Final answer:
The official unemployment rate is 9.09%. If 100 unemployed job seekers become discouraged workers, the unemployment rate decreases to 4.54%. If 100 retired people become job seekers, the unemployment rate increases to 13.04%.
option a is the correct
Step-by-step explanation:
The official unemployment rate is calculated by dividing the number of unemployed individuals by the number of individuals in the labor force. In this case, the number of unemployed job seekers is 200, and the number of individuals in the labor force is the sum of part-time workers (800), full-time workers (1,000), unemployed job seekers (200), and military personnel (200), which totals to 2,200. Dividing 200 by 2,200 gives an unemployment rate of approximately 9.09%.
If 100 unemployed job seekers are now defined as discouraged workers, the number of unemployed individuals decreases to 100. The labor force remains the same at 2,200. Dividing 100 by 2,200 gives an unemployment rate of approximately 4.54%.
If 100 retired people become job seekers, the number of unemployed individuals increases to 300. The labor force increases to 2,300 (by adding the 100 retired people to the previous labor force). Dividing 300 by 2,300 gives an unemployment rate of approximately 13.04%.