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The statement was first proven by Claude Berge in 1959. [1] The theorem is primarily used in mathematical economics and optimal control . Statement of theorem
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Two input Leontief Production Function with isoquants. In economics, the Leontief production function or fixed proportions production function is a production function that implies the factors of production which will be used in fixed (technologically predetermined) proportions, as there is no substitutability between factors.
[1] [2] The maximum principle was formulated in 1956 by the Russian mathematician Lev Pontryagin and his students, [3] [4] and its initial application was to the maximization of the terminal speed of a rocket. [5] The result was derived using ideas from the classical calculus of variations. [6]
Statements consisting only of original research should be removed. ( March 2018 ) ( Learn how and when to remove this message ) The whole of neoclassical equilibrium analysis implies that Say's law in the first place functioned to bring a market into this state: that is, Say's law is the mechanism through which markets equilibrate uniquely.
The following is the statement of the theorem in the books of Morrey and Smoller, following the original statement of Hopf (1927): Let M be an open subset of Euclidean space ℝ n. For each i and j between 1 and n, let a ij and b i be continuous functions on M with a ij = a ji. Suppose that for all x in M, the symmetric matrix [a ij] is ...
In simple terms, although profit is related to total cost, =, the enterprise can maximize profit by producing to the maximum profit (the maximum value of ) to maximize profit. But when the total cost increases, it does not mean maximizing profit Will change, because the increase in total cost does not necessarily change the marginal cost.
Capital. A Critique of Political Economy. Volume I: The Process of Production of Capital (German: Das Kapital.Kritik der politischen Ökonomie Erster Band. Buch I: Der Produktionsprocess des Kapitals) is the first of three treatises that make up Das Kapital, a critique of political economy by the German philosopher and economist Karl Marx.