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Differentiation of Multivariate Functions,tunately, the real world is not that simple. We have to therefore consider functions of several variables. For example, the output of a firm depends upon many factors such as the size of the labour force, amount of machinery, cost of capital etc. Also, the supply and demand of a commodity will not o容易生皱纹 发表于 2025-3-22 12:13:46
Unconstrained Extrema, finding the turning points of two-dimensional functions. However, many problems in economics and business related fields involve functions of several independent variables. Because of the increasing complexity of the mathematics involved, we shall concern ourselves, in the main, with three-dimensioAGOG 发表于 2025-3-22 14:28:18
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Unconstrained Extrema, independent variables. Because of the increasing complexity of the mathematics involved, we shall concern ourselves, in the main, with three-dimensional surfaces. I have therefore only stated conditions for the optimisation of functions involving two independent variables.arabesque 发表于 2025-3-23 06:35:06
Constrained Extrema,ducers may want to produce as much as possible but they have only so much labour, equipment and capital available. In this chapter, we consider the area of constrained optimisation for problems involving one equality constraint. Also, only second-order conditions for functions involving two variables will be considered.