answer all of them plz

- Suppose that for a certain metropolitan area and the surrounding counties, during each 5 year period an average of 20% of the metropolitan population M moves to the surrounding counties and the rest remains similarly, suppose that in the same period, an average of 30% of the surrounding counties pooulation S moves to the met ooean area and the rest remains. This population dynamic can be represented by the following matrix M S 80% 30% 20%)"-10.8 70%JS10.3 0.2 0.7 where row 1 shows how the metropolitan population M changed (80% remained in M and 20% moved to S and ro 2 chore io, the population ofre surrounding countin changed. Currently the population is evenly divided between the two areas, which can be represented by the row matrix Pa %in M %ins)-50% 50%|- |0.5 0.5 (a) Form the product PD Interpret its entries. After 5 years, M has %and Shas % of the population. (b) Predictions of this population distribution after 10 years and after 15 years could be found from what matrix products? 10 years P. 15 years P (c) Suppose that at some future time, the populations reach the point where 60% live in the metropolitan area and 40% we in the surrounding counties, flad the predicted distribution 5 years later 3 5 6 7 8 9