2. (40 pts) The Howard County Hospital is assessing its Emergency Department (ED) capacity so it knows how to expand as the county population grows. The hospital has the following information about the ED: Resource Number Nurses 12 Physicians 5 X-ray Technicians 4 10 3 Examination rooms Trauma bays On average, nurses need to spend 35 minutes with each patient that comes in. Additionally, physicians need to spend an average of 19 minutes with each patient. Each technician can X-ray up to 5 patients per hour. Unfortunately, 20% of all patients that come into the ED are trauma victims that need to be placed in a trauma bay. The other 80% of the patients go into normal examination rooms. Each trauma patient spends an average of 30 minutes in a trauma bay before leaving the ED (usually then being admitted to the main part of the hospital), whereas non-trauma patients spend an average of 45 minutes in an examination room before leaving the ED. If the hospital wants to expand capacity, each resource must be added in whole unit increments. Display all of your answers to one decimal place. (a) What is the capacity of each resource in patient arrivals per hour (20 pts)? (b) What is the system capacity in patient arrivals per hour (5 pts)? Which resource(s) is (are) the bottleneck (5 pts)? (c) How can the ED increase its capacity to be able to serve 16 patients per hour (10 pts)?