Your garage band has become quite popular and your manager is booking dates for a local event. By using past records, you know the profits, p can be modeled by the function p = 50 + 600t - 15t ^ 2 , where t represents the ticket price in dollars. What ticket price will yield the maximum profit? What is the maximum profit? If your expenses to perform are $ 1570 and there are 5 band members , how much will each member receive for playing the event?