Advertising. A company is using radio advertising to introduce a new product to a community of 100,000 people. Suppose the rate at which people learn about the new product is proportional to the number who have not yet heard of it.
(A) If no one is aware of the product at the start of the advertising campaign and after 7 days 20,000 people are aware of the product, how long will it take for 50,000 people to become aware of the product?
(B) Suppose the company is dissatisfied with the result in part (A) and wants to decrease to 14 days the amount of time it takes for 50,000 people to become aware of their product. For this to happen, how many people must become aware of the product during the first 7 days?
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Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.
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