Assume that a society has two types of workers that lose jobs in a given year. Society A has 2 million workers losing their jobs; each person takes a year to find a new job. Society B has 24 million workers losing their jobs; each worker takes a month to find a new job.

iii. The residents of a certain dormitory have collected the following data: people who live in the dorm can be classified as either involved in a relationship or uninvolved. Among involved people, 10 percent experience a breakup of their relationship every month. Among uninvolved people, 5 percent enter into a relationship every month. What is the steady-state fraction of residents who are uninvolved?

iiii. If the economy were at a steady-state unemployment rate with a separation rate of 0.04 per month and a job-finding rate of 0.16 per month, and the labor force was 200 million, how many individuals would lose their jobs each month?