The lead time, that is the time between placing an order and the time the order is received, is randomly distributed between 1 day and 4 days with the probability distribution given in Table 2 below. Table 2: Lead Time Probability Distribution Lead Time (Days) Probability 0.25 0.30 0.35 0.10 (a) Given the random digits in Table 3 below, generate four random lead time values using the lead time probability distribution. Fill in the empty column of the table with these lead time values. This list of random lead times should be used one by one in the given order when this inventory system is simulated. Table 3: Random Lead Times Order Index Random Digits Lead Time (Days) 2nd DOO (b) Assume that the vendor has 60 candles at the beginning of the first simulated day and backorders are allowed (shortages will be met once enough units are available, therefore, it is possible to order more than the inventory holding capacity of 80 candles). Simulate this system for three cycles using the table below. In the "Shortage Quantity" column, report the cumulative shortage until the shortage is met by new units received. Random Digits Beginning Cycle Shortage Day Power Demand Ending Inventory for Demand Inventory Quantity 10 15 NO 20 NO NO 00000000 (c) Answer the following two questions based on the simulation above. 0 What is the average amount of shortage per day over the simulation periode ANSWER: :9 2 = (ii) What is the average number of units ordered (per cycle) ? ANSWER: y: 3 y= 70 20 | 80100 -10 20 30 40 50 60 10 -70 20 -80 30 40 50 60 110 120 130 140 210 220 230 240 40 50 60 70 150 160 170 180 250) 250 270 280 The lead time, that is the time between placing an order and the time the order is received, is randomly distributed between 1 day and 4 days with the probability distribution given in Table 2 below. Table 2: Lead Time Probability Distribution Lead Time (Days) Probability 0.25 0.30 0.35 0.10 (a) Given the random digits in Table 3 below, generate four random lead time values using the lead time probability distribution. Fill in the empty column of the table with these lead time values. This list of random lead times should be used one by one in the given order when this inventory system is simulated. Table 3: Random Lead Times Order Index Random Digits Lead Time (Days) 2nd DOO (b) Assume that the vendor has 60 candles at the beginning of the first simulated day and backorders are allowed (shortages will be met once enough units are available, therefore, it is possible to order more than the inventory holding capacity of 80 candles). Simulate this system for three cycles using the table below. In the "Shortage Quantity" column, report the cumulative shortage until the shortage is met by new units received. Random Digits Beginning Cycle Shortage Day Power Demand Ending Inventory for Demand Inventory Quantity 10 15 NO 20 NO NO 00000000 (c) Answer the following two questions based on the simulation above. 0 What is the average amount of shortage per day over the simulation periode ANSWER: :9 2 = (ii) What is the average number of units ordered (per cycle) ? ANSWER: y: 3 y= 70 20 | 80100 -10 20 30 40 50 60 10 -70 20 -80 30 40 50 60 110 120 130 140 210 220 230 240 40 50 60 70 150 160 170 180 250) 250 270 280