Answer
Labor force: $230$
Unemployment rate: $10\%$
Work Step by Step
Given:
Total population = $500$
Under-16 or institutionalized = $120$ (not in labor force)
Not in labor force (other adults) = $150$
Unemployed = $23$
Part-time workers wanting full-time = $10$ (counted as employed)
Labor force $= 500 − 120 − 150 = 230$.
Official unemployment rate = unemployed / labor force = 23 / 230 = 0.10 = 10%.
(Employed = 230 − 23 = 207; the 10 part-timers are included among the 207 employed.)
