11. Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, 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.

a. Compute the operating characteristics of the customer waiting line, assuming Poissonarrivals and exponential service times.

b. Service goals dictate that an arriving customer should not wait for service more than anaverage of 5 minutes. Is this goal being met? If not, what action do you recommend?

c. If the consultant can reduce the average time spent per customer to 8 minutes, what isthe mean service rate? Will the service goal be met?