Evian Jeans sells fashionable jeans through the fashion boutique Forever 29. They have an estimate of the sales of their new design, demand for the jeans for this season is expected to be normally distributed with a mean of 903 sales and a standard deviation of 376. Each pair of jeans cost Evian Jeans $20 to make. Forever 29 buys the coats from Evian Jeans for $80, then turns around and sells them for $160. Whatever jeans do not get sold, either by the supplier or the manufacturer, are placed on clearance for $10 each. To reduce the costs of managing their inventory, Forever 29 goes to a consignment system, where Evian Jeans makes all inventory decisions, and is responsible for all decisions. Evian Jeans will determine how many jeans to order and stock in Forever 29's stores. All prices, including those between Evian Jeans and Forever 29, remain the same, any stock that is not sold is placed on clearance for $10, which Evian Jeans receives. Given that Evian Jeans will make the decision as to how many jeans are manufactured and ordered under this system, how many jeans should Evian Jeans make and stock in Forever 29 stores in order to maximize Evian Jeans' profits?