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 80 thousand cell phones.

After 33 thousand cell phones have been sold, sales are increasing by 3 thousand phones per month.

Find the differential equation describing the cell phone sales, wherey(t)is the number of cell phones (in thousands) sold aftertmonths.

dy / dt=______________

Enter at least 3 decimal places for the constants.