1. For Joker Inc. estimate the followings, by simulation, the average number of lost sales per week for an inventory system that functions as follows: 
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3. (a) Whenever the inventory level falls to or below 10 units, an order is placed. Only one order can be outstanding at a time. 
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5. (b) The size of each order is equal to 20−I, where I am the inventory level when the order is placed. 
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7. (c) If a demand occurs during a period when the inventory level is zero, the sale is lost. 
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9. (d) Daily demand is normally distributed with a mean of 5 units and a standard deviation of 1.5 units. (Round off demands to the closest integer during the simulation and, if a negative value results, give it a demand of zero.) 
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11. (e) Lead time is distributed uniformly between zero and 5 days, integers only. 
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13. (f) The simulation will start with 18 units in inventory. 
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15. (g) For simplicity, assume that all demands occur at 12 noon and that all orders are placed at the same time. Assume further that orders are received at 5:00 P.M., or after the demand which occurred on that day. 
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17. (h) Let the simulation run for 4 weeks (a month). 
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19. (I) Find optimal values for reordering and order-up-to-point.