Population dynamics is impacted by the continual movement of people who are seeking betterquality of life or better employment. The city of Mobile has an inner-city population, a suburbanpopulation, and a surrounding rural population. The census taken in 10-year intervals shows that 10%of the rural population move to the suburbs and 5% to the inner city. For the suburban population, 30% move to rural areas and 15% to the inner city. Inner city population would not move intosuburbs, but 20% of them move to the quiet rural life. (a) Express the population dynamics as a Markov Chain. (b) If the greater mobile area currently includes 20,000 rural residents, 100,000 suburbanites, and30,000 inner-city inhabitants, what will the population distribution be in 10 years? In 20 years? (c) Determine the long-run population picture of Mobile.