Use the data below to answer the question below.

Average daily demand $100$ cases per day

Standard deviation of daily demand $20$ cases per day

Average Lead Time $2$ days $($constant$)$

Inventory holding cost $20\%$ of the item's value per year

Purchase Price $$40$ per case

Order Cost $$10$ per order

Stockout Cost $$20$ per case

Desired Service Level $80\%$

Assume the company operates $365$ days per year

What is the recommended economic order quantity $($EOQ$)?$