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Marginal Product Of Capital
In economics, the marginal product of capital (MPK) is the additional production that a firm experiences when it adds an extra unit of capital. It is a feature of the production function, alongside the labour input. Definition The marginal product of capital (MPK) is the additional output resulting, ceteris paribus ("all things being equal"), from the use of an additional unit of physical capital, such as machines or buildings used by businesses. The marginal product of capital (MPK) is the amount of extra output the firm gets from an extra unit of capital, holding the amount of labor constant: : MP_K = F(K + 1, L) - F(K, L) Thus, the marginal product of capital is the difference between the amount of output produced with K + 1 units of capital and that produced with only K units of capital.N. Gregory Mankiw. (2010). Macroeconomics. United States: Worth Publishers Determining marginal product of capital is essential when a firm is debating on whether or not to invest on the a ...
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Production Function
In economics, a production function gives the technological relation between quantities of physical inputs and quantities of output of goods. The production function is one of the key concepts of mainstream neoclassical theories, used to define marginal product and to distinguish allocative efficiency, a key focus of economics. One important purpose of the production function is to address allocative efficiency in the use of factor inputs in production and the resulting distribution of income to those factors, while abstracting away from the technological problems of achieving technical efficiency, as an engineer or professional manager might understand it. For modelling the case of many outputs and many inputs, researchers often use the so-called Shephard's distance functions or, alternatively, directional distance functions, which are generalizations of the simple production function in economics. In macroeconomics, aggregate production functions are estimated to create a fr ...
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Output (economics)
Output in economics is the "quantity of goods or services produced in a given time period, by a firm, industry, or country", whether consumed or used for further production. The concept of national output is essential in the field of macroeconomics. It is national output that makes a country rich, not large amounts of money. Definition Output is the result of an economic process that has used inputs to produce a product or service that is available for sale or use somewhere else. ''Net output'', sometimes called ''netput'' is a quantity, in the context of production, that is positive if the quantity is output by the production process and negative if it is an input to the production process. Microeconomics Output condition The profit-maximizing output condition for producers equates the relative marginal cost of any two goods to the relative selling price of those goods; i.e. \frac = \frac One may also deduce the ratio of marginal costs as the slope of the p ...
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Ceteris Paribus
' (also spelled '; () is a Latin phrase, meaning "other things equal"; some other English translations of the phrase are "all other things being equal", "other things held constant", "all else unchanged", and "all else being equal". A statement about a causal, empirical, or logical relation between two states of affairs is ''ceteris paribus'' if it is acknowledged that the statement, although usually accurate in expected conditions, can fail because of, or the relation can be abolished by, intervening factors. chapter 2 A ''ceteris paribus'' assumption is often key to scientific inquiry, because scientists seek to eliminate factors that perturb a relation of interest. Thus epidemiologists, for example, may seek to control independent variables as factors that may influence dependent variables—the outcomes of interest. Likewise, in scientific modeling, simplifying assumptions permit illustration of concepts considered relevant to the inquiry. An example in economics is " ...
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Capital (economics)
In economics, capital goods or capital are "those durable produced goods that are in turn used as productive inputs for further production" of goods and services. At the macroeconomic level, "the nation's capital stock includes buildings, equipment, software, and inventories during a given year." A typical example is the machinery used in factories. Capital can be increased by the use of the factors of production, which however excludes certain durable goods like homes and personal automobiles that are not used in the production of saleable goods and services. Adam Smith defined capital as "that part of man's stock which he expects to afford him revenue". In economic models, capital is an input in the production function. The total physical capital at any given moment in time is referred to as the capital stock (not to be confused with the capital stock of a business entity). Capital goods, real capital, or capital assets are already-produced, durable goods or any non ...
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Multiplicative Inverse
In mathematics, a multiplicative inverse or reciprocal for a number ''x'', denoted by 1/''x'' or ''x''−1, is a number which when multiplied by ''x'' yields the multiplicative identity, 1. The multiplicative inverse of a fraction ''a''/''b'' is ''b''/''a''. For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1/5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4. The reciprocal function, the function ''f''(''x'') that maps ''x'' to 1/''x'', is one of the simplest examples of a function which is its own inverse (an involution). Multiplying by a number is the same as dividing by its reciprocal and vice versa. For example, multiplication by 4/5 (or 0.8) will give the same result as division by 5/4 (or 1.25). Therefore, multiplication by a number followed by multiplication by its reciprocal yields the original number (since the product of the number and its reciprocal is 1). The term ''reciproc ...
