POPULATION GROWTH Studies show that when environmental factors impose an upper bound on th...

POPULATION GROWTH Studies show that when environmental factors impose an upper bound on the possible size of a population P(t), the population often tends to grow in such a way that the percentage rate of change of P (t) satisfies

where A and B are positive constants. Where does the graph of P(t)have an inflection point? What is the significance of this point? (Your answer will be in terms of A and B.)