The drama department at a middle school wants to determine the price to charge for tickets to a show . If the price is too low, there won't be enough money to cover expenses. If its too high, they may not get a big enough audience. The teacher estimates that the profit, P, in dollars per show, can be represented by `P=-(t-12)^2+100` , where t is the price of a ticket in dollars . When the profit is 0, the drama department breaks even . What is the lowest ticket price for which the department breaks even ?