The hourly operating cost of a plane which seats up to 405 passengers is estimated to be $5,274. If an airline charges each passenger a fare of $120 per hour of flight, find the hourly profit P it earns operating the plane as a function of the number of passengers x. [HINT: The cost function is constant (variable cost = 0).] P(x) =
Specify the domain. (Enter your answer using interval notation.)

What is the least number of passengers the plane must carry to make a profit? (Round your answer up to the nearest whole number.)