A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 183 lb and a standard deviation of 45 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3500 lb. Complete parts (a) through (d) below.

(a) Given that the water taxi was rated for a load limit of 3500 lb, What is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity of 25 passengers? The maximum mean weight is ______ lb.