Final answer:
Person B is cyclically unemployed because they were laid off from the automobile industry during a recession and are actively searching for a new job.
Step-by-step explanation:
The person who is cyclically unemployed in this scenario is Person B. They were laid off from the automobile industry when new equipment was installed and they did not have the necessary skills to use the equipment. Person B is now actively searching for a new job.
Cyclical unemployment refers to unemployment that occurs as a result of fluctuations in the business cycle. It typically increases during recessions when there is a downturn in economic activity. In this case, the drop in new housing construction during a recession led to layoffs in the landscaping industry and impacted Person B's employment situation.