The Adventure Travel bus company has determined that when x tourists are given a particular bus tour, the profit P (in dollars) is given by P(x) =...

29. The Adventure Travel bus company has determined that when x tourists are given a particular bus tour, the profit P (in dollars) is given by P(x) = -0.25 x 2 + 25.50x - 120 (a) What is the company's profit if 30 tourists are given the tour?

(b) How many tourists should be given the tour in order to maximize the company's profit? Show work.