In a warehouse distribution center, there is a two$-$step order fulfillment process. Customer orders arrive at the center with an exponential interarrival$-$time distribution, where the mean interarrival time is $10$ minutes. The first order arrives at time $0.$ Each order then goes through a picking operation, where items are selected from the inventory shelves. The picking operation time follows a triangular distribution, with a parameters $($minimum time of $1$ minute, a most likely time of $4\mathrm{.}5$ minutes, and a maximum time of $7$ minutes$).$ There is only one picking resource available $($call it Order$-$picker$)$

After the picking operation, the orders are moved to a packing area, where they are prepared for shipment. During the packing process, the orders are inspected, packaged, and prepared for transportation. The packing operation time follows a uniform distribution, with a parameter of $(4,9)$ in minutes. There is only one packing resource available $($call it Order$-$packer$)$

Once the orders are packed, they are ready for shipment. The packed orders are then sent to the shipping department, where they are labeled, loaded onto trucks, and dispatched for delivery. The shipping process is done via automatic machine that label the orders and load them on the trucks. There is only one shipping resource available $($call it Automatic shipping machine$)$ and it takes fixed time $($constant$)$ of $15$ minutes for each order.

Model the above problem on Arena, run it for $5$ days, $8-$ hours per day, $30$ replications and

Answer the following questions: