Question 3 (Essay Worth 30 points) (07.07 HC) A certain bacteria grows according to the function P. Consider P a solution to the logistic differential equation = 4P 2-= P dt 7000 where P is the population of bacteria and t is measured in days. Part A: If P(0) = 2,400, solve for P(t). (10 points) Part B: What is the largest rate of increase in the number of bacteria? (10 points) Part C: What will be the maximum number of bacteria? Explain your reasoning. (10 points)