Math Problem Solver

A country is divided into four demographic regions. It is found that each year 10% of

the residents of region 1 move to region 2, 20% to region 3, and 30% to region 4. Of the

residents of region 2, 20% move to region 1, 10% to region 3, and 10% to region 4. Of the

residents of region 3, 10% move to region 1, 20% to region 2, and 20% to region 4. And

of the residents of region 4, 30% move to region 1, 10% to region 2, and 20% to region

3. Find the size of the population in each of the four regions after 3 years if 100 000,

200 000, 300 000, and 400 000 people currenty reside in each region 1, region 2, region 3,

and region 4, respectively