There are currently $5$ docks at the UPS port facility and it takes $2\mathrm{.}9$ hours to process a truck. The facility operates $12$ hours a day $365$ days a year. During a year they expect $3800$ trucks. The current operational costs are $$52$K per dock per year. The waiting costs are estimated at $$70$ per day. UPS wants to determine if eliminating one dock will reduce or increase total costs. Answer the following.

Complete all calculations with at least $2$ decimal points. Please be sure to upload your notes$/$calculations after the exam.

What is the arrival rate per day?

What are the WCe when there are $5$ docks?

What are the RCe when there are $5$ docks?

What are the TCe when there are $4$ docks?

How many docks should UPS have to minimize total costs?