Mathematics Homework Help

Show steps for all problems. Attach the original Excel files, including the answer report and the sensitivity report for the LP models, and time series forecasting files.

All airport passengers at the Capital City Airport must pass through a security screening area before proceeding to the boarding area. The airport has three screening stations available, and the facility managers must decide how many to open at any particular time. The average time for processing one passenger at each screening station is 0.5 minutes. On a Saturday morning, the arrival rate is 3passengers per minute. Assume that processing times at each screening station follow an exponential distribution and those arrivals following a Poisson distribution. Suppose two of the three screening stations are open on Saturday morning. Compute the following operating characteristics (show steps).

a.The probability a passenger will have to wait. b.The average number of passengers that will be waiting for security screening. c.The average time a passenger waits in line. d.The average time required a passenger to pass through security screening.