A study of the antelope population in a wildlife park has shown that antelope regularly move between three locations, east (), north () and west ().

Let  be the state matrix that shows the population of antelope in each location months after the study began.

The expected population of antelope in each location can be determined by the matrix recurrence rule
 

where

and

The state matrix, , below shows the population of antelope three months after the study began.
 

The number of antelope in the west () location two months after the study began, as found in the state matrix , is closest to

1. 2060
2. 2130
3. 2200
4. 2240
5. 2270