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  2. Economic surplus - Wikipedia

    en.wikipedia.org/wiki/Economic_surplus

    Producer surplus, or producers' surplus, is the amount that producers benefit by selling at a market price that is higher than the least that they would be willing to sell for; this is roughly equal to profit (since producers are not normally willing to sell at a loss and are normally indifferent to selling at a break-even price).

  3. Integration by parts - Wikipedia

    en.wikipedia.org/wiki/Integration_by_parts

    This visualization also explains why integration by parts may help find the integral of an inverse function f −1 (x) when the integral of the function f(x) is known. Indeed, the functions x(y) and y(x) are inverses, and the integral ∫ x dy may be calculated as above from knowing the integral ∫ y dx.

  4. Mathematical economics - Wikipedia

    en.wikipedia.org/wiki/Mathematical_economics

    Mathematical economics is the application of mathematical methods to represent theories and analyze problems in economics.Often, these applied methods are beyond simple geometry, and may include differential and integral calculus, difference and differential equations, matrix algebra, mathematical programming, or other computational methods.

  5. Profit maximization - Wikipedia

    en.wikipedia.org/wiki/Profit_maximization

    The maximization of producer surplus can in some cases reduce consumer surplus. [15] Some forms of producer profit maximization are considered anti-competitive practices and are regulated by competition law. [15] Maximization of short-term producer profit can reduce long-term producer profit, which can be exploited by predatory pricing such as ...

  6. Integration by reduction formulae - Wikipedia

    en.wikipedia.org/wiki/Integration_by_reduction...

    The main idea is to express an integral involving an integer parameter (e.g. power) of a function, represented by I n, in terms of an integral that involves a lower value of the parameter (lower power) of that function, for example I n-1 or I n-2. This makes the reduction formula a type of recurrence relation. In other words, the reduction ...

  7. Cobb–Douglas production function - Wikipedia

    en.wikipedia.org/wiki/Cobb–Douglas_production...

    Wire-grid Cobb–Douglas production surface with isoquants A two-input Cobb–Douglas production function with isoquants. In economics and econometrics, the Cobb–Douglas production function is a particular functional form of the production function, widely used to represent the technological relationship between the amounts of two or more inputs (particularly physical capital and labor) and ...

  8. Product integral - Wikipedia

    en.wikipedia.org/wiki/Product_integral

    The geometric integral (type II above) plays a central role in the geometric calculus, [3] [4] [17] which is a multiplicative calculus. The inverse of the geometric integral, which is the geometric derivative , denoted f ∗ ( x ) {\displaystyle f^{*}(x)} , is defined using the following relationship:

  9. Surplus value - Wikipedia

    en.wikipedia.org/wiki/Surplus_value

    The surplus-value produced by prolongation of the working day, I call absolute surplus-value. On the other hand, the surplus-value arising from the curtailment of the necessary labour-time, and from the corresponding alteration in the respective lengths of the two components of the working day, I call relative surplus-value.