Comment Comment by eterm This really overcomplicates the mathematics.Steady state implies Leavers = Joiners.If 100 people join each month then you'll have steady state when there are 100 leavers, i.e. when 50% of N is 100. N * 50% = 100 solves to N = 200.In general with X% attrition and Y people joining you'll have a steady number of subscribers N using the formulaN * (1 - X) + Y = NWhich can be rearranged to N * X = Y. parent eterm 9 years ago
Steady state implies Leavers = Joiners.
If 100 people join each month then you'll have steady state when there are 100 leavers, i.e. when 50% of N is 100. N * 50% = 100 solves to N = 200.
In general with X% attrition and Y people joining you'll have a steady number of subscribers N using the formula
N * (1 - X) + Y = N
Which can be rearranged to N * X = Y.