A population of insects is divided into two age stages. The females in the first stage produce on average 2 female offspring and have a survival rate of 10% to stage two. The females in stage two produce on average 4 female offspring and survive at rate 20%. (a) If the population were to exist for a long time with the above mentioned conditions staying the same, what would the long-term growth rate of the population be per time period? If at time 150, the popu- lation of insects has reached the equilibrium growth rate with 1 million females present, approximately how many females would be present at time 151? (b) If the population were to exist for a long time with the above mentioned conditions staying the same, approximately what fraction of the population would be in each of the two stages? A population of insects is divided into two age stages. The females in the first stage produce on average 2 female offspring and have a survival rate of 10% to stage two. The females in stage two produce on average 4 female offspring and survive at rate 20%. (a) If the population were to exist for a long time with the above mentioned conditions staying the same, what would the long-term growth rate of the population be per time period? If at time 150, the popu- lation of insects has reached the equilibrium growth rate with 1 million females present, approximately how many females would be present at time 151? (b) If the population were to exist for a long time with the above mentioned conditions staying the same, approximately what fraction of the population would be in each of the two stages