Problem 1 (9 points): Consider a base stock policy with the base stock level set at 15. 1. (4 points) At some time t, after serving customers with all available com- ponents, the system still has a backlog of 7. There are 22 units in the pipeline. Does the manager need to place an order at t? Why? 2. (5 points) Separate from question 1, suppose that at time t, there are 8 new customer arrivals and 5 units of previously-ordered item are received. Under the aforementioned base stock level, what is the pre-order inventory position, and how many units need to be ordered at t? Problem 1 (9 points): Consider a base stock policy with the base stock level set at 15. 1. (4 points) At some time t, after serving customers with all available com- ponents, the system still has a backlog of 7. There are 22 units in the pipeline. Does the manager need to place an order at t? Why? 2. (5 points) Separate from question 1, suppose that at time t, there are 8 new customer arrivals and 5 units of previously-ordered item are received. Under the aforementioned base stock level, what is the pre-order inventory position, and how many units need to be ordered at t