A local college is hosting a flu vaccine clinic this Fall. People who attend the vaccine clinic will go through four stages: check-in, education, vaccine administration, and observation. The cycle times of these stages are 2 minutes, 2 minutes, 1 minute, and 3 minutes respectively. The school estimates that the average number of patients in the system at a given time will be 15. How long would you expect it to take for a person to get their vaccine from start to finish (in minutes)?