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

are as follows:

Resource Number of service

providers available

Reception $4$

Primary care provider $8$

Nurse $8$

Dermatology $2$

Diabetes care $2$

Nutrition care $1$

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

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

be handled by nurses.

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

o $10\%$ of patients see a dermatologist

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

o $5\%$ 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:

o Nurse: $15$ minutes

o Primary Care: $30$ minutes

o Dermatology: $45$ minutes

o Diabetes Care: $40$ minutes

o 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:

$1)$ What is the capacity of each resource in terms of number of patient arrivals$/$day$?(18$

points$)$

$2)$ Which resource is the bottleneck? $(3$ points$)$

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

$4)$ What is the utilization of each resource? $(6$ points$)$

MGMT $346$: Sections $04$ and $05$ Homework $1$

Fall $2024$ Due: $9/20/2411$:$59$ pm

$2$

$5)$ The clinic is planning to hire an additional worker for the bottleneck resource.

a$.$ What is new utilization of this resource? $(3$ points$)$

b$.$ What is the new system capacity? $(3$ points$)$

$6)$ Instead of hiring a new employee for the bottleneck resource, what is another way to

increase the system capacity? Be creative: You make reasonable assumptions about the

work that each type of provider can perform $($for example, nurses could schedule

appointments$).(4$ points$)$