The number N(t) of supermarkets throughout the country that are using a computerized checkout system is described by the initial-value proble,

dN/dt=N(1-0.0005N), N(0)=1
(a) Use the phase portrait concept of Section 2.1 to predict how many supermarkets are expected to adopt the new procedure over a long period of time. dN/dt = N(1 − 0.0005N), N(0) = 1.
(b) Solve the initial-value problem and then use a graphing utility to verify the solution curve in part (a). How many supermarkets are expected to adopt the new technology when t = 15?