Suppose the number of employees at a new regional hospital, Physics

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Suppose the number of employees at a new regional hospital

Question: Suppose the number of employees at a new regional hospital is predicted by the Gompertz curve

N = 3500(0.1)^{0.5^t}

where t is the number of years after the hospital opens.

(a) How many employees did the hospital have when it opened?

(b) What is the expected upper limit on the number of employees?

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