Royafrech's South Jersey warehouse faces a dally demand that is normally distributed, with mean 1,000 and standard deviation 100 pallets. RoyalTech's supplier has a lead-time that is normally distributed, with mean 5 days and standard devintion 1 day. RoyalTech reviews its imventory periodically, that is, every 7 days. (Hint: think about the inventory model appropriate here) RovalTech's warehouse runs 365 days a year, and the cost of carrying inventory is 18.25% per year. The supplier charges Rovaltech $2,000 per pallet, and $5,000 per delivery. Rovaltech plans to maintain 98$SL. NORMSINV(0.98) =2.054.(2.054)=0.0073. Answer the following questions. 1. How much safety stock should RovalTech carry? pallets. 2. What is RoyalTech's average inventory? pallets. 3. What is the total relevant cost incurred by RoyalTech per day? $ 4. What is the Fil Rate that RoyalTech is able to achieve for this service level