What is the average throughput time for customer

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Jon has a new business for Coffee Making. Step 1 is automatic coffee beans grinding, which always takes exactly 150 seconds to process. After the Step-1, there is a Step-2 where grinded coffee beans are put in machine to extract coffee by drip process and it takes 200 seconds on average. About 50% of the customers chose the “special” Step-3 (after step-1 and 2), which involves putting cream, sugar, frothing and it, takes 5mins to complete. The Step-2 and Step-3 are performed by one person working on each station. John observes that for both these processes the service times are exponentially distributed (i.e. the standard deviation is the same as the mean). Weekdays demand is 10 customers arriving per hour, while weekends see about 16 customers coming in per hour. Assume that the arrivals are Poisson distributed for all stations (i.e. the standard deviation of inter-arrival times is the same as the mean).

a. What is the average throughput time (TPT) for customer during weekend?

b. Jon plans to start running Weekend promotion at discounted price. This is expected to boost step-3 by 50%, so that the total fraction of the customer base choosing it will be 75%. Assume demand remains the same; what will be the average TPT during weekends when the promotion is offered?

Reference no: EM132305599

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