A catalog retailer is preparing to release a new catalog. They initially tested the response to the catalog in a subset of their customers. In the initial test, they reached out to 25,000 customers and sent them a copy of the catalog, which costs $0.75. 2,150 customers made a purchase, spending an average of $55. The retailer's margin is 60% (i.e., variable costs of goods sold are 40%). a. What was the gross profit in dollars of this test mailing? b. What was the gross profit as a percent of gross sales? c. What was the return on marketing expenditures (gross profit as a function of marketing costs)? d. What was the breakeven for this campaign? The marketer now engages in RFM analysis. They identify that RFM cell 452 had a response rate of 3.80%. What is the breakeven index for that group? e.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.16P
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A catalog retailer is preparing to release a new catalog. They initially tested the
response to the catalog in a subset of their customers. In the initial test, they reached out to
25,000 customers and sent them a copy of the catalog, which costs $0.75. 2,150 customers made
a purchase, spending an average of $55. The retailer's margin is 60% (i.e., variable costs of
goods sold are 40%).
a. What was the gross profit in dollars of this test mailing?
b. What was the gross profit as a percent of gross sales?
c. What was the return on marketing expenditures (gross profit as a function of marketing
costs)?
d. What was the breakeven for this campaign?
The marketer now engages in RFM analysis. They identify that RFM cell 452 had a
response rate of 3.80%. What is the breakeven index for that group?
e.
Transcribed Image Text:A catalog retailer is preparing to release a new catalog. They initially tested the response to the catalog in a subset of their customers. In the initial test, they reached out to 25,000 customers and sent them a copy of the catalog, which costs $0.75. 2,150 customers made a purchase, spending an average of $55. The retailer's margin is 60% (i.e., variable costs of goods sold are 40%). a. What was the gross profit in dollars of this test mailing? b. What was the gross profit as a percent of gross sales? c. What was the return on marketing expenditures (gross profit as a function of marketing costs)? d. What was the breakeven for this campaign? The marketer now engages in RFM analysis. They identify that RFM cell 452 had a response rate of 3.80%. What is the breakeven index for that group? e.
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