Question

A new cell phone is introduced into the market. It is predicted that sales will grow logistically.

alendar Gradebook Assessment bast the original due date of Mon 03/16/2020 11:59 pm. You have used a LatePas Due Thu 03/19/2020 11:59 pr 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 70 thousand cell phones. After 30 thousand cell phones have been sold, sales are increasing by 3 thousand phones per month. Find the differential equation describing the cell phone sales, where y() is the number of cell phones (in thousands) sold after t months. Preview Enter at least 3 decimal places for the constants. Get help: Video License Points possible: 1 Unlimited attempts. Message instructor about this question Post this question to forum Submit

Answer 1

dy/dt = 0.175y(1-y/70)

For y(t) to be number of cell phones (in thousand) to be sold after t-months, it's logistic growth equation, de = KY (1 - 2 ) also where l' is the manimum no. of Phones that can be sold. Hence L=70 for y=30 , dy = 3 = 3 = kx 30(1-3) = 3 = KX 30% = K = 0.175 dt 90 Hence, differennial equation describing call Phone sares, de 0.1757 (17/10)