A major corporation is building a 4325 acre complex of homes, offices, stores, schools, and churches in the rural community of Glen Cove. As a result of this development, the planners have estimated that Glen Clove's population (in thousands) t yr from now will be given by the following function.
P(t) = (45 t^2 + 125t + 100)/(t^2 + 6 t + 50)
(a) What is the current population of Glen Cove?
(b) What will be the population in the long run?