During an epidemic a population is classified as susceptible, infected, or recovered. Over each 14 day period, 5% of the susceptible population becomes infected 40% of the infected population recovers 10% of the recovered population becomes susceptible (a) Set up a matrix equation that models how the population transitions over each 14 day period. (b) If initially there are 1,000 susceptible, 100 infected, and 300 recovered individuals, determine the number of individuals in each category 14 days later.