A fast$-$food delivery store$/$service accepts orders from customers continuously $($operating $24/7)$

with interarrival times following an exponential distribution with a mean of $5\mathrm{.}2($all times given

are in minutes$).$ When an order is placed, it is first analyzed and the proper food preparation is

determined, a process whose service time follows a triangular distribution with parameters $3,5\mathrm{.}5,$

$7.$ The order is then sent to one of $3$ cooking preparation servers $($probability $0\mathrm{.}95)$ or sent to a noncooking server $($probability $0\mathrm{.}05).$ The cooking preparation servers are servers who prepare food

that needs to be cooked for the order, with service time following a triangular distribution with

parameters $4,6,7\mathrm{.}1.$ The non$-$cooking server deals with orders that do not require cooking $($maybe

the customer only ordered ice cream$),$ and has a service time following a triangular distribution

with parameters $3,8,$ and $12.$ After being prepared by either type of server, the food is then sent to

be packed and prepared to delivery, a process with a service time following a triangular distribution

with parameters $2,3,$ and $3\mathrm{.}7.$ Then the packaged food leaves the system as it is sent to be delivered

to the customer.

The non$-$cooking server only handles $1$ order at a time. The three cooking preparation servers can

be considered as one station with a capacity of three $($i$.$e$.,$ use one Server object to model all three

cooking servers$).$

Let$$s assume that movement time between stations is negligible.

$($i$)$ Run a simulation of $14$ round$-$the$-$clock $24-$hour days for $50$ replications and observe

the average total time in system of orders, as well as the throughput of the fast$-$food

store $($number of orders that leave the center to be delivered over the $14$ days$).$

$($ii$)$ If you could afford to add resources, where is the need most pressing? Evaluate those

scenarios and compare the results with that from the baseline model.

$($iii$)$ Add appropriate animation to your model.

Note: replication length is $14$ days, i$.$e$.,$ each replication lasts for $14$ days. You are asked to run

the simulation model for $50$ replications.