The Howard County Hospital is assessing its Emergency Department $($ED$)$ capacity so it knows how to expand as the county population grows. The hospital has the following information about the ED:

Resource

Number

Nurses

$12$

Physicians

$5$

X$-$ray Technicians

$4$

Examination rooms

$10$

Trauma bays

$3$

On average, nurses need to spend $35$ minutes with each patient that comes in$.$ Additionally, physicians need to spend an average of $19$ minutes with each patient. Each technician can X$-$ray up to $5$ patients per hour. All patients have to go through one nurse, one physician and the X$-$ray.

$($In general, if a question asks for the capacity of a resource, it always implies the maximum number of flow units the resource can process in unit time when considered in isolation.$)$What is the total capacity of Nurses, as in the maximum number of patients the Nurses can see in one hour?