The number N(t) of supermarkets throughout the country that are using a computerized checkout system is described by the initial-value problem dN = N(1 - 0.0008N), N(0) = 1. dt (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. ]supermarkets By hand, sketch a solution curve of the given initial-value problem. N 600 1200아 1000 1200- 1000 500 800 400 800 600 600 300 400 400아 200 200 200아 100 5 10 15 20 10 15 20 10 15 20 600 500 400 300 200 100 10 15 20

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