A model for the population P(t) in a suburb of a large city is given by the initial-value problem dP P(10-1 - 10-7P), dt P(0) = 4000, %3D where t is measured in months. What is the limiting value of...

Extracted text: A model for the population P(t) in a suburb of a large city is given by the initial-value problem dP P(10-1 - 10-7P), dt P(0) = 4000, %3D where t is measured in months. What is the limiting value of the population? At what time will the population be equal to one-half of this limiting value? (Round your answer to one decimal place.) months