An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let P(t) denote the number of people (in millions) who become aware of the product by time t. Suppose that P increases at a rate proportional to the number of people still unaware of the product. The company determines that no one was aware of the product at the beginning of the campaign, and that 40% of the people were aware of the product after 30 days of advertising. The number of people who become aware of the product at time t is: a) P(t) = 3 – 3e-/30 b) О P() %3D е -1/30 t/30 3 с) О P() 3 3- 3 -41/3 d) O P() 3 3 - Зе -1/30 P(t) = 3 f) O None of the above.
An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let P(t) denote the number of people (in millions) who become aware of the product by time t. Suppose that P increases at a rate proportional to the number of people still unaware of the product. The company determines that no one was aware of the product at the beginning of the campaign, and that 40% of the people were aware of the product after 30 days of advertising. The number of people who become aware of the product at time t is: a) P(t) = 3 – 3e-/30 b) О P() %3D е -1/30 t/30 3 с) О P() 3 3- 3 -41/3 d) O P() 3 3 - Зе -1/30 P(t) = 3 f) O None of the above.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let P(t) denote
the number of people (in millions) who become aware of the product by time t. Suppose that P increases at a rate proportional to the number
of people still unaware of the product. The company determines that no one was aware of the product at the beginning of the campaign, and that
40% of the people were aware of the product after 30 days of advertising. The number of people who become aware of the product at time t is:
a)
P(t) = 3 – 3e-/30
-1/30
b) О P() %3D е
t/30
3
%3D
-41/3
d) O P() 3D 3 - Зе
-1/30
P(t) = 3
f) O None of the above.
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