Handsome Dan Furniture is a furniture retailer located in Los Angeles. For the Spring/Summer collection, the team at Handsome Dan is looking to sell the "Bruin Sofa". It retails for $500, and they purchase it for $300 from their supplier. The discounted price at the end of the season is $250. They expect to sell 50 units, but assume a standard deviation of 10 units, normally distributed. Handsome Dan Furniture sometimes stocks out of an item before the end of the season. In this case, if a customer wants to buy a sofa model when they are out of stock, the Handsome Dan team have arranged to place an order from their supplier for the unit. The customer typically needs to wait 4 to 6 weeks for delivery in this case. While Handsome Dan charges the customer the same price, the supplier charges Handsome Dan $350 for the Bruin Sofa for the late season order