arry Ellison starts a company that manufactuers high end custom leather bags. He hires $4$ employees. Each employee only begins working on a bag when a customer order has been received and then she makes the bag from beginning to end. The average production time of a bag is $3$ days with a standard deviation of $6$ days. Larry expects to receive one customer order per day on average. The inter$-$arrival times of orders have a coefficient of variation of $1.$ What is the expected duration, in days in days, between when an order is received and when production begins on the bag $($including the time waiting to start production but do not include the time in production$)?$