In the Atlanta Metropolitan Area (which, for this question, we assume has 5 million people), 0.5% of the population are tested every day for Covid-19.
For 80% of patients, the test is negative (i.e., they do not have the virus).
For the remaining 20% of patients who do have the virus:
60% do not need to be hospitalized and recover from their symptoms at home.
40% of patients are admitted to the hospital.
Of the 40% of patients who are hospitalized:
90% do not need to be admitted to intensive care (ICU) and recover in a regular hospital bed.
10% of patients will require ICU admission after first spending 4 days, on average, in a regular hospital bed.
If a patient is admitted to the hospital but not to the ICU, they spend 14 days in the hospital on average.
If a patient is admitted to the ICU, they then spend 7 days there on average. 50% of patients recover in the ICU, while another 50% do not survive.
Those who survive then return to a hospital bed to recover, where they spend a further 5 days on average.
On average, how many Covid-19 patients will be occupying (i) hospital beds and (ii) ICU beds in Atlanta?
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