Problem $2-$ The local DMV office has an express service to serve customers applying for a new driver's license. In order to get a license, an applicant must pass three exams. The numbers of employees and the processing times for each of the three exams are shown in the table below. The office is open for eight hours per day, five days per week.

$\backslash$table$[[$Resource Group,$\backslash$table$[[$# of$],[$employees$]],\backslash$table$[[$Process time$],[($minutes$)]]],[$Eye Test,$1,3],[$Rules Test,$3,10],[$Road Test,$5,20]]$

Shours aday

$5$ days a med

$($a$)$ Find the weekly capacity for each resource group.

EyeTest capacity: $(1,5\mathrm{.}8*60)3=800$

Rulestest Capacity: $(3\mathrm{.}5\mathrm{.}8*60)10=720$

Road Test capacity: $(5*5*8*60)20=600$

$($b$)$ Assuming unlimited demand, what is the weekly process flow rate?

Praessflow inate is $600$ Customers dic to it being the

bottlenecce.

$($c$)$ If the customer demand is $500$ applicants per week, what will be the utilizations of each resource group?

Utilization $=$ Demand$/$Capacity

EyeTest$\frac{500}{800}**100=62\mathrm{.}5\%$

Rulestest$\frac{500}{720}+100=69,44\%$

RoudTest$\frac{500}{600}**100=83\mathrm{.}33\%$

$($d$)$ How long should it take for the process to handle $20$ applicants?

ubrace$(20**20$ubrace${)}_{\text{b}\text{o}\text{t}\text{t}\text{l}\text{e}\text{n}\text{e}\text{f}\text{e}}=400+$ubrace$(13$ubrace${)}_{\text{e}\text{y}\text{e}\text{t}\text{r}\text{u}\text{l}\text{e}\text{s}}=413m.n$

$400$ isregular bot firstopalicants. $\frac{4}{3}$n$.$

$($e$)$ Suppose that business picks up and the number of applicants increases to $700$ per week. What is the required takt time in order for them to keep up with demand?