Book Title: eTextbook: An Introduction to Management Science: Quantitative Approaches to Decision Making Chapter 4. Linear Programming Applications in Marketing, Finance, and Operations Management Case Problem 1. Planning an Advertising Campaign
Case Problem 1. Planning an Advertising Campaign
The Flamingo Grill is an upscale restaurant located in St. Petersburg, Florida. To
help plan an advertising campaign for the coming season, Flamingo’s
management team hired the advertising firm of Haskell & Johnson (HJ). The
management team requested HJ’s recommendation concerning how the
advertising budget should be distributed across television, radio, and online
advertisements. The budget has been set at $279,000.
In a meeting with Flamingo’s management team, HJ consultants provided the
following information about the industry exposure effectiveness rating per ad,
their estimate of the number of potential new customers reached per ad, and the
cost for each ad:
Rating per Ad
Cost per Ad
Television 90 4,000 $10,000
Radio 25 2,000 $ 3,000
The exposure rating is viewed as a measure of the value of the ad to both
existing customers and potential new customers. It is a function of such things
as image, message recall, visual and audio appeal, and so on. As expected, the
more expensive television advertisement has the highest exposure effectiveness
rating along with the greatest potential for reaching new customers.
At this point, the HJ consultants pointed out that the data concerning exposure
and reach were only applicable to the first few ads in each medium. For
television, HJ stated that the exposure rating of 90 and the 4000 new customers
reached per ad were reliable for the first 10 television ads. After 10 ads, the
benefit is expected to decline. For planning purposes, HJ recommended reducing
the exposure rating to 55 and the estimate of the potential new customers
reached to 1500 for any television ads beyond 10. For radio ads, the preceding
data are reliable up to a maximum of 15 ads. Beyond 15 ads, the exposure rating
declines to 20 and the number of new customers reached declines to 1200 per
ad. Similarly, for online ads, the preceding data are reliable up to a maximum of
20; the exposure rating declines to 5 and the potential number of new customers
reached declines to 800 for additional ads.
Flamingo’s management team accepted maximizing the total exposure rating,
across all media, as the objective of the advertising campaign. Because of
management’s concern with attracting new customers, management stated that
the advertising campaign must reach at least 100,000 new customers. To balance
Rating per Ad
Cost per Ad
Online 10 1,000 $ 1,000
the advertising campaign and make use of all advertising media, Flamingo’s
management team also adopted the following guidelines:
Use at least twice as many radio advertisements as television
Use no more than 20 television advertisements.
The television budget should be at least $140,000.
The radio advertising budget is restricted to a maximum of $99,000.
The online budget is to be at least $30,000.
HJ agreed to work with these guidelines and provide a recommendation as to
how the $279,000 advertising budget should be allocated among television,
radio, and online advertising.
Develop a model that can be used to determine the advertising budget allocation
for the Flamingo Grill. Include a discussion of the following in your report:
1. A schedule showing the recommended number of television, radio, and
online advertisements and the budget allocation for each medium. Show
the total exposure and indicate the total number of potential new
2. How would the total exposure change if an additional $10,000 were
added to the advertising budget?
3. A discussion of the ranges for the objective function coefficients. What do
the ranges indicate about how sensitive the recommended solution is to
HJ’s exposure rating coefficients?
4. After reviewing HJ’s recommendation, the Flamingo’s management team
asked how the recommendation would change if the objective of the
advertising campaign was to maximize the number of potential new
customers reached. Develop the media schedule under this objective.
5. Compare the recommendations from parts 1 and 4. What is your
recommendation for the Flamingo Grill’s advertising campaign?