Sudbury Company Operates a Chain of Trendy Nail Salons Required $$\begin{array} { l l } \text { Intercept } & 42,900 \\\mathrm { X } \text { Variable 1 } & 20.46\end{array}$$

Essay

Sudbury Company operates a chain of trendy nail salons.The company's chief executive officer is interested in accumulating some information on the overhead costs incurred by the company.You have been asked to analyze the following six months' worth of data.
A regression analysis produced the following coefficients.
$\begin{array}{lrl}& \text { Overhead } & \text { No. of } \\\text { Month }&\text { cost } & \text { Appointments }\\\text { July } & \$ 60,160 & 867 \\\text { August } & 56,500 & 624 \\\text { September } & 58,900 & 689 \\\text { October } & 63,500 & 974 \\\text { November } & 59,325 & 730 \\\text { December } & 62,400 & 901\end{array}$ Required:
$$\begin{array} { l l } \text { Intercept } & 42,900 \\\mathrm { X } \text { Variable 1 } & 20.46\end{array}$$ A. Using the results of regression, construct a cost formula for the total overhead cost.
B. The CEO would like to limit total overhead cost in future months to $20 \%$ of total revenues. Will that be possible if total revenues are expected to average $\$ 300,000$ per month and total appointments per month are expected to average 1,000? Show all of your calculations.