the number of people treated in a hospital because of a deadly disease grows by 5% each day. 1% of the patients die every day but 2% of the patients recover and are discharged every day. in order to make sure the hospital doesnt pass its 200 beds max capacity, the hosputal reloactes one patient every day to a different hospital. there are currently 127 patients admitted. and one can assume that the hospital only treats patients with this disease.

a) write a model that gives the nimber of patients in the hospital every day

b) approx how many patients will there be in 2 days

c) is the hospital at risk for passing its capacity (use appropriate limit)

d) how would one recommend the hospital administration to modify their strategy?