A Gompertz curve is the graph of a function of the general form N(t) = CA Bt

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A Gompertz curve is the graph of a function of the general form N(t) = CABt where A, B, and C are constants. Such curves are used by psychologists and others to describe such things as learning and growth within an organization.


a. Suppose the personnel director of a large corporation determines that after t years, the corporation will have N(t) = 500(0.03)(0.4)t employees. How many employees are there originally (at time t = 0)? How many are there after 5 years? When will there be 300 employees? How many employees will there be in the long run?


b. Sketch the graph of N(t). Then, on the same graph sketch the graph of the Gompertz function


imageHow would you describe the relationship between the two graphs?

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Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

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