A new cell phone is introduced into the market. It is predicted that sales will grow logistically. The manufacturer estimates that they can sell a maximum of 100 thousand cell phones. After 42 thousand cell phones have been sold, sales are increasing by 2 thousand phones per month. Find the differential equation describing the cell phone sales, where y(t) is the number of cell phones (in thousands) sold after t months. dy dt Enter at least 3 decimal places for the constants.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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A new cell phone is introduced into the market.
It is predicted that sales will grow logistically.
The manufacturer estimates that they can sell a
maximum of 100 thousand cell phones.
After 42 thousand cell phones have been sold,
sales are increasing by 2 thousand phones per
month.
Find the differential equation describing the cell
phone sales, where y(t) is the number of cell
phones (in thousands) sold after t months.
dy
dt
Enter at least 3 decimal places for the constants.
II
Transcribed Image Text:A new cell phone is introduced into the market. It is predicted that sales will grow logistically. The manufacturer estimates that they can sell a maximum of 100 thousand cell phones. After 42 thousand cell phones have been sold, sales are increasing by 2 thousand phones per month. Find the differential equation describing the cell phone sales, where y(t) is the number of cell phones (in thousands) sold after t months. dy dt Enter at least 3 decimal places for the constants. II
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