# The number of expectant mothers attending Rubaga hospital antenatal services has grown…

The number of expectant mothers attending Rubaga hospital antenatal services has grown tremendously. The antenatal clinic is held only once a week that is every Tuesday afternoon and the mothers arrive every 20 minutes. The clinic has only 1 doctor, one nurse and one lab technician. This implies that one mother can be attended to by each of the staff at a time. All mothers must first have temperature, weight and blood pressure measured (takes 10 minutes) before proceeding to have lab tests which are completed within 25 minutes. After the tests the mothers are then able to see the doctor (10 minutes) before proceeding to the pharmacy for the medication.
Assume that the first mother arrives at 1.10pm. At 5.00pm the clinic closes the door and does not allow new mothers to enter the clinic but only completes reviews on those already in the process.
Create a table showing arrival, departure, service and waiting times. How many mothers are examined by the clinic during that afternoon session ?Use the average waiting time and maximum waiting time to advise managementon how to improve the antenatal service clinic.
2.For simplicity assume that Walusimbi Service Garage repairs BMW vehicles which arrive every 10 minutes. There are three service bays at the garage, each with its own mechanic. All vehicles get an oil change for 20,000/= which takes 10 minutes and a tune-up for 55,000/= which takes 15 minutes to do. All vehicles get a new air filter which takes 5 minutes and costs 30,000. All vehicles get a brake inspection, which is free but takes 10 minutes to carry out. All the vehicles are fitted with spark plugs costing 40,000/= and takes 10 minutes to fit. All cars have a full brake service which takes 20 minutes to complete and costs 75,000/=. Perform a hand simulation for the garage for a three hour morning session (9.00am  12.00pm). Assume that the first vehicle arrives at 8.00am. At 12.05 the garage does not start work on a new vehicle but only completes work on those vehicles that are already in the process. Create a table showing arrival, departure, service and waiting times.How many vehicles are serviced by the garage in the morning session ?How much money is made by the garage in the morning session?At what time should the garage stop vehicles from joining the queue ?Use the average waiting time and maximum waiting time to advise managementon how to improve the service at the garage.