1. (10pts) Simulate an (s, S) inventory system with the following parameters: - Ordering cost: fixed cost $50,$5 per item - Holding cost: $1 per day per item - Backlog cost: $5 per day per item - Initial inventory: 18 - S=50,s=10. As a bricf review, (s,S) inventory system operates as follows - Demand is backlogged if not enough inventory to meet demand; - At the beginning of each day, if inventory level is strictly below s, order S - (current inventory) items to bring inventory back to S; else, do nothing. Simulate the (s, S) inventory system by completing the simulation table below. We start the simulation at clock =0 and stop the simulation when the simulation clock is equal to bigger than 2. You need to complete the last row. You may not need to fill all empty rows in the table. The first two rows are already completed for you. Below are the random numbers to be used. You may not need to use all random numbers provided to finish the simulation. You may want to cross out a number once you have used it so that you know which number you should use next. When an order delivery and demand arrive simultaneously, process the order delivery first and then deal with the demand in the next row. Do not forget you need to check inventory and decide whether to place a new order at t=1. Order delivery lead time (this is the time it will take the order to arrive once it is ordered): 0.8 , 0.9,0.7. Demand inter-arrival time: 0.3,0.4,0.1,0.6,0.5,0.7,0.3,0.2,0.1,0.5,0.5,0.2,0.1,0.3,0.5, 0.6,0.1. Notice the first two numbers (0.3,0.4) have already been used in completing the first two rows and you should continue with the third number (0.1) in the list. Demand sire: 2,5,4,3,5,2,3,2,2,4,1,4,3,4,1,4,1,4,3,4,1,4,1,4,3,4,1. Notice the first two numbers (2,5) have already been used in completing the first two rows and you should continue with the third number (4) in the list