Few companies take the time to estimate the value of a good customer (and often spend little effort to keep one) Suppose that a customer at a restaurant spends, on average R per visit and comes F times each year (for example, if a customer purchases once every two years, then F= =05 The restaurant realizes a gross profit margin of M (expressed as a fraction) on the average bill for fod and drinks In addition, the fraction of customers defecting (not returning) each year is D 2 Complete parts a and b a. Develop a mathematical model to compute V, the gross profit during a customer's lifetime in doing business with the restaurant (this is often called the economic value of a customer) V= (rF•m) • (Simplify your answer) b. If the average purchase per visit is $40, the gross profit margin is 03 (that is, 30%) customers VIsit an average of five times each year and 40% of customers defect each year what is the economic value of the customer? The economic value of the customer is $ (Round to the nearest dollar as needed)

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Few companies take the time to estimate the value of a good customer (and often spend little effort to keep one) Suppose that a customer at a restaurant spends, on average, R per visit and comes F times each year (for example, if a customer
1
purchases once every two years, then F = 5 =05. The restaurant realizes a gross profit margin of M (expressed as a fraction) on the average bill for food and drinks. In addition, the fraction of customers defecting (not returning) each year is D
Complete parts a and b.
a. Develop a mathematical model to compute V, the gross profit during a customer's lifetime in doing business with the restaurant (this is often called the economic value of a customer)
V = (r•F•m)•
%3D
(Simplify your answer)
b. If the average purchase per visit is $40, the gross profit margin is 0 3 (that is, 30%), customers visit an average of five times each year, and 40% of customers defect each year, what is the economic value of the customer?
The economic value of the customer is $
(Round to the nearest dollar as needed)
Transcribed Image Text:Few companies take the time to estimate the value of a good customer (and often spend little effort to keep one) Suppose that a customer at a restaurant spends, on average, R per visit and comes F times each year (for example, if a customer 1 purchases once every two years, then F = 5 =05. The restaurant realizes a gross profit margin of M (expressed as a fraction) on the average bill for food and drinks. In addition, the fraction of customers defecting (not returning) each year is D Complete parts a and b. a. Develop a mathematical model to compute V, the gross profit during a customer's lifetime in doing business with the restaurant (this is often called the economic value of a customer) V = (r•F•m)• %3D (Simplify your answer) b. If the average purchase per visit is $40, the gross profit margin is 0 3 (that is, 30%), customers visit an average of five times each year, and 40% of customers defect each year, what is the economic value of the customer? The economic value of the customer is $ (Round to the nearest dollar as needed)
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