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 newspaper 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.

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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 newspaper 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.

Advertising Media Exposure Rating per Ad New Customes per Ad Cost per Ad
Television 90 4000 $10,000
Radio 25 2000 $3,000
Newspaper 10 1000 $1,000

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 newspaper 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 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 advertisements.

● 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 newspaper 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 newspaper advertising

Using the excel template provided

a) Formulate a linear programming model (identify and define decision variables, objective function and constraints) that can be used to determine the advertising budget allocation for the Flamingo Grill in order to maximize the total exposure rating. Use Solver in Microsoft Excel to solve the model. Give the values of each decision variable and the objective function. Also indicate the total number of new customers reached.

b) After reviewing HJ’s recommendation, the Flamingo’s management team asked how the optimal solution would change if the objective of the advertising campaign was to maximize the number of potential new customers reached. Use Solver in Microsoft Excel to solve this new model that you develop, Give the values of each decision variable and the objective function. Also indicate the total exposure rating.

c) Compare the optimal solutions from part (a) and part (b). Which objective function is a better indicator of advertising effectiveness? Please comment

A
B
D
E
F
G
H
1
T1
T2
R1
R2
N1
N2
2 New Cust./Ad
3 Cost/Ad
4 Availability
5 Exp./Ad
6
7 DECISION VAR. T1
8 Ads Placed
T2
R1
R2
N1
N2
9
10 Max Exposure
11
12 Constraints
LHS
RHS
13
14
15
16
17
18
19
20
21
22
23
24
Transcribed Image Text:A B D E F G H 1 T1 T2 R1 R2 N1 N2 2 New Cust./Ad 3 Cost/Ad 4 Availability 5 Exp./Ad 6 7 DECISION VAR. T1 8 Ads Placed T2 R1 R2 N1 N2 9 10 Max Exposure 11 12 Constraints LHS RHS 13 14 15 16 17 18 19 20 21 22 23 24
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