$10.$ Develop a Simio model of the serial manufacturing system shown in Figure $5\mathrm{.}41.$ Assume that parts arrive to the system at the rate of $120$ per hour and that the arrivals are Poisson. The characteristics of each machine are given in Table $5\mathrm{.}10.$ Your model should include the following characteristics$/$features:

a$)$ Parts $($entities$)$ should move from machine to machine instantaneously $(0$ simulated time$).$

b$)$ Name the object instances in your model using meaningful names.

c$)$ Create a user$-$defined statistic that tracks the number of "reworks" in the system, where a "rework" is any part that has been reworked at least once $($i$.$e$.,$ it's entered S$1$ more than once$).$

d$)$ Create a status plot that displays $(1)$ the instantaneous number of entities in the system, $(2)$ the average number of entities in the system, and $(3)$ the instantaneous number of reworks in the system $($see above$).$ The time range for the plot should be $25$ hours.

e$)$ Develop an interesting animation for your model.

f$)$ Create an experiment with the following conditions:

$-$ Run length $-200$ hours;

$-$ Warmup $-50$ hours;

$-20$ replications.

g$)$ Create experiment responses for each of the following:

$-$ Average number of parts in the system;

$-$ Maximum number of reworks in the system;

$-$ Average time $($in minutes$)$ that parts spend in the system;

$-$ The utilization of S$4$;

$-$ The rate at which good parts are finished $($in parts per hour$)$;

$-$ The rate at which parts fall$-$out from S$3($in parts per hour$).$

Table $5\mathrm{.}8$: Processing time parameters for Problem $4.$