Problem 2 (12 points): Suppose that a manager is following a base stock policy where the optimal inventory position is 10. Assume the component lead time is 2 days. At the end of day 1, there is no ordered units yet to be received and no backlog. 1. (3 points) How many units does the manager have on hand at the end of day 1? 2. (3 points) If 8 units of demand arrive on day 2, how many units need to be ordered? 3. (3 points) If another 6 units of demand arrive on day 3, will there be any on-hand inventory or backlog? If so, how many units? 4. (3 points) If on days 4 and 5, demand arrived are 3 and 7 units respectively, then on which day(s) will the inventory position be positive before new order is placed? Problem 2 (12 points): Suppose that a manager is following a base stock policy where the optimal inventory position is 10. Assume the component lead time is 2 days. At the end of day 1, there is no ordered units yet to be received and no backlog. 1. (3 points) How many units does the manager have on hand at the end of day 1? 2. (3 points) If 8 units of demand arrive on day 2, how many units need to be ordered? 3. (3 points) If another 6 units of demand arrive on day 3, will there be any on-hand inventory or backlog? If so, how many units? 4. (3 points) If on days 4 and 5, demand arrived are 3 and 7 units respectively, then on which day(s) will the inventory position be positive before new order is placed