Answer: 4. the national unemployment rate and the LFPR both go up
Explanation:
The National Unemployment Rate is a measure of people who are actively seeking work but are still not employed. Bill is actively seeking employment but does not have it and so is in this category. As a result of his inclusion, this rate increases.
The Labor Force Participation Rate (LFPR) is a measure of an economy's ACTIVE workforce.
It is calculated by dividing the number of all workers who are employed or ACTIVELY SEEKING employment divided by the total noninstitutionalized, civilian working-age population.
Bill also falls under this category and so his inclusion here also serves to increase this rate.