A consultant determines that the percentage of people who will have responded to an advertisement for a new product after it has been marketed for t days is given by f(t) = 0.7(1-e02¹). The advertising costs $30 000 to produce and $5 000 per day to run. a) Find lim f(t) and interpret the result. 1-xx b) Predict the percentage of potential customers that have responded after 7 days of advertising. c) The same consultant determines the profit function to be P(1) 5000000(1-e02)-5000r. For how many full days should the ad run to maximize the profit if the advertising budget is $180 000? -7 a-limit=0.7, 70% of the people will respond if the add runs forever respond after 7 days of advertising b-about 53% of the people will c-the add should be run for 26 days to maximize profit a-limit-0.6, 60% of the people will respond if the add runs forever b-about 53% of the people will respond after 7 days of advertising the add should be run for 26 days to maximize profit Oa-limit-0.7, 70% of the people will respond if the add runs forever b-about 73% of the people will respond after 7 days of advertising the add should be run for 26 days to maximize profit None of the above C-
A consultant determines that the percentage of people who will have responded to an advertisement for a new product after it has been marketed for t days is given by f(t) = 0.7(1-e02¹). The advertising costs $30 000 to produce and $5 000 per day to run. a) Find lim f(t) and interpret the result. 1-xx b) Predict the percentage of potential customers that have responded after 7 days of advertising. c) The same consultant determines the profit function to be P(1) 5000000(1-e02)-5000r. For how many full days should the ad run to maximize the profit if the advertising budget is $180 000? -7 a-limit=0.7, 70% of the people will respond if the add runs forever respond after 7 days of advertising b-about 53% of the people will c-the add should be run for 26 days to maximize profit a-limit-0.6, 60% of the people will respond if the add runs forever b-about 53% of the people will respond after 7 days of advertising the add should be run for 26 days to maximize profit Oa-limit-0.7, 70% of the people will respond if the add runs forever b-about 73% of the people will respond after 7 days of advertising the add should be run for 26 days to maximize profit None of the above C-
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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These are 2 subparts not 2 questions please solve both
Transcribed Image Text:A consultant determines that the percentage of people who will have responded to an advertisement
for a new product after it has been marketed for t days is given by f(t) = 0.7(1-e0²).
The advertising costs $30 000 to produce and $5 000 per day to run.
a) Find lim f(t) and interpret the result.
b) Predict the percentage of potential customers that have responded after 7 days
of advertising.
c) The same consultant determines the profit function to be P()=5000000(1-2)-5000r.
For how many full days should the ad run to maximize the profit if the advertising budget is
$180 000?
-7
a-limit=0.7, 70% of the people will respond if the add runs forever
respond after 7 days of advertising
b-about 53% of the people will
c-the add should be run for 26 days to maximize profit
Str
a-limit=0.6, 60% of the people will respond if the add runs forever
b-about 53% of the people will respond after 7 days of advertising
the add should be run for 26 days to maximize profit
a-limit=0.7, 70% of the people will respond if the add runs forever
b-about 73% of the people will respond after 7 days of advertising
the add should be run for 26 days to maximize profit
None of the above
04-1
C-
Transcribed Image Text:The effectiveness of studying for an exam depends on how many hours a student studies. For a certain
exam, a student is given one day to study. Some experiments show that if the effectiveness E, is put on a
scale of 0 to 6, then E(t)-(2), where is the number of hours spent studying for the exam. How
many hours should a student study to achieve maximum effectiveness?
15.43 hours
14.43 hours
16.43 hours
None of the above
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