An online footwear firm Shoe-n-co has four regional warehouses. Demand at each warehouse is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000. Annual holding cost is 25%, and each unit of Prancs rubber shoes costs the company $10. Each order incurs an ordering cost of $1,000 (primarily from fixed transportation cost), and lead time is 1 week. The company wants the probability of stocking out to be no more than 5%. Assume 50 working weeks per year. a) Assuming that each warehouse operates independently, calculate the ROP parameter of the optimal continuous review policy: b)Assuming that each warehouse operates independently, calculate the Q parameter of the optimal continuous review policy: c) How much safety stock does each warehouse have? d) How much average inventory is held at each warehouse? e) What is the annual inventory cost (holding + ordering) for Shoe-n-co? f) On average, how long does a unit of product spend in the warehouse before being sold?