Use the information below, to answer the questions that follow. Be sure to show
ID: 448941 • Letter: U
Question
Use the information below, to answer the questions that follow. Be sure to show your work in the space below the questions. GF 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 stutomer. Service goals dictate that an arriving customer should not wait for servie more than an average of five minutes. Is this goal being met? If not, what action do you recommend? If the consultant can reduce the average time spent per customer to eight minutes, what is the mean service rate? Will the service goal be met?Explanation / Answer
a. Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times.
0.297 at 7.14 minutes
b. Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met? If not, what action do you recommend?
No. Increase service rate or hire a second consultant.
c. 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?
7.5 customers/ hr , Lq =0.1677, Wq = 4 minutes. Yes, service goal will be met!
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