During an experiment, the growth rate of a bacteria colony is recorded

During an experiment, the growth rate of a bacteria colony is recorded. It is found that, to a good approximation, the growth rate of the number of bacteria in the colony is given by

\(R=\sqrt{N}(2000-(20-T)^2)\),

where R is the growth rate in millions per hour, N is the number of bacteria, in millions, at the beginning of the experiment, and T is the time, in minutes, that had passed since the beginning of the experiment. The experiment is 1 hour long, so T varies between zero and 60. What is the maximum growth rate of the bacteria colony recorded during the experiment?

A. 400√N millions of bacteria per hour
B. √N millions of bacteria per hour
C. 2000 millions of bacteria per hour
D. 2000√N millions of bacteria per hour
E. 1600 millions of bacteria per hour