Supersonic Care isa clinic that provides initial medical treatment to patients in Chapel Hill. There are two types of patients: (1) 50% of incoming patients are "complex patients" who have complex healthcare needs. (2) 50% of incoming patients are "simple patients" who have simple healthcare needs. You are in a team of consultants that was hired to analyze the clinic capacity.The team has gathered the following information.

• There are three types of resources: Receptionists, Nurses, and Doctors.
• First, all incoming patients fill out a medical information form in the reception area. Patients often require assistance in filling out the paperwork. There are 2 receptionists in this area. A receptionist spends an average of 4 minutes in assisting a patient, regardless of the type of the patient.
• After filling out the paperwork, all patients are seen by a nurse for an initial examination. The initial examination of a patient takes 27 minutes on average, regardless of the type of the patient. There are 3 nurses who perform the initial examination in parallel.
• After seen by a nurse, all patients are seen by a doctor. On average, a doctor spends 20 minutes with a complex patient, and 10 minutes with a simple patient. There is one doctor in the clinic.
• The clinic is open for 9 hours in a day.

a) What is the process capacity in terms of number of incoming patients per day?Please provide details of your calculations to receive credit from this part.

b) [Operations & Marketing Interface]The clinic currently serves an average of 30 incoming patients per day. The clinic aims to attract more patients by advertising. After advertising, the average demand for the clinic is expected to be 40 patients per day, and 75% of the incoming patients are expected to be complex while the remaining 25% of incoming patients are expected to be simple.

i) After advertising, what is the new process capacity in terms of number of incoming patients per day? Please include your calculations.

ii) How would you decide whether the clinic should put effort in advertising or not? Do you think the clinic should spend money in advertising? Please explain your rationale.