You have just been hired to manage inventory for a sock company, "Sock-um." The company seems to be running out of inventory space. On day one of your job, you have been asked to determine average daily inventory. Every Monday, Sock-um receives a shipment of 500 cases of socks. Sock-um sells socks to retail outlets along the East Coast at a rate of 90 cases per day during each of the 5 business days (Monday through Friday). In your memo, please provide a model that represents daily inventory and provide your answer of average daily inventory. In your worksheets, demonstrate your knowledge of integrals and show how you can double check your answer through manual calculations.