The following problem is about cell growth. suppose there are three types of cells: young, midlife and old. midlife cells create one young cell each period. old cells create one young cell each period. every young cell splits into two midlife cells each period. every midlife cell splits into two old cells each period. warning: to solve the growth rate and long-term distribution, you will need an understanding of complex numbers.
a) produce the leslie matrix representing this type of cell growth.
b) find the long-term growth rate.
c) what is the long-term distribution?