A large toy company Mttel currently allows toy retailers to place orders with a delivery lead time of 3 weeks. The Gigantic Pocket Monster (Gipokmon) is a new toy that Mttel has introduced. TOYS-are-MINE plans to uses the order-up-to model (with a fill-rate target of 98%) to plan orders and deliveries to their retailers. Given that this is a new toy, sales estimates are somewhat uncertain. The market research team is fairly confident that weekly demand would be normally distributed with a mean of 90 units. However, since this is a new product, demand uncertainty, as characterized by the standard deviation, is harder to estimate and could be either: standard deviation of 45; or standard deviation of 40 units; or standard deviation of 35 units. In order to budget working capital investment in inventories, you are required to provide an estimate of expected on-hand inventories for each level of uncertainty by completing the following table. Uncertainty Level z S* Exp. On-hand inventory =45 =40 =35