100 me A television producer designed a program that will include a comedy and advertisements. The advertiser insists on at least 4 minutes of advertising time. The producer insists on not more than 8 minutes of advertisement. The comedian insists on at least 5 minutes of the comedy portion. The total time allotted for the comedy and advertisement cannot exceed one hour. If it has been determined that each minute of advertising attracts 400,000 viewers and each minute of the comedy program attracts 405,000 viewers, how many minutes should be given to each of the comedy and advertisement in order to maximize the number of viewers?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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e. A television producer designed a program that will include a comedy and advertisements.
The advertiser insists on at least 4 minutes of advertising time. The producer insists on not
more than 8 minutes of advertisement. The comedian insists on at least 5 minutes of the
comedy portion. The total time allotted for the comedy and advertisement cannot exceed one
hour. If it has been determined that each minute of advertising attracts 400,000 viewers and
each minute of the comedy program attracts 405,000 viewers, how many minutes should be
given to each of the comedy and advertisement in order to maximize the number of viewers?
Transcribed Image Text:e. A television producer designed a program that will include a comedy and advertisements. The advertiser insists on at least 4 minutes of advertising time. The producer insists on not more than 8 minutes of advertisement. The comedian insists on at least 5 minutes of the comedy portion. The total time allotted for the comedy and advertisement cannot exceed one hour. If it has been determined that each minute of advertising attracts 400,000 viewers and each minute of the comedy program attracts 405,000 viewers, how many minutes should be given to each of the comedy and advertisement in order to maximize the number of viewers?
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