Reference no: EM132305530
Herbie is a graduate student at the Smith School, and likes to grab a quick bite before his class. He has two favorite food-trucks: he could either go to “Alibaba’s Flying Carpet” or to “Dreams of DC”.
Herbie knows from his classmates that Alibaba’s receives a new customer every 4 minutes on average (coefficient of variation = 1) and on an average it takes 3 minutes (coefficient of variation = 1) for the food to be prepared. On the other hand, Dreams of DC receives 20 customers per hour on average (coefficient of variation of the inter-arrival time = 1) and on an average it takes 2 minutes (coefficient of variation = 1) for the food to be prepared. Both the trucks can serve at most one person at a time and the first arriving customer is served first.
What is the utilization of Alibaba’s?
What is the utilization of Dreams of DC?
Herbie does not want to wait longer than 10 minutes on average. Which truck allows him to achieve this average wait time of no more than 10 minutes?
How would your answer change if Herbie would like an average wait time of no more than 5 minutes?
How many people on average are waiting at Dreams of DC, INCLUDING the person who is being served? Choose the answer that is closest to the correct answer.
Over the next few months Herbie develops a close friendship with Jack, manager of Dreams of DC. Jack runs his food truck for eight hours every day. An average order is worth $4 and costs $1 in raw materials. The labor costs are $160 per day. What is Jack’s daily profit (revenues – costs) on average?