Suppose that a population develops according to the logistic equation $$\frac{dP}{dt} = 0.1 P - 0.00025 P^2$$ where $t$ is measured in weeks.

(a) What is the carrying capacity?


(b) Is the solution increasing or decreasing when $P$ is between $0$ and the carriying capacity?
? increasing decreasing

(c) Is the solution increasing or decreasing when $P$ is greater than the carrying capacity?
? increasing decreasing