Question $7$

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.$

If the store stocks $400$ avocados, what would be its expected profit from selling avocados during the week?

$$581\mathrm{.}32$

$$560\mathrm{.}63$

$$600\mathrm{.}63$

$$481\mathrm{.}32$