inventory management question please help ASAP ASAP ASAP will rate the answer

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Fantastic Inc. sells a fantastic bottled drink. The product costs 10TL per unit. Cost of ordering is 50TL per order. The company uses a 20% annual interest rate to compute the inventory carrying charge. Their supplier's order lead time is 4 weeks. The weekly demand for the product has normal distribution with mean 50 and standard deviation of 10 (units). There are 52 weeks in a year. The company can monitor its order status continuously. You can use this Z-Loss table. a) (10 pts) Assume that the company uses a Type-1 service level objective of 90%. Find the: optimal order quantity, reorder level, safety stock level, time between orders (in WEEKS), imputed shortage cost. b) (10 pts) Assume that the company uses a Type-2 service level objective of 99%. (You can use EOQ order quantity assumption). Find the: reorder level, imputed shortage cost, proportion of cycles with no stockouts, c) (15 pts) Assume that if the product is demanded when the warehouse is out of stock, the demand is backordered. The cost for backordered demand is 2 TL/unit. Find the: optimal order quantity, reorder level, proportion of cycles with no stockouts, proportion of demand met from stock