Please simulate and show the logical model construction stept by step on Arena Sofware: $5-7$ Develop a model of a three$-$workstation serial production line with high reject rates:

$7\%$ after each workstation. Parts rejected after the i rst workstation are sent to scrap. Parts

rejected after the second workstation are returned to the i rst workstation where they are

reworked, which requires a fresh $$draw$$ from the processing$-$time distribution but increased

by $50\%$ from the distribution of the original operation. $($This penalty factor of $1\mathrm{.}5$ applies

only at workstation $1$ and not at workstation $2$ when the part returns to it$.)$ Parts rejected at

the third workstation are returned to the second workstation where they are reworked, with a

$50\%$ penalty there $($but not on its revisit to workstation $3).$ The operation times are TRIA$(5,$

$9,12),$ TRIA$(5,8\mathrm{.}5,13),$ and TRIA$(6\mathrm{.}5,8\mathrm{.}9,12\mathrm{.}5)$ for workstations $1,2,$ and $3$ respectively

$($all times are in minutes$).$ Part interarrival times to the system are UNIF$(6,14).$ Run the

model for $20,000$ minutes, collecting statistics on the number in queue at each workstation,

the number of scrapped parts, workstation utilizations, and average and maximum cycle

times for parts that are not rejected at any workstation and for parts that are rejected at least

once. Also, collect statistics on the number of times a part was rejected.

$5-13$ An office of a state license bureau has two types of arrivals. Individuals inter$-$

ested in purchasing new plates are characterized to have interarrival times distributed as

EXPO$(6\mathrm{.}8)$ and service times as TRIA$(8\mathrm{.}8,13\mathrm{.}7,15\mathrm{.}2)$; all times are in minutes. Indi$-$

viduals who want to renew or apply for a new driver's license have interarrival times

distributed as EXPO$(8\mathrm{.}7)$ and service times as TRIA$(16\mathrm{.}7,20\mathrm{.}5,29\mathrm{.}2).$ The office has two

lines, one for each customer type. The office has five clerks: two devoted to plates $($Mary

and Kathy$),$ two devoted to licenses $($Sue and Jean$),$ and the team leader $($Neil$)$ who can

serve both customer types. Neil will serve the customer who has been waiting the longest.

Assume that all clerks are available all the time for the $8-$hour day. Note that when entities

from the front of multiple FIFO queues $($corresponding to multiple Process modules$)$ try

to seize the same Resource, the logic to select which entity "wins" is as though all the

queues were merged together into a single FIFO queue. Observe the system or cycle time

for both customer types over an $8-$hour day. Note that, since Neil is multi$-$talented, you'd

want to assign someone else to the next customer if you have a choice of which employee

to assign. For the output statistics requested, put a text box inside your Arena file.

$5-14$ The office described in Exercise $5-13$ is considering cross$-$training Kathy so she

can serve both customer types. Modify the model to represent this, and see what effect

this has on system time by customer. For the output statistics requested, put a text box

inside your Arena file.

$5-15$ Modify the model from Exercise $5-14$ to include $30-$minute lunch breaks for each

clerk. Start the first lunch break $180$ minutes into the day. Lunch breaks should follow

one after the other covering a $150-$minute time span during the middle of the day. The

breaks should be given in the following order: Mary, Sue, Neil, Kathy, and Jean. What

impact does this have on system time by customer? For the output statistics requested,

put a text box inside your Arena file.