3. 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 pro- portional to the number who have not yet heard of it. a. If no one is aware of the product at the start of the ad- vertising 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?
3. 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 pro- portional to the number who have not yet heard of it. a. If no one is aware of the product at the start of the ad- vertising 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?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![3. 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 pro-
portional to the number who have not yet heard of it.
a. If no one is aware of the product at the start of the ad-
vertising 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?
ai
[§8.2- 61CMP]
4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46c112d4-d651-44d9-9e24-8ae710cabe1f%2Fd3436730-abdd-44ae-977b-e08022706b54%2Fjs520vl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. 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 pro-
portional to the number who have not yet heard of it.
a. If no one is aware of the product at the start of the ad-
vertising 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?
ai
[§8.2- 61CMP]
4.
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