A demographic study of the metropolitan area around Dog patch divided it into three regions-urban, suburban, and exurban-and published the following table showing the annual migration from one region to another (the numbers represent percentages):

For example, 0.3 percent of the urbanites (0.003 times the current population) move to the suburbs each year. The diagonal entries represent internal growth rates. Using a two-dimensional array with an enumerated type for the indices to store this table. write a program to determine the population of each region after 10,20,30,40, and 50 years. Assume that the initial populations of the urban, suburban, and exurban regions are 2.1 million, 1.4 million, and 0.9 million, respectively.