construction site has three entrances. All deliveries are made through these three gates. Being tuated in an urban environment, the site manager wants to minimize queues on the street. eliveries are made by truck at a rate of 16 per day, following a Poisson distribution. A workday onsists of one 8-hour shift. The site manager assigns a crew of three workers at each entrance to inload trucks. The crew of three workers can unload a truck in exactly 45 minutes. a) Calculate the Txp ected number of trucks in the queue and the expected waiting time of a truck in the queue. b) How is the queue compared to (a) if one of the entrances is no longer available? In order to justify your answer, calculate the expected number of trucks in the queue and the expected waiting time of a truck in the queue, and then compare the results with the answers in (a). c) Can one reduce queues on the street by assigning crews of four workers (rather than only three) who can unload a truck in 35 minutes (rather than 45 minutes) at each of the three gates? In order to justify your answer, calculate the expected number of trucks in the queue and the expected waiting time of a truck in the queuc, and then compare the results with the answers in (a). QUESTION 2 Repeat Question 1, assuming that the service rate follows the exponential distribution. Compare the results with question 1 and comment on the system's performance