The correct answer to this open question is the following.
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Central Park started as a place "for the well-off more than a park for the people" because only wealthy people had the spare time to go and enjoy the park. Most of the people in New York were dedicated to working in the industries and getting other jobs to feed their families. Workers labored for long hours in the industries under unhealthy and risky conditions. For that work in the factore¿ies they earned low salaries and some had to look for another job. They had no free time to rest or have fun as the wealthy people had in New York City.
Furthermore, in the beginning, the area was more of series of open spaces, more than a park. The city had to do some reconstruction to arrange the area and have a real park. So those small spaces were occupied by the wealthy Newyorkers.