Weekly demand for a product is Normally distributed with mean 500 and standard deviation 100. This company observes inventory and places an order every week, but it takes 3 weeks to actually receive the order. This company is using an order-up-to policy for inventory replenishment. Currently, there are 150 units of inventory. How many units should this company order at this time to achieve 99.7% in-stock probability?

David paid $975,000 for two beachfront lots in coastal south carolina, with the intention of building residential homes on each. two years later, the south carolina legislature passed the beachfront management act, barring any further development of the coast, including david's lots. when david files a complaint to seek compensation for his property, south carolina refuses, pointing to a passage in david's own complaint that states "the beachfront management act [was] properly and validly designed to south carolina's " is south carolina required to compensate david under the takings clause?