​Sam's Cat Hotel operates weeks per​ year, days per​ week, and uses a continuous review inventory system. It purchases kitty litter for ​$ per bag. The following information is available about these bags. Refer to the standard normal tableLOADING... for​ z-values. Demand ​= ​bags/week Order cost​ = ​$​/order Annual holding cost​ = percent of cost Desired ​cycle-service level percent Lead time​ = ​week(s) ​( working​ days) Standard deviation of weekly demand​ = bags Current ​on-hand inventory is ​bags, with no open orders or backorders. a. What is the​ EOQ? ​Sam's optimal order quantity is 405 bags. ​(Enter your response rounded to the nearest whole​ number.) What would be the average time between orders​ (in weeks)? The average time between orders is 4.7 weeks. ​(Enter your response rounded to one decimal​ place.) b. What should R ​be? The reorder point is nothing bags. ​(Enter your response rounded to the nearest whole​ number.)