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An advertising agency wants to solve a media selection problem for one of its clients. Ads can be placed in various media. These ads are intended to reach various demographic groups. Based on viewing and readership data, we have built a table giving the number of exposures obtained in each of several market segments per dollar spent on advertising in each medium.
For each market segment we have decided upon:
1) a minimum desired number of exposures. The feeling is that we must reach this minimum number of readers/viewers, regardless of cost.
2) a saturation level. The feeling is that exposure beyond this level is of no value.
Exposures between these two limits will be termed useful exposures. Given an advertising spend budget, as well as a target minimum of total useful exposures over all markets, how much should be spent on advertising in each medium? ;