Consider a population undergoing logistic growth. When are the most individuals added to the population per unit time?

Question

Consider a population undergoing logistic growth.  When are the most individuals added to the population per unit time?

Quizplus · Accepted Answer

The rate of change of the population is given by dN/dt = rN((K-N)/K), where r is the growth rate and K is the carrying capacity. This equation is maximized when the logistic factor ((K-N)/K) is at its midpoint, which occurs when (K-N)/K = 0.5. At this point, the population is adding the most individuals per unit time. Therefore, the answer is C.

Consider a Population Undergoing Logistic Growth