Please show written work on each section if possible.

1) A store has collected the following information on one of its products: Demand = 4,500 units/year Standard deviation of weekly demand = 12 units Ordering costs = $40/order Holding costs = $3/unit/year Cycle-service level = 90% Lead-time = 2 weeks Number of weeks per year = 52 weeks a. If a firm uses the continuous review system to control the inventory, (i) What would be the economic order quantity? (i) What would be the reorder point? b. The firm decided to change to the periodic review system to control the item's inventory. For the most recent review, an inventory clerk checked the inventory of this item and found 300 units. There were no scheduled receipts or backorders at the time. 1) What would be the time between reviews, P? (Hint: Use the EOQ model to derive P) (ii) What would be the target inventory level? (111) How many units should be ordered