THE QUESTION HAS DIFFERENT VARIABLES THAN THOSE THAT ARE ON CHEGG!! So please make sure you answer the question according to the attached page's variables. Please also answer ALL PARTS OF the question IN DETAILS. :) Thank you

2. The annual demand for a product is 5300 units. The weekly demand is 100 units with a standard deviation of 20 units. The cost to place an order is $30, and the time from ordering to receipt is 2 months. The annual inventory carrying cost is $0.1 per unit per week. a. Assuming that each month has 4 weeks, what is the distribution of demand during lead time? (5 points) b. Find the optimal order quantity, safety stock and also reorder point necessary to provide a 95% service probability? (9 points)