Avocados are one of the most popular items sold in a grocery store. On Monday morning, the store is stocking avocados to sell over the week. The demand for avocados during the week is Normally distributed with the mean of $400$ and standard deviation of $200.$ Avocados have short lifecycle, and any remaining avocados at the end of the week must be thrown away. The store purchases avocados for $$1$ each unit and sells each unit for $$3.$

What is the optimal quantity of avocados the store should order?

$486$

$313$

$533$

$400$