A company has tool cribs where workers draw parts. Two workers have applied for the position of distributing parts to the other workers. Adriana

is fresh out of trade school and expects $$5$ per hour. Her average service time is four minutes. Braxton is a veteran who expects $$13$ per hour.

His average service time is two minutes. A worker's time is figured at $$13$ per hour. Workers arrive to draw parts at an average rate of $11$ per

hour.

$($a$)$ What is the average time a worker would spend in the system under each applicant? $($Give your answers in minutes. Round your answers

to three decimal places.$)$

Under Adriana, a worker would spend

minutes on average in the system. Under Braxton, a worker would spend

minutes on average in the system.

$($b$)$ Which applicant should be hired? $($Give your answers in dollars per hour. Round your answers to two decimal places.$)$

The total cost under Adriana would be $

per hour, and the total cost under Braxton would be $

per hour.

Taking this and the average waiting times into account,

should be hired.