Daily demand for a certain product is normally distributed with a

mean of $60$ and standard deviation of $7.$ The source of supply is

reliable and maintains a constant lead time of six days. The cost of

placing the order is $$10$ and annual holding costs are $$0\mathrm{.}50$ per unit.

There are no stockout costs, and unfilled orders are filled as soon as

the order arrives.

Assume sales occur over the entire $365$ days of the year. Find the

reorder point to satisfy a $95$ percent probability of not stocking out

during the lead time