A community health system's nurse team consists of $12$ nurses working in the local community. It takes a nurse $1\mathrm{.}5$ hours to complete one patient visit $($including travel time and breaks$).$ Nurses work $9$ hours per workday.

Note: Round your Part a answer to the nearest whole number. Enter your Part $b$ answer as a percentage

rounded to the nearest whole number. Round your Part $c$ answer to one decimal place.

a$.$

What is the capacity of the nurse team over the course

visits per $9$ hour workday

of a $9-$hour workday?

b$.$

Assuming the demand for the nurses is $60$ patients per

percent day, what is the utilization of the nurse team?

c$.$

Assuming the demand for the nurses is $60$ patients per minutes per patient day, what is the cycle time?