need a done please

"Behind the Glass" is a small boutique shop that sells fashionable women clothes. The shop currently is using a fixed period inventory control system. A staff checks the inventory of an item once every 15 days. A particular women winter dress is priced at $120 per unit. The annual holding cost per unit is 10% of product price. The daily demand for the dress follows a normal distribution with a mean of is 10 units and standard deviation of 2 units. When the shop purchases a new order of the dress, it takes 3 days for the supplier to fulfill and ship the order to Behind the Glass. Please answer the following questions. You may either input the answers in the response box below or write your answers down on a paper, scan it, and upload it to Tlearn. If you choose to upload your answers, please kindly convert your answer sheet into a PDF file. You may either use Scan Genius or Microsoft Office Lens to do the conversion. Please provide detailed calculation steps so that I may give your partial credits if your final results are wrong. a. What the target inventory level of the winner dress if the shop would like to tolerate 1% chance of having stock-out problems? (6 poilts) b. What is the safety stock annual holding cost when using the fixed period inventory control system? Assume the shop would like to tolerate 1% chance of having stock-out problems. (6 points) c. To save money, the owner of the shop is thinking about switching to a fixed quantity inventory control system. What is the safety stock annual holding cost when using the fixed quantity inventory control system? Assume the shop would like to tolerate 1% chance of having stock-out problems.(6 points) d. In order to use the fixed quantity inventory system, the shop needs to lease an inventory information system from a vendor, at the cost of $2,000 per year. Is it worth switching to the fixed quantity inventory control system? Perform relevant calculations to justify. Assume the shop would like to tolerate 1% chance of having stock-out problems. (6 points)