6. An eager graduate student at Carleton, counts geese in the marshes off the Ottawa river. In 2004, they counted 2500 geese. During the next year, 500 goslings hatched, 45 immigrated, 200 died and 30 emigrated. Determine the following:
a. Population change in individuals, in % and per capita
b. The expected size of the population after 2, 4 and 8 years, given unlimited resources
c. The doubling time, where r = 0.1725
d. Assuming a carrying capacity of 4235 geese, when will the geese population reach carrying capacity under ideal conditions?