XYZ Inc Hires Only Retired People for Its Greeter's Job $\mathrm{D}$

True/False

XYZ Inc. hires only retired people for its greeter's job. They always start on January 1 and are considered for promotion every January 1st thereafter. On every January 1st, any existing greeter (state G) - those who were greeters last year - may be retired (state R), may be dead (sate D), may continue as a greeter (state G), or may be promoted as greeter -in-chief (state GIC). Persons in state GIC may continue in it or move to states $\mathrm{D}$ or $\mathrm{R}$ in one year. The following is the transition matrix. This matrix has a set of cyclical states, namely states 3 and 4 .