Consider the following data on employment and unemployment in a country for the year 2022:

Total population: 10,000

Labour force: 6,000

Employed: 5,500

Unemployed: 500

Discouraged workers: 100

Not in the labour force: 4,000

1. Calculate the labour force participation rate for the given year. 

1. Calculate the unemployment rate for the given year. 
2. 
   
3. Identify and define two types of unemployment that can be inferred from the given data.
4. 
   
5. Calculate the discouraged worker rate for the given year.
6. 
   
7. Discuss two possible reasons why discouraged workers exist and how they impact the overall labour market.