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Albert is planning on selling Holiday fruitcakes through a website and having a third party fulfillment company handle the shipping and warehousing for him. He estimates that he will Attempt due: Aor $23$ at $11\mathrm{.}59$ pm profit $$50$ for each unit that he sales. The problem is he must send all of his fruitcakes to the fulfillment company ahead of the holiday season and following the season any remaining fruitcakes will be donated to charity. He estimates that unsold fruitcakes will cost him $$30$ in total for all expenses. Based on last years sales he expects demand to be $474$ fruitcakes with a standard deviation of $28$ fruitcakes. If he behaves optimally how many fruitcakes will he send to the fulfillment company? Round to the nearest whole number.