In a call center environment, the management team is analyzing the performance of their queue management system. They have observed that the average wait time for callers has increased significantly over the past month. The team decides to implement a new strategy to optimize the queue. They have the following data: the average number of incoming calls per hour is 120, and the average handling time per call is 3 minutes. If they want to maintain a service level of 80% of calls being answered within 2 minutes, what is the minimum number of agents they need to have on duty during peak hours to achieve this service level, assuming a Poisson arrival process and an exponential service time distribution?