |
| June |
|
2,300 |
|
|
$2,255 |
| July |
|
2,170 |
|
|
$2,300 |
| August |
|
3,000 |
|
|
$2,670 |
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. Round the variable rate per tanning appointment to the nearest cent and use it in your further calculations. Round the fixed cost per month to the nearest dollar and use it in your further calculations.
3. Using the variable rate and fixed cost, what is the cost formula for tanning services?
4. Calculate the total predicted cost of tanning services for September for 2,400 appointments using the cost formula found in Requirement 3. Of that total cost, how much is the total fixed cost for September? How much is the total predicted variable cost for September? If required, round the final answers to the nearest dollar.