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zhannawk [14.2K]
3 years ago
6

Eastern Motors Auto Dealership wanted to estimate the average CLV over a 5 year time horizon of a customer who purchases a new v

ehicle. The average vehicle sells for $23,700 and has a margin of 11%. Based on historical averages, 78% of people buying a new vehicle at Eastern will return for service 10 times over the next 5 years. Though it varies considerably, Eastern generates approximately $103 in margin on each service visit after accounting for parts and direct labor costs.
Required:
What is the total estimated CLV over a 5 year time horizon for someone who purchases a new vehicle at Eastern Motors?
Business
1 answer:
NARA [144]3 years ago
6 0

Answer:

The total estimated CLV over a 5 year time horizon for someone who purchases a new vehicle at Eastern Motors is $3,410.40.

Explanation:

Margin on selling vehicle = Average vehicle selling price * Margin = $23,700 * 11% = $2,607

Margin generated by 78% of people who return for service over 5 years = Number of times * Margin generated on each service = 10 * $103 = $1,030

Total estimated customer lifetime value (CLV) = Margin on selling vehicle + (Margin generated by 78% of people who return for service over 5 years * 78%) + (Margin generated by 226% of people who do not return for service over 5 years * 22%) = $2,607 + ($1,030 * 78%) + ($0 * 22%) = $3,410.40

Therefore, the total estimated CLV over a 5 year time horizon for someone who purchases a new vehicle at Eastern Motors is $3,410.40.

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Answer:

(1) \text{Total Cost}=1246.67+7.60\ \text{Volume}

(2) The variable cost per unit produced is $7.60.

(3) The coefficient of determination is 0.96 or 96%.

(4) The estimated total cost is $5,046.67.

Explanation:

A regression analysis for the provided data is performed on Microsoft Excel.

The output is attached below.

(1)

The estimated regression equation that could be used to predict the total cost for a given production volume is:

\text{Total Cost}=1246.67+7.60\ \text{Volume}

(2)

The variable cost per unit produced is given by the slope of the line.

The slope of a regression line represent the value of the dependent variable for one unit of the independent variable.

So, the variable cost per unit produced is $7.60.

(3)

Consider the regression output attached.

The coefficient of determination is 0.96 or 96%.

This implies that the percentage of the variation in total cost that can be explained by production volume is 96%.

(4)

For Volume = 500 units predict the total cost as follows:

\text{Total Cost}=1246.67+7.60\ \text{Volume}

                 =1246.67+(7.60\times 500)\\\\=1246.67+3800\\\\=5046.67

Thus, the estimated total cost is $5,046.67.

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solution :

sum of dollar =200+220+280+300+310+320+330+

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