A few points that you may find useful
A) any hospital running above 90% bed capacity is going to be in trouble because bed pressures affect the efficiency of infection control measures. You need time to ensure a bed goes out of numbers the bed space is cleaned and made ready for the next occupant. If the previous patient had an infection like resistant MRSA, norovirus, etc that bed will be out of circulation for a number of hours as specialist cleaning measures are required
2). The tradition of a bed being left empty after a death had gone by the time I hung up my uniform. it was previously the case a bed would not be filled for some hours as a mark of respect. Now the bed barely goes cold and staff are encouraged to process the body with far more haste. Bed managers will be hovering with a name of someone waiting. This negatively affects staff who may need time to process a loss especially if the patient was long term or there were other difficult circumstances.
That's why you need a little slack in the system, as far as I am able to determine many wards now operate at worse than 95% occupancy and higher still with sometimes ward official capacity going over with patients waiting on the ward prior to the patients leaving who are being discharged.