Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of $2\mathrm{.}2$ 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 Poisson arrivals and exponential service times. $($Round your answers to four decimal places. Report time in hours.$)$

$=$

$=$

Lq $=$

L $=$

Wq $=$

h

W $=$

h

Pw $=$

$($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? $($Round your answer to one decimal place.$)$

Wq $($in minutes$)=$

min, which is

$---$Select$---$

than the desired wait time, so the goal

$---$Select$---$

met.

What action do you recommend? $($Select all that apply.$)$

Hire another consultant.

There is no need to change the current operating parameters.

Increase the hours of operation.

Increase the mean service rate.

Decrease the mean service rate.

$($c$)$

If the consultant can reduce the average time spent per customer to $8$ minutes, what is the mean service rate? $($Round your answers to four decimal places. Report time in hours.$)$

$=$

Lq $=$

Wq $=$

h

Will the service goal be met? $($Round your answer to one decimal place.$)$

Wq $($in minutes$)=$

min, which is

$---$Select$---$

than the desired wait time, so the goal

$---$Select$---$

met.