The number (t) of supermarkets throughout the country that are using a computerized checkout system is described by the initial-value problem dN = N(1 - 0.0004N), N(0) = 1. dt (a) Use the phase...

Extracted text: The number (t) of supermarkets throughout the country that are using a computerized checkout system is described by the initial-value problem dN = N(1 - 0.0004N), 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 1200 2500 1000 2000 800 1500 600 1000 400 200 500 5 10 15 20 10 15 20 N 2500 1200 2000 1000 800 1500 600 1000 400 500 200 5 10 15 20 5 10 15 20 (b) Solve the initial-value problem and then use a graphing utility to verify the solution curve in part (a). N(t) = How many supermarkets are expected to adopt the new technology when t = 15? (Round your answer to the nearest integer.) | supermarkets Submit Answer