uestion 2 Super Car Wash Inc. (SCWI) is analyzing some characteristics of its car-wash facility. It is located in a densely populated area and is experiencing long waiting lines during week-ends, causing loss of goodwill and frustrating among customers. Currently the supervisor manages a 3- bay operation where cars wait in a single line until singled to enter the next available service bay. During week-ends average inter-arrival rate is 4 minutes and the bays are operated by a team who takes 10 minutes to wash a car manually. Answer the following questions: a)Determine the expected length of line as well as the expected time it takes for a car to get cleaned. b)Determine the probability that an incoming customer does not have to wait for service. c)The owner of SCWI is considering another option which is to construct another bay, hire another team that will service the same existing line. Assume that the productivity of this team is the same as the other three existing teams. The cost of this option is $38,000 per year. What will be your recommendations if customers in line represent cost of $19,000 per year? Justify your conclusion with proper cost analysis.