Question

The number N(t) of supermarkets throughout the country that are using a computerized checkout system is described by the differential Equation:

dN/dt = N(1-0.0005N); N(0) = 1

a.) Use phase portrait concept to predict how many supermarkets are expected to adopt the new procedure over a long period of time.

b.) Solve the differential equation and then use a graphing utility to plot the solution curve. How many companies are expected to adopt the new technology when t = 10?

Answer 1