Perfect Perambulators makes upscale baby strollers $300$ days per year. They have a subcontractor supply axles for the strollers with a lead time of $5$ days. The annual demand for axles will be $39,000.$ The cost of processing an order is $$560$ per order. The unit cost of the axle is $$38\mathrm{.}80,$ and the cost of holding these axles is $12\mathrm{.}5\%$ of purchase cost.

Q$1.$ If average demand during lead time is normally distributed with a standard deviation of $25$ axles, what is the safety stock quantity if the company wants to maintain a $97\%$ service level? $($nearest whole unit$)$

Q$2.$ If average lead time is normally distributed with a standard deviation of $0\mathrm{.}5$ days, what is the safety stock quantity if the company wants to maintain a $97\%$ service level? $($round to nearest whole$)$