Hadey is planning an advertising blitz for his new amusement park, but
he’s aware that the park will be much more appealing in warm weather
than when it’s rainy and cold. He doesn’t want to try to operate the
park if there won’t be a crowd, so he needs to iron out when exactly to
open and close the park each year. Hadey is a goat, and doesn’t
understand climate change (who does?) so he just uses the most recent
twelve months as a guideline. The temperature in Los Angeles peaked in
2022 on September 9 at around 102°F, followed by a low of about 57°F
approximately 6 months later. Hadey is confident that he’ll get good
turnout as long as the high temp any given day is at least 72°F.
Assuming that the high temperature is periodic, what day should he
open and close the park each year?