Agan Interior Design provides home and office decorating assistance to its customers. In usual operations, an average of 2.5 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is that goal being met? If not, what action do you recommend? If the consultant can reduce the average time spent per customer to 8 minutes, what is the mean service rate? Will the service goal be met?

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15. Agan Interior Design provides home and office decorating assistance to its customers. In usual
operations, an average of 2.5 customers arrive each hour. One design consultant is available to
answer customer questions and make product recommendations. The consultant averages 10
minutes with each customer.
Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals
and exponential service times.
Service goals dictate that an arriving customer should not wait for service more than an average
of 5 minutes. Is that goal being met? If not, what action do you recommend?
If the consultant can reduce the average time spent per customer to 8 minutes, what is the
mean service rate? Will the service goal be met?
Transcribed Image Text:15. Agan Interior Design provides home and office decorating assistance to its customers. In usual operations, an average of 2.5 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is that goal being met? If not, what action do you recommend? If the consultant can reduce the average time spent per customer to 8 minutes, what is the mean service rate? Will the service goal be met?
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