Part A- Period2ic Review Inventory System(Answer requires one final numerical result only: Order Quantity tobe placed)A distribution center anages its inventory for a high-demand product using a Periodic ReviewInventory System. Orders are reviewed and placed every 10 days, with an average lead time of5days from the supplier. The center aims for a98% cycle service level, for which the Z-value is2.05.Demand for the product over the last 12 weeks isas follows:The standard deviation of weekly demand is22.5 units, based on historical data. The inventoryposition at the end of the current review period is300 units (includingon-hand stock, outstandingorders, and subtracting backorders).The management wants to determine the optimal Order-Up-To Level (T) using the Periodic ReviewModel, to ensure that the stock covers the full protection period. The protection period is defined asthe review period plus lead time, totaling 15 days. Since demand is tracked weekly, convert dailydemand accordingly.Use the following formulas:Average weekly demand:=i=112Di12Average daily demand:d=7Mean demand during protection period (in units):PP=d15Standard deviation during protection period:PP=week1572Order-Up-To Level:T=PP+Z*PPOrder Quantity:Q=T- Inventory PositionFinal Question:Using the information provided above, calculate the Order Quantity that must be placed now, at theend of the current review period, to achieve the required service level. Provide only the final answer(in units) after all calculations. Part B- EOQ with Quantity Discounts(Answer requires one final numerical result only: Optimal Order Quantity in units)A retailer regularly orders a specific item and must decide the optimal order quantity consideringquantity discounts offered by the supplier. The supplier's pricing schedule isas follows:Other relevant data:Annual demand D=12,000 unitsOrdering cost per order S=200Holding cost rate =20%of the unit purchase price per yearThe retailer wants to minimize the Total Annual Cost (TAC), which includes:Purchase Cost: D Unit PriceOrdering Cost: DQSHolding Cost: Q2H, where holding cost per unit H=0.20 Unit PriceTask:Compute the Economic Order Quantity (EOQ)at each price break, using:EOQ=2DSH2Verify if the EOQ fits within the corresponding price range. If the EOQ is outside the range,consider the minimum order quantity for that price range.Calculate the Total Annual Cost (TAC) for each feasible order quantity:TAC=D Unit Price +DQS+Q2HIdentify the optimal order quantity (Q*) Part C- Aggregate Production Planning Using Chase Strategy(Answer requires one final numerical result only: Total Cost over 6 months)A company manufactures a single product and forecasts demand for the next 6 months as follows:The company's production and cost data:Regular production c2ost: Part D-Fo