Part $1$:

You are asked to perform capacity analysis for a local clinic. The current resources of the clinic

are as follows:

You are also given the following information:

All patients need to register with the receptionist before they can see a nurse or a doctor.

The average time at the reception desk is $3$ minutes.

On average

$20\%$ of the incoming patients are considered to have only minor problems that can

be handled by nurses.

$50\%$ of patients see a primary care provider

$10\%$ of patients see a dermatologist

$15\%$ of patients see a diabetes care specialist

$5\%$ of patients see a nutritionist.

$15\%$ of all patients need to see the receptionist to schedule their next appointment after

seeing their nurse or doctor. The average time to do so is $5$ minutes.

The average appointment time with each provider is:

Nurse: $15$ minutes

Primary Care: $30$ minutes

Dermatology: $45$ minutes

Diabetes Care: $40$ minutes

Nutrition care: $30$ minutes

Assume that a typical workday is $10$ hours. Reception workers spend half of their time

checking$-$in patients and scheduling new appointments, nurses spend $25\%$ of their time

seeing patients, and primary care and specialty clinics spend all their time seeing patients.

For reception and nurses, their remaining time is spent on other tasks.

Assume $175$ patients arrive per day.

Based on the above information, answer the following questions:

What is the capacity of each resource in terms of number of patient arrivals$/$day$?(18$

points$)$

Which resource is the bottleneck? $(3$ points$)$

What is the total system capacity in terms of number of patient arrivals$/$day$?(3$ points$)$

What is the utilization of each resource? $(6$ points$)$

answer questions $1-4$ please thanks