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Technical Note

Optimal Control of a Logarithmic Advertising Model

Pages 317-319 | Published online: 19 Dec 2017
 

Abstract

A logarithmic advertising model is posed and solved for an optimal dynamic advertising policy for both finite and infinite horizon cases by using optimal control theory. In the case of the infinite horizon, the optimal long-run stationary equilibrium rate of advertising is obtained. It is shown that the optimal advertising policy is independent of the initial level of sales for the logarithmic model.

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