Quick calc problem :)

(07.07 MC) The number of guests at a theme park can be modeled by function P(t) where t is measured in hours. P is a solution to the logistic differential equation dp _P p2 where P(0) = 4,500. What is the greatest rate of change of the number of guests at the park, per dt 2 60000 hour? O 2,312 guests per hour O 3,750 guests per hour 7,500 guests per hour 15,000 guests per hour