Q$.$ Weekly demand for shampoo at a supermarket is normally distributed with a mean of $2,800$ and a standard deviation of $1,000.$ The store manager, who continuously monitors the inventory, orders $10,000$ units even when there are $8,000$ units in inventory. The supplier takes $2\mathrm{.}5$ weeks to supply an order.

a$.$ What CSL does the store achieve?

b$.$ What fill rate does the store achieve? $[$NormDist$($ss$/L,0,1,0$

c$.$ What are the average inventory level and average flow rate?

A$.$