In 2009, the H1N1 flu strain created a worldwide pandemic which health officials monitored quite closely. Suppose that a community contains 400,000 people who are susceptible to the H1N1 Flu. At time t=0 the number N(t) of people who have developed symptoms of H1N1 is 12,000 AND is increasing at the rate of 200 per day. assume that N ' ( t) is proportional to the product of the numbers of those who have caught the disease and those who have not. How long will it take for 60,000 people to develop symptoms of the H1N1 FLU ?