The Robot Company owns car wash stations throughout the United States. Robot sta
ID: 457386 • Letter: T
Question
The Robot Company owns car wash stations throughout the United States. Robot stays open 14 hours per day. Robot has a power unit that can wash cars at the rate of one every 5 minutes on average. The company estimates that customers will not wait in line more than 5 minutes for a car wash. A longer time will cause Robot to lose car wash sale. If the estimate of customer arrivals resulting in washes is 10 per hour, how many lost sales does Robot have each day? Assuming customer interarrival time and service time both follow exponential distribution.
Explanation / Answer
Average number of customers waiting in line per hour = 2/((-) ) = 102/(12*(12-10)) = 4.17 per hour
Lost sales per day = Total number of customers waiting in a day (14 hours ) = 4.17*14 = 58.3 customers per day
Arrival rate = 10 per hour Service rate = 12 per hourRelated Questions
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