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The Biggs Department Store chain has hired an advertising firm to determine the types and amount of advertising it should invest in for its stores. The three types of advertising available are television and radio commercials and newspaper ads. The retail chain desires to know the number of each type of advertisement it should purchase in order to maximize exposure. It is estimated that each ad or commercial will reach the following potential audience and cost the following amount: Exposure (people/ad or commercial) Cost (US$) TV commercial 40,000 16,000 Radio commercial 28,000 14,000 Newspaper ad 29,000 8,000

The company must consider the following resource constraints:

a. The budget limit for advertising is $200,000.
b. The television station has time available for 6 commercials.
c. The radio station has time available for 12 commercials.
d. The newspaper has space available for 5 ads.
e. The advertising agency has time and staff available for producing no more than a total of 20 commercials and/or ads.

If this problem is formulated as an integer and also a linear programming problem (separately), the combination of commercial and advertisements that would maximize the exposure would be, respectively:

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