Use for the following $8$ questions: 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 $.1-$What would be the economic order quantity $($round to nearest whole unit $)?2-$What is the reorder point $?3-$How many times per year would Perfect Perambulators have a setup? $($nearest whole number$)4-$What would be the total annual inventory cost for this part? $($nearest dollar$)5-$If Perfect Perambulators orders a single full pallet of $2500$ axles at a time for convenience instead of the EOQ, how much is the company overpaying in total inventory cost? $($ nearest dollar $)6-$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 $)7-$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 $)8-$What would be the total annual inventory cost for this part using EOQ and including the safety stock determined in the previous problem $($problem with standard deviation of $0\mathrm{.}5$ day$)?($round to nearest dollar$)9-$A copy center uses $50$ reams of paper per day. Average demand during a $5$ day lead time is normally distributed with a standard deviation of $7$ reams. What reorder point provides a service level of $90\%?($round to nearest whole number$)$