Students must have their schedule approved by an academic advisor. It takes the advisor

an average of $6$ minutes to approve a schedule, and students arrive at the advisor$$s

office at a rate of $7$ per hour. The time to approve a schedule is the time it takes the server

to interact with the customer $($the service time$).$

$1.$ What is the advisor$$s service rate? Note: you must answer this

question before the rest of part $1$ can be answered.

$2.$ How many minutes per hour does the advisor have to handle

other tasks $($not approving student schedules$)?$

$3.$ What is the average time a student spends at the office $($in line

or meeting with the advisor$)?$

$4.$ The advisor wants the average time a student must spend at

the office to be no more than $15$ minutes. To achieve this, the

advisor$$s service rate must be at least $\_\_\_\_\_$ students$/$hour$.$

Assume the arrival rate does not change.