Question $2$

A one$-$time seasonal sales opportunity for a retail store for a product has a demand normally distributed demand with mean of $1000$ and standard deviation $100.$ The cost of procuring the products from the supplier of the product is $$40$ per unit. The sales price of the product is $$70.$ Any unsold units can be sold at a discounted price of $$20.$ What is the optimal order quantity that minimizes the expected total understocking and overstocking costs? $($Rounded up to the nearest integer$)$

$1$ point