The profit from selling local ballet tickets depends on the ticket price. The profit (in dollars) as a function of the price (in dollars) of each ticket is modeled by the function p(x). Show all algebraic work to support your answers. p(x) =-15x2+600x+60 Determine the ticket price that yields the maximum profit. Write your final answer as a complete sentence. What is the maximum profit that can be achieved from selling these ballet tickets? Write your answer as a complete sentence. Find the value(s) of x when p(x) = 4,845. Explain the meaning of your answer(s) in a complete sentence in relation to the given situation. Find the horizontal intercepts of the function p(x). Interpret the meaning of the horizontal intercepts in the context of this situation. Show all work. Round to the nearest tenths place if necessary