The annual demand for a product is $16,000$ units. The weekly demand is $308$ units with a standard deviation of $80$ units. The cost to place an order is $$30\mathrm{.}50,$ and the time from ordering to receipt is six weeks. The annual inventory carrying cost is $$0\mathrm{.}10$ per unit.

Find the reorder point necessary to provide a $95$ percent service probability.

Note: Use Excel's NORM.S$.$INV$()$ function to find the z value. Round z value to $2$ decimal places.

Suppose the production manager is asked to reduce the safety stock of this item by $50$ percent. If she does so$,$ what will the new service probability be$?$

Note: Use Excel's NORM.S$.$DIST$()$ function to find the correct probability for your computed z value. Round $"$z$"$ value to $2$ decimal places and final answer to $1$ decimal place.