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

Question 138

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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.
 Overhead  No. of  Month  cost  Appointments  July $60,160867 August 56,500624 September 58,900689 October 63,500974 November 59,325730 December 62,400901\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:
 Intercept 42,900X Variable 1 20.46\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% 20 \% of total revenues. Will that be possible if total revenues are expected to average $300,000 \$ 300,000 per month and total appointments per month are expected to average 1,000? Show all of your calculations.

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