1a is 13.33

1b is 72.02%

 

 

 

2a is 63.2%

 

2b is 1.085

 

 

 

Please just solve question 3 

  

PROBLEMS 1. Cars and trucks arrive at Sparkle Auto Wash, a single-channel service facility, at a mean ing asking customers what level of wash they want and collecting payment) with the cur rate of 9.60 per hour. The service takes an average of 4.5 minutes per vehicle (includ rent equipment, staffing level, and operating procedures. The interarrival times and service times are distributed according to a negative exponential distribution. a. What is the utilization of the facility? b. What is the average number of vehicles in line waiting to get into the service area? to more 2. The owners of Sparkle Auto Wash do not have room to expand the facility than one channel, but they can reset the speed at which vehicles are pulled along the automated track through the car wash so that service can be completed in a mean time of 3.95 minutes. Make the same computation as in problem 1 to see the speed will significantly change the system's performance. if f resetting 3. The owners of Sparkle Auto Wash believe that they can reduce the mean time even further by training employees to be more efficient at determining which level of wash customers want, collecting payment, and starting the automatic track. Their goal is to reduce service time to 3.0 minutes. Using this service time, recompute the values you found in problems 1 and 2, and compare the results. in window. The customer arrival rate is