Austin High School’s volleyball team has made it to the state championship. They have 300 tickets to the big game. They will sell tickets to students for 5 dollars and to teachers for 6 dollars. School rules say that there must be at least 1 teacher for every 5 students on the trip. The school also wants to have at least twice as many students as teachers on the trip. There are 110 seats on the school bus that ticketholders must use to ride to the game. Each seat can fit either 2 teachers or 3 students. To how many teachers should the school sell tickets to maximize their revenue (and such that all ticketholders fit on the bus)?