A convenience store uses the fixed period inventory control system (FPS) to manage its inventory of distilled water bottles. This system relies on the following information Average weekly demand 80 bottles per week Load time 5 days Order cost $15 per order Unit cost $0.75 per bottle Annual inventory holding cost 30% for a year Standard deviation of weekly demand 12 bottles per week Desired service level with safety stock 90% Current on hand inventory Current scheduled receipts Current backorders Number of operating weeks per year 52 weeks Number of operating days per week 7 days You would need to show equations, steps, and the final results with units for full credits. Time units should be carefully treated. Final quantities should be founded up to whole numbers (a)[2What is the Economic Order Quantity Q' (B00)? (Rounded up to a whole number) (6 What is the time interval between reviews T in operating days? (Rounded up) (c)(2) What is the current inventory position (IP) in bottles? ()[5With safety stock, what is the replenishment level M(ST)? Sketch the normal demand distribution in the appropriate time window to illustrate the service level. (e)] If today is the review day and with safety stock, what is the order quantity? (12] Draw a diagram to illustrate how the inventory position moves over time. Include necessary details like review intervals, lead time, when to order and how many, etc