The effectiveness of a television commercial depends on how many times a viewer

Algebra
Tutor: None Selected Time limit: 1 Day

The effectiveness of a television commercial depends on how many times a viewer watches it. After some experiments an advertising agency found that if the effectiveness E is measured on a scale of 0 to 10, then
E(n) = 
2
3
n − 
1
69
n2
where n is the number of times a viewer watches a given commercial. For a commercial to have maximum effectiveness, how many times should a viewer watch it?

 times

Jul 8th, 2015

Thank you for the opportunity to help you with your question!

 E'(n) = 2/3 -2n/69 
0 = 2/3 -2n/69 
2n/69 = 2/3 
3n =69 
n = 23

For a commercial to have maximum effectiveness,  a viewer watch it 23 times .

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 8th, 2015

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