$2-$ The Ziggys Bicycle Shop operates $364$ days a year, closing only on Christmas Day. The shop pays $$400$ for a particular bicycle purchased from the manufacturer. The annual holding cost per bicycle is estimated to be $20\%$ of the dollar value of inventory. The shop sells an average of $20$ bikes per week. The cost for each order is $$225.$

Determine the optimal order quantity, optimal number of orders, order cycle time, and the total minimum cost.

Determine reorder point if the lead time to receive every order is $6$ days.