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Incremental Capital-output Ratio
The Incremental Capital-Output Ratio (ICOR) is the ratio of investment to growth which is equal to the reciprocal of the marginal product of capital. The higher the ICOR, the lower the productivity of capital or the marginal efficiency of capital. The ICOR can be thought of as a measure of the inefficiency with which capital is used. In most countries the ICOR is in the neighborhood of 3. It is a topic discussed in economic growth. It can be expressed in the following formula, where ''K'' is capital output ratio, ''Y'' is output (GDP), and ''I'' is net investment. \text = \frac = \frac= \frac According to this formula the incremental capital output ratio can be computed by dividing the investment share in GDP by the rate of growth of GDP. As an example, if the level of investment (as a share of GDP) in a developing country had been (approximately) 20% over a particular period, and if the growth rate of GDP had been (approximately) 5% per year during the same period, then the I ...
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Partial Derivative
In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary). Partial derivatives are used in vector calculus and differential geometry. The partial derivative of a function f(x, y, \dots) with respect to the variable x is variously denoted by It can be thought of as the rate of change of the function in the x-direction. Sometimes, for z=f(x, y, \ldots), the partial derivative of z with respect to x is denoted as \tfrac. Since a partial derivative generally has the same arguments as the original function, its functional dependence is sometimes explicitly signified by the notation, such as in: :f'_x(x, y, \ldots), \frac (x, y, \ldots). The symbol used to denote partial derivatives is ∂. One of the first known uses of this symbol in mathematics is by Marquis de Condorcet from 1770, who used it f ...
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Diminishing Returns
In economics, diminishing returns are the decrease in marginal (incremental) output of a production process as the amount of a single factor of production is incrementally increased, holding all other factors of production equal ( ceteris paribus). The law of diminishing returns (also known as the law of diminishing marginal productivity) states that in productive processes, increasing a factor of production by one unit, while holding all other production factors constant, will at some point return a lower unit of output per incremental unit of input. The law of diminishing returns does not cause a decrease in overall production capabilities, rather it defines a point on a production curve whereby producing an additional unit of output will result in a loss and is known as negative returns. Under diminishing returns, output remains positive, however productivity and efficiency decrease. The modern understanding of the law adds the dimension of holding other outputs equal, since ...
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Production Function - Decreasing Returns In Capital
Production may refer to: Economics and business * Production (economics) * Production, the act of manufacturing goods * Production, in the outline of industrial organization, the act of making products (goods and services) * Production as a statistic, gross domestic product * Production line Arts, entertainment, and media Motion pictures * Production, film distributor of a company * Production, phase of filmmaking * Production, video production Other uses in arts, entertainment, and media * ''Production'' (album), by Mirwais, 2000 * Production, category of illusory magic trick * Production, phase of video games development * Production, Record producer's role * Production, theatrical performance Science and technology * Production, deployment environment where changes go "live" and users interact with it * Production (computer science), formal-grammar concept * Primary production, the production of new biomass by autotrophs in ecosystems * Productivity (ecology), the wider c ...
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Diminishing Marginal Returns
In economics, diminishing returns are the decrease in marginal (incremental) output of a production process as the amount of a single factor of production is incrementally increased, holding all other factors of production equal (ceteris paribus). The law of diminishing returns (also known as the law of diminishing marginal productivity) states that in productive processes, increasing a factor of production by one unit, while holding all other production factors constant, will at some point return a lower unit of output per incremental unit of input. The law of diminishing returns does not cause a decrease in overall production capabilities, rather it defines a point on a production curve whereby producing an additional unit of output will result in a loss and is known as negative returns. Under diminishing returns, output remains positive, however productivity and efficiency decrease. The modern understanding of the law adds the dimension of holding other outputs equal, since a ...
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Perfect Competition
In economics, specifically general equilibrium theory, a perfect market, also known as an atomistic market, is defined by several idealizing conditions, collectively called perfect competition, or atomistic competition. In theoretical models where conditions of perfect competition hold, it has been demonstrated that a market will reach an equilibrium in which the quantity supplied for every product or service, including labor, equals the quantity demanded at the current price. This equilibrium would be a Pareto optimum. Perfect competition provides both allocative efficiency and productive efficiency: * Such markets are ''allocatively efficient'', as output will always occur where marginal cost is equal to average revenue i.e. price (MC = AR). In perfect competition, any profit-maximizing producer faces a market price equal to its marginal cost (P = MC). This implies that a factor's price equals the factor's marginal revenue product. It allows for derivation of the sup ...
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Marginal Product Of Labor
In economics, the marginal product of labor (MPL) is the change in output that results from employing an added unit of labor. It is a feature of the production function, and depends on the amounts of physical capital and labor already in use. Definition The marginal product of a factor of production is generally defined as the change in output resulting from a unit or infinitesimal change in the quantity of that factor used, holding all other input usages in the production process constant. The marginal product of labor is then the change in output (''Y'') per unit change in labor (''L''). In discrete terms the marginal product of labor is: : \frac . In continuous terms, the ''MPL'' is the first derivative of the production function: : \frac .Perloff, J., ''Microeconomics Theory and Applications with Calculus'', Pearson 2008. p. 173. Graphically, the ''MPL'' is the slope of the production function. Examples There is a factory which produces toys. When there are no workers ...
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