$(2)$ Consider the depicted process $($a simplified version$)$ that the Federal agency follows to approve

visa for an applicant$/$immigrant seeking authorization to work.

The manager plans to dig deep to understand the entire process. By interviewing employees,

following information is collected:

It takes $2\mathrm{.}5$ hours to screen and evaluate an application. The screening and evaluation department

has $6$ employees. The processing department has two employees, who each prepares permits in

batches of $10,$ wherein the setup time required by the computer system is $20$ minutes and it takes

$28$ minutes per permit. $($Assume $8$ hours in a working day.$)$ Show your calculations for each

answer.

$(2-$a$)$ What is the bottleneck of this process?

$(2-$b$)$ What is the capacity of the process $($units: applications per day$)?$

$(2-$c$)$ What is the utilization of the: $($i$)$ bottleneck step; $($ii$)$ non$-$bottleneck step?

The manager is not pleased with the long duration of time that the facility takes to completely

process an application.

$(2-$d$)$ Choose one process intervention that best improves the processing capacity of this facility.

a$.$ Adding another employee at the screening and evaluation step

b$.$ Improving the technology to cut down the process time to $87\mathrm{.}5$ minutes

c$.$ Perform processing and preparation step in batches of $20($new setup time $=30$ minutes$)$

d$.$ Invest in technology to reduce preparation time per unit from $28$ minutes to $20$ minutes

$(3)$ Students arrive at Administrative Services Office at an average of one every $15$ minutes, and

their requests take on average $10$ minutes to be processed. The service encounter is staffed by only

one clerk, Judy Gumshoes, who works eight hours per day. Assume exponential inter$-$arrival and

service times. Show your calculations.

a$.$ What percentage of time is Judy idle?

b$.$ How much time, on average, does a student spend waiting in line?

c$.$ How much is the $($waiting$)$ line on average?