Suppose demographic studies show that each year about 5% of the city’s population moves to the suburbs (and 95% remains in the city), while 3% of the suburban population moves to the city (and 97% remains in the suburbs). It is known that the population in 2015 was 600,000 in the city and 400,000 in the suburbs. Compute the population in the city for the year 2017.

Sure, let's calculate the population in the city for the year 2017 step by step.

1. First, we need to calculate the population for the year 2016. According to the problem, 5% of the city's population moves to the suburbs each year, and 3% of the suburban population moves to the city.

   So, for the city, the population in 2016 would be 95% of the 2015 population plus 3% of the suburban population.

   For the city: Population in 2016 = (95% of 600,000) + (3% of 400,000) Population in 2016 = 570,000 + 12,000 Population in 2016 = 582,000

2. Now, we need to calculate the population for the year 2017. We'll use the same method as above, but this time we'll use the populations from 2016.

   For the city: Population in 2017 = (95% of 582,000) + (3% of the remaining suburban population)

   But first, we need to calculate the suburban population for 2016.

   For the suburbs: Population in 2016 = (97% of 400,000) + (5% of 600,000) Population in 2016 = 388,000 + 30,000 Population in 2016 = 418,000

   Now we can calculate the city population for 2017.

   Population in 2017 = (95% of 582,000) + (3% of 418,000) Population in 2017 = 552,900 + 12,540 Population in 2017 = 565,440

So, the population in the city for the year 2017 would be approximately 565,440.