QUESTION $7$: Now that you$$ve identified a major problem with available beds for patients to be transferred from ED to the main hospital, your team begins working with the main hospital staff to find possible solutions. Keep in mind that the hospital database shows when patients have been released from the hospital, but patient rooms must be cleaned by housekeeping before they can be assigned to a new patient. Is the problem that housekeeping is unable to keep up with patient demand for rooms? Housekeeping time studies show that housekeeping can clean $4$ rooms per hour under their current system. ED records indicate that they average $2\mathrm{.}3$ patients every $2$ hours who need to be transferred to beds in the main hospital to free up space for new ED patients. How often will housekeeping be able to keep up with the demand for bed space?