$$ Osprey Sports stocks everything that a musky fisherman could want in the Great North Woods. A particular musky lure has been very popular with local fishermen as well as those who buy lures on the internet from Sprey sports. The cost to place orders with the supplier is $$40/$order; the demand averages $5$ lures per day, with a standard deviation of $1$ lure; and the inventory holding cost of $$1$ per lure per year. The lead time from the supplier is $9$ days, with a standard deviation of $3$ days. It is important to maintain a $98\%$ service level to properly balance service with inventory holding costs. Osprey Sports is open $350$ days a year to allow the owners the opportunity to fish for muskies during the prime season. The owners want to use a continuous inventory system for the item.

$1.$ What order quantity should be used?

$2.$ What reorder point should be used $?$

$3.$ What is the total annual cost of this inventory system?