Epidemiology A flu epidemic is spreading through a town of 48,000 people. It is found that...

Epidemiology A flu epidemic is spreading through a town of 48,000 people. It is found that if x and y denote the numbers of people sick and well in a given week, respectively, and if s and w denote the corresponding numbers for the following week, then

.

(a) Write this system of equations in matrix form.

(b) Solve the resulting matrix equation for .

(c) Suppose that 13,000 people are sick in a given week. How many were sick the preceding week?

(d) Same question as part (c), except assume that 14,000 are sick.