The World Wildlife Fund (WWF) has placed a number of rare pygmy elephants into a conservation area in Borneo. They are aware that the environment in the area can support a limited number of these elephants. The number of pygmy elephants (N (25)) in the conservation area, after t years (since they were placed there) is modelled by the equation: _ 1600 _ 1 + 0.62-0-1415 ' N(t) (a) How many pygmy elephants were initially placed in the conservation area? Note that there are no pygmy elephants in the area, other than those placed by the WWF. (b) How many years will it take for the herd to reach 1200 elephants? (c) Using the model, nd the maximum number of elephants that the conservation area can sup- port? [3