The Bureau of Labor Shenanigans announces, of all adult Vulcans:

275,000,000 were employed,

28,000,000 were unemployed, and

189,000,000 were not in the labor force.

Use the above information to calculate (Show all work in context):

1. a) The adult population
2. b) The labor force
3. c) The labor-force participation rate
4. d) The unemployment rate
5. e) True, false, uncertain, or not enough information?

The labor force participation rate increases while the unemployment rate increases if 1,000,000 adults from the same adult population now stop looking for work?

Explain with numerical evidence