Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of $2\mathrm{.}7$ 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.$)$

You may have reversed the order of division.

$w_q=1$

$w=1$

$p_w=$

$($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.$)$

$W_q(in$ minutes$)=,$min, which $is$

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

Increase the mean service rate.

There is no need to change the current operating parameters.

Increase the hours of operation.

Hire another consultant.

Decrease the mean service rate.

$($c$)$ If the consultant can reduce the average time spent per customer to $7$ minutes, what is the mean service rate? $($Round your answers to four decimal

places. Report time in hours.$)$

$=$

$L_q=$

$w_q=$

$$

than the desired wait time, so the goal

$=$

$L_q=$

$w_q=$

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

$W_q($in minutes$)=,$min, which is

than the desired wait time, so the goal

met.