kolkmeyer manufacturing company is considering adding two machines to uts manufacting operations. the addition will bring the number of machines to nine. the president of kolkmeyer asked for a study of the need to add a second employee to the repair operation. the arrival rate is $0\mathrm{.}06$ machines per hour for each machine, and the service rate for each individual assigned to the repair operation is $0\mathrm{.}5$ machines per hour.

$($a$)$ compute the operating characteristics if the company retains the single employee repair operation.

$($b$)$ compute the operating characteristics if a second employee is added to the machine repair operation.

$($c$)$ each employee is paid $$20$ per hour. machine downtime is valued at $$70$ per hour. from an economic point of view, should one or two employees handle the machine repair operation?