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Published online 1 September 1968
Published in Agron J 60:571-576 (1968)
© 1968 American Society of Agronomy
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A Linear Program for Determining Nutrient Culture Mixtures1

D. R. Jensen and Paul Sutton2

Procedures are given for determining the quantities of compounds to be used in preparing nutrient cultures which satisfy the requirements of quantitative plant nutrition experiments. In the example discussed the concentrations of N(as NH+4), P, and N(as NO–3) are specified exactly, while minimum concentrations are given for K and Mg. From a set of compounds containing the requisite nutrient elements, a recipe is obtained which satisfies the requirements while minimizing concentrations of Na and Cl. This formulation is achieved by an iterative procedure called linear programming which utilizes a tabular solution to the problem.

Key Words: nutrient culture formulation • nutrition • linear programming

1 This investigation was supported in part by a Public Health Service Research Career Development Award, No. 1-K3-GM-37, 209-01, from the National Institute of General Medical Sciences, and by the Ohio Agricultural Research and Development Center.

2 Associate Professor of Statistics, Virginia Polytechnic Institute, Blacksburg Va. 24061, and Associate Professor of Agronomy, Ohio Agricultural Research and Development Center, Wooster, O.

Received for publication March 1, 1967.




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Copyright © 1968 by the American Society of Agronomy.