Concord Clinic's directors are budgeting for administrative staff for next year. They need to plan for enough capacity to handle patients in the clinic's three practice areas: urgent care, general practice, and laboratory. The administrative staff can fluctuate between areas, but they are primarily assigned to one of these stations. There are $32$ staff members total, $27$ working full$-$time and $5$ working $30$ hours per week. Each staff member works $50$ weeks each year.

Last year, total DL cost $($including benefits$)$ for all administrative staff amounted to $$1\mathrm{.}6$ million. The administrators expected $80\%$ of their staff's available time to be dedicated to the key tasks of their job. The time estimates for the key tasks are as follows.

$\backslash$table$[[,$Minutes$],[$Urgent care check$-$in$,10],[$General practice check$-$in$,5],[$Laboratory procedure processing,$5]]$

$($a$)$

Your answer is correct.

Calculate the total theoretical capacity of the administrative staff, as well as its practical capacity for completing tasks.

Then calculate the cost per hour and the cost per minute for their available time. $($Round answers to $2$ decimal places, eg$.15\mathrm{.}25.)$

$($b$)$

Calculate the administrative cost assigned to each of the key standard transactions listed above. $($Round answer to $2$ decimal places, eg$.15\mathrm{.}25.)$

Urgent care check$-$in

General practice check$-$in

Laboratory procedure processing