Consider the population model

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

\dfrac{dP}{dt}=0.3\,P\,(1200-P)

, where

P

is measured in bacteria and

t

in hours. What is the maximum possible value of

\dfrac{dP}{dt}

, in bacteria per hour? (a)

360\,000

(b)

108\,000

(c)

90\,000

(d)

81\,000