A sandwich shop operates on a single$-$period model, making fresh sandwiches every morning before opening. The average profit is $$3\mathrm{.}00$ per sandwich, and the average cost of labor for making a sandwich is $$1.$ The ingredient cost is $$2\mathrm{.}75$ per sandwich. Based on past data, the number of sandwiches sold on a single day is distributed normally. The average number sold is $52$ sandwiches, with a standard deviation of $8.$ What number of sandwiches should the store make in the morning to maximize expected profit?