Question

I NEED A LIST OF ALL OF THE CONSTRAINTS

Case 1 Description - 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 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 Customers per ad	Cost per ad
Television	90	4000	10000
Radio	25	2000	3000
Newspaper	10	1000	1000

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.

Now, prepare a managerial report developing 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 newspaper advertisements and the budget allocation for each medium. Show the total exposure and indicate the total number of potential new customers reached.

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. Independent of Q2, suppose a new marketing research data shows that for radio advertisements beyond 15 ads, the exposure rating declines to 15 (instead of 20 described earlier), and while for newspaper advertisement beyond 20 the exposure rating declines to 7 (instead of 5 described earlier). What would be the campaign plan then, and the resulted total exposure?

5. Independent of Q2-4, suppose that the Flamingo’s management team has raised the TV and newspaper minimum budgets to $150,000 and $40,000 respectively. What would be the campaign plan then, the resulted total exposure and new customers reached?

6. Independent of Q2-5, after reviewing HJ's recommendation in Q1, 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.

7. Compare the recommendations made from Q1 and Q6. What is your final recommendation for the Flamingo Grill's advertising campaign?

Managerial Report – General Format

A managerial report should be prepared and should be easily understood by the general recipients of the report (supervisors, COO, CEO, clients, etc.)

The report should include:

1. An executive summary (a short description of the case, alternatives considered, recommendations based on different objectives and a final recommendation)
2. A short description of key assumptions used in the model / analysis
3. Linear programming model defining all decision variables
4. Printouts of the optimal solution obtained by using Excel. Include printouts from various alternatives/objectives considered
5. Narrative discussion explaining the LP model, alternatives considered, brief analysis on what if questions Q4 and Q5, what detailed analysis you made to come up with the recommendations in Q1 and Q6 and how you compared them to arrive at a final recommendation in Q7.

I NEED A LIST OF ALL OF THE CONSTRAINTS!

Answer 1