A large field is occupied by snakes and rats. The rats eat everything they can and the snakes eat the rats. The population sizes of snakes and rats change over time as followsR k+1S k+1=1.4R k−0.3S K=0.6R k+0.3S kwhereS kandR kare the sizes of the snake and rat populations at the end of yeark. At the end of 2020 , there were 3 rats and 2 snakes. (a) At the end of 2022, there were approximately (b) At the end of 2032 , there will be approximately (c) Assuming different initial population sizes, then in order for both populations to survive in the long run the initial population of rats must be
