Biology a lake is stocked with 500 fish, and the fish population p begins to increase according to the logistic growth model
p = 10,000/1 + 19e-t/5, t > 0
where t is measured in months.
(a) find the number of fish in the lake after 4 months.
(b) use a graphing utility to graph the model. find the number of months it takes for the population of fish to reach 4000.
(c) does the population have a limit as t increases without bound? explain your reasoning.