On a given LAX$-$JFK flight there are $200$ seats $($only economy seats$).$ Suppose the ticket price is $$475$ for each seat, and the number of passengers who purchase a seat but do not show up for departure is normally distributed with a mean of $40$ and a standard deviation of $25.$ As the flight operator you decide to overbook the flight and estimate that the average loss from a passenger who will have to be $$bumped$($if the number of passengers who show up for the flight exceeds the number of available seats$)$ is $$800($in addition to refunding the original ticket price$).$ What is the maximum number of seats that should be sold?