A golf specialty wholesaler operates $50$ weeks per year. Management is trying to determine an inventory control policy for its $1-$irons, which have the following characteristics: Mean demand $=2000$ units$/$year Demand is normally distributed. Standard deviation of weekly demand $=20$ units Order cost $=$ $$72/$order Annual holding cost $=$ $$5/$unit Desired cycle$-$service level $=90\%$ Lead time $=4$ weeks The current on$-$hand inventory is $300$ units, with no open orders and a backorder of $50$ units. Currently, the company uses a continuous review $($s$,$ S$)$ policy. a$.$ What is the EOQ? $(15$ points$)$ b$.$ What should be the safety stock? What should the reorder point be$?(15$ points$)$ c$.$ An inventory withdrawal of $20$ units was just made. Is it time to reorder? $(10$ points$)$