The conservation organization releases 100 animals of the endangered species in the game preserve. Organization thinks that preserve has the carrying capacity of 1000 animals and growth of herd will follow logistic curve
p(t) = (1000)/{1 + .9e^{-.1656t}}
where t is measured in months.
(a) Determine the population after five months?
(b) After how many months will population reach 500?
(c) Use the graphic utility to graph function. Use graph to find out values of p at which horizontal asymptotes occur. Find the asymptote that is most suitable in context of problem and interpret its meaning.