The advertising alternatives for a company include television, radio, and newspaper advertisements. The costs and estimates for audience coverage are given in table below: Television Newspaper Radio Cost per advertisement $ 2,000 $ 600 $ 300 Audience per advertisement 100,000 40,000 18,000

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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The advertising alternatives for a company include television, radio, and newspaper
advertisements. The costs and estimates for audience coverage are given in table below:
Television
Newspaper
Radio
Cost per advertisement
$ 2,000
$ 600
$ 300
Audience per advertisement
100,000
40,000
18,000
The local newspaper limits the number of weekly advertisements from a single company
to ten. Moreover, to balance the advertising among the three types of media, no more
than half of the total number of advertisements should occur on the radio, and at least
10% should occur on television. The weekly advertising budget is $18,200. How many
advertisements should be run in each of the three types of media to maximize the total
audience?
Transcribed Image Text:The advertising alternatives for a company include television, radio, and newspaper advertisements. The costs and estimates for audience coverage are given in table below: Television Newspaper Radio Cost per advertisement $ 2,000 $ 600 $ 300 Audience per advertisement 100,000 40,000 18,000 The local newspaper limits the number of weekly advertisements from a single company to ten. Moreover, to balance the advertising among the three types of media, no more than half of the total number of advertisements should occur on the radio, and at least 10% should occur on television. The weekly advertising budget is $18,200. How many advertisements should be run in each of the three types of media to maximize the total audience?
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