Suppose you operate a store. The weekly average demand for an item sold in your store is 20 units. Your upstream supplier charges $100 for each item sold to you. The annual holding cost is 20% of the item cost. It costs $160 to place an order. The lead time is 1 week and your store operates 50 weeks per year. Question 1 2 pts What is the optimal order quantity Report an integer. Scenario (a) Now suppose you want to achieve a 95% service level during the lead time, and the weekly demand is normally distributed with a mean of 20 units and a standard deviation of 10 units. Answer the following three questions. Question 2 2 pts What is the safety stock level? Report an integer. D Question 3 2 pts What will be your reorder point? Report an integer Question 4 2 pts What will be the average inventory level at your store if you pay the supplier when you place the order. Report an integer Scenario (b) Now suppose you want to achieve a 95% service level during the lead time, and the distribution of weekly demand is listed in the following table. Answer the following two questions. Number of units Probability 15 16 17 18 19 20 21 22 23 24 25 0.01 0.03 0.08 0.1 0.18 0.26 0.14 0.07 0.05 0.04 0.04 Question 5 2 pts What will be your reorder point? Report an integer. Question 6 What will be the safety stock level? Report an integer