PA $16-13($Algo$)$ Larry Ellison starts a company that manufactures... Larry Ellison starts a company that manufactures high$-$end custom leather bags. He hires three 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 $\backslash (2\mathrm{.}1\backslash )$ days, with a standard deviation of $\backslash (2\mathrm{.}9\backslash )$ days. Larry expects to receive one customer order per day on average. The interarrival times of orders have a coefficient of variation of one. What is the expected duration, in days, between when an order is received and when production begins on the bag? Note: Carry at least $4$ decimal places in all intermediate calculations. Round your final answer to $2$ decimal places.