Answers wirh Explanation

Operations Planning and Control - 0PER1330 Waiting-Line: Queuing Assignment. Please submit your assignment by the end of the class. Student name: Question #1 You are the manager ofa construction company. You need to determine the system parameters related to the operation of your cement trucks. It takes a constant time of 7 minutes to fill a cement truck with cement. Once lled the truck goes to the assigned construction site to unload. Trucks arrive at a rate of6 per hour following a Poisson distribution. Determine each ofthe following... average # units/people in the system. average time spent in the system. length of the line. average time spent in queue. Utilization. probability of zero units in the system. Question #2 A Starbucks owner needs to have a better idea of the traffic pattern in her coffee shop. It is estimated that customers arrive at an average rate of 7'5 per hour, following a Poisson distribution. It takes an average of0.75 minutes to serve a customer. Service time is assumed to be exponentially distributed. Determine each ofthe following\". average # units/people in the system average time spent in the system length ofthe line average time spent in queue utilization probability of zero units in the system Question #3 You are responsible to staffa Covid19 testing facility. Customers (patients) arrive at a rate of 52 per hour for testing. Arrivals follow a Poisson arrival rate. It takes 3.0 minutes on average to get the patients information and administer the test, following exponential service times. The cost of each health care practitioner administering tests is $70 per hour, and the cost of having a customer (patient) wait is $100 per hour. Please answer the following... a) How many health care practitioners should be staffed