Suppose that a country's population is 64 million and its population growth rate is 3.7% per year. If the population growth follows a logistic growth model with r=.053, what is the country's carrying capacity?

Answer 1

http://en.wikipedia.org/wiki/Logistic_function

dp/dt= rP(1-P/K)

You are looking for K, given r, and given dp/dt as .037

Isn't it just some algebra to solve?