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I HAVE ALREADY DONE PART A.

Do not attempt this question if you think it'll take to long because I have already warned it is a longer question. THERE IS NOTHING MISSING OR INCOMPLETE. PLEASE READ CAREFULLY!! I have also listed my work in part A because it is needed for part b

\f\fThe equations for using Euler's Method in the SIR model are given by St+1 = St -bS,It At It+1= h+ (bSthe - kl.) At Re+1 = Re + kl. At 7. For this problem, let b = 1.5, k = 0.6, and At = 1. Assume that time progresses by weeks, so that t = 0 is week 0, t = 1 is week 1, and so on. (a) Rewrite the Euler's Method formulas using the information given about b, k, and At. (Note: You do not need to show any rough work for this question.) (b) Suppose in a population of 1000, there are 200 people infected with a disease and the rest are susceptible and no one has yet recovered, so that So = 800 0.8 200 1000 Io = 1000 = 0.2 Ro = 0 . Use a spreadsheet and Euler's Method to determine the fraction of the population suscep tible to, infected, and recovered from this disease after 6 weeks, i.e. calculate S6, 16, Re. Please use the exact numbers in your spreadsheet, but if filling out the table on the cover sheet you may round to three decimal places. (c) How many people in this population of 1000 are susceptible, infected, and recovered after 6 weeks