Penny Hassan runs the Shear Beauty Salon near a college campus. Several months ago, Penny used some unused space at the back of the salon and bought two used tanning beds. She hired a receptionist and kept the salon open for extended hours each week so that tanning clients would be able to use the benefits of their tanning packages. After three months, Penny wanted additional information on the costs of the tanning area. She accumulated the following data on four accounts:

Wages Supplies and Maintenance Equipment Depreciation Electricity Tanning Minutes Number of Visits

January $$1,762$ $$1,464$ $$153$ $$3654,101402$

February $1,7281,9141534233,888387$

March $1,8364,0261536606,693579$

Penny decided that wages and equipment depreciation were fixed. She thought supplies and maintenance would vary with the number of tanning visits and that electricity would vary with the number of tanning minutes.

Required:

$1.$ Calculate the average account balance for each account. Calculate the average monthly amount for each of the two drivers. $($Round all answers to the nearest dollar or the nearest whole unit.$)$ Use your rounded answers in all subsequent computations.

Average

Account Balance

Wages $fill in the blank $1$

Supplies & Maintenance $fill in the blank $2$

Equipment Depreciation $fill in the blank $3$

Electricity $fill in the blank $4$

Tanning Minutes fill in the blank $5$

Number of Visits fill in the blank $6$

$2.$ Calculate fixed monthly cost and the variable rates for the account averages. Round your answers to the nearest cent and use your rounded answers in all subsequent computations.

Variable rate for supplies & maintenance $fill in the blank $7$

per visit

Variable rate for electricity $fill in the blank $8$

per minute

Fixed cost per month $fill in the blank $9$

Express the results in the form of an equation for total cost. $($Round to the nearest cent.$)$

Cost $=$ $fill in the blank $10$

$+$ $fill in the blank $11$

$($visit$)+$ $fill in the blank $12$

$($minute$)$

$3.$ In April, Penny predicts there will be $381$ visits for a total of $3,870$ minutes. What is the total cost for April? If required, round your answer to the nearest dollar.

$fill in the blank $13$

$4.$ Suppose that Penny decides to buy a new tanning bed at the beginning of April for $$8,496.$ The tanning bed is expected to last four years and will have no salvage value at the end of that time.

What will be the new equation for total cost? If required, round your answers to the nearest cent.

Cost $=$ $fill in the blank $14$

$+$ $fill in the blank $15$

$($visit$)+$ $fill in the blank $16$

$($minute$)$

What is the new expected cost in April based on the prediction provided in Requirement $3($above$)?$ When required, round your answer to the nearest dollar.

$fill in the blank $17$