The improvement of water quality under a financial constraint: A commentary on ‘linear programming applied to water quality management’

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Abstract
Limited funds for building treatment facilities on a river basin are allocated to secure the largest possible value of the minimum level of dissolved oxygen. Linear programming is utilized to determine the configuration of efficiencies that achieve this goal. At optimality, the dual variable associated with the financial constraint indicates the instantaneous rate of change of the minimum dissolved oxygen concentration with respect to the funds available. Several alternative formulations of the problem are discussed. A numerical example is solved to illustrate the methodology.

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