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

Resource No.	Resource Name	Number of service providers available
1	Reception	4
2	Primary care provider	8
3	Nurse	12
4	Dermatology	1
5	Diabetes care	2

You are also given the following information:

• All patients need to register with the receptionist before they can see a nurse/doctor. The average waiting 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. The remaining 80% are given appointments to see a primary care provider.

• The average consultation time with a nurse is 15 minutes. After diagnosis by a nurse, 25% of the patients are asked to see a primary care provider for further diagnosis.

• An appointment with a primary care provider lasts 30 minutes, on average. After check up by a primary care provider, 10% of the patients are referred to a dermatologist, 15% are referred to the diabetes care center, and the rest 75% either don’t need further referral or are referred to an outside hospital.

• The average consultation time with the dermatologist is 45 minutes.

• It takes 40 minutes, on average, for diagnosis at the diabetes care center.

• Assume that a typical work day is 10 hours.

Based on the above information, answer the following questions.

a. What is the capacity of each resource in terms of number of patient arrivals/day? Which resource is the bottleneck? What is the total system capacity in terms of number of patient arrivals/day?

b. The clinic is planning to hire 2 additional units for the bottleneck resource. How will this impact the system capacity? What resource is the new bottleneck?

a.

The total capacity for resource 1 (i.e., the reception) is patient arrivals/day.

The total capacity for resource 2 (i.e., primary care providers) is patient arrivals/day.

The total capacity for resource 3 (i.e., nurses) is patient arrivals/day.

The total capacity for resource 4 (i.e., dermatology clinic) is patient arrivals/day.

The total capacity for resource 5 (i.e., diabetes care center) is patient arrivals/day.

Among the above 5 resources, resource is the bottleneck. (Please input a resource number here, e.g., 1, 2, 3).

The total system capacity is patient arrivals/day.

b.

The two additional units are added to resource (Please input a resource number here, e.g., 1, 2, 3).

The new total system capacity is patient arrivals/day.

The new bottleneck is resource (Please input a resource number here, e.g., 1, 2, 3).