Application of Kuhn-Tucker Optimality Criteria in the Selection of Fertilizer Combination for Crop Optimal Yield
Keywords:
Complementary, hessian matrix, optimality, response surface, reciprocal polynomial.Abstract
The application of response surface methodology in agricultural context, especially in agronomical research for years now, has been of great interest to many statisticians. Most of their earlier works were to a large extent on ordinary polynomials which exhibited undesirable problem of unboundedness, symmetry about the optimum, false location of optimum and nonsensical extrapolation. In this work, Kuhn-Tucker optimality criteria have proved to be more efficient when compared with methods like Berry and Mitscherlich. In fact, the initial problem of unboundedness, symmetry about the optimum, etc, are removed. Numerical application using different types of fertilizer combination to compare crop yield confirmed this assertion.
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