Production Vector
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Production Vector
In economics the production set is a construct representing the possible inputs and outputs to a production process. A production vector represents a process as a vector containing an entry for every commodity in the economy. Outputs are represented by positive entries giving the quantities produced and inputs by negative entries giving the quantities consumed. If the commodities in the economy are (''labour'', ''corn'', ''flour'', ''bread'') and a mill uses one unit of labour to produce 8 units of flour from 10 units of corn, then its production vector is (–1,–10,8,0). If it needs the same amount of labour to run at half capacity then the production vector (–1,–5,4,0) would also be operationally possible. The set of all operationally possible production vectors is the mill's production set. If ''y'' is a production vector and ''p'' is the economy's price vector, then ''p''·''y'' is the value of net output. The mill's owner will normally choose ''y'' from the production ...
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Production (economics)
Production is the process of combining various inputs, both material (such as metal, wood, glass, or plastics) and immaterial (such as plans, or knowledge) in order to create output. Ideally this output will be a good or service which has value and contributes to the utility of individuals. The area of economics that focuses on production is called production theory, and it is closely related to the consumption (or consumer) theory of economics. The production process and output directly result from productively utilising the original inputs (or factors of production). Known as primary producer goods or services, land, labour, and capital are deemed the three fundamental production factors. These primary inputs are not significantly altered in the output process, nor do they become a whole component in the product. Under classical economics, materials and energy are categorised as secondary factors as they are byproducts of land, labour and capital. Delving further, primary factor ...
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Closed Set
In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set. In a topological space, a closed set can be defined as a set which contains all its limit points. In a complete metric space, a closed set is a set which is closed under the limit operation. This should not be confused with a closed manifold. Equivalent definitions By definition, a subset A of a topological space (X, \tau) is called if its complement X \setminus A is an open subset of (X, \tau); that is, if X \setminus A \in \tau. A set is closed in X if and only if it is equal to its closure in X. Equivalently, a set is closed if and only if it contains all of its limit points. Yet another equivalent definition is that a set is closed if and only if it contains all of its boundary points. Every subset A \subseteq X is always contained in its (topological) closure in X, which is denoted by \operatorname_X A; that is, if A \subseteq X then A \subseteq \oper ...
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Free Disposal
In various parts of economics, the term free disposal implies that resources can be discarded without any cost. For example, a fair division setting with free disposal is a setting where some resources have to be divided fairly, but some of the resources may be left undivided, discarded or donated. Examples of situations with free disposal are allocation of food, clothes jewels etc. Examples of situations ''without'' free disposal are: * Chore division - since all chores must be done. * Allocation of land with an old structure - since the structure may have to be destructed, and destruction is costly. * Allocation of an old car - since the car may have to be carried away to used cars garage, and moving it may be costly. * Allocation of shares in a firm that may have debts - since the firm cannot be disposed of without paying its debts first. The free disposal assumption may be useful for several reasons: * It enables truthful cake-cutting algorithms: The option to discard some of ...
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Irreversibility
In science, a process that is not reversible is called irreversible. This concept arises frequently in thermodynamics. All complex natural processes are irreversible, although a phase transition at the coexistence temperature (e.g. melting of ice cubes in water) is well approximated as reversible. In thermodynamics, a change in the thermodynamic state of a system and all of its surroundings cannot be precisely restored to its initial state by infinitesimal changes in some property of the system without expenditure of energy. A system that undergoes an irreversible process may still be capable of returning to its initial state. Because entropy is a state function, the change in entropy of the system is the same whether the process is reversible or irreversible. However, the impossibility occurs in restoring the environment to its own initial conditions. An irreversible process increases the total entropy of the system and its surroundings. The second law of thermodynamics can be u ...
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Convex Set
In geometry, a subset of a Euclidean space, or more generally an affine space over the reals, is convex if, given any two points in the subset, the subset contains the whole line segment that joins them. Equivalently, a convex set or a convex region is a subset that intersects every line into a single line segment (possibly empty). For example, a solid cube is a convex set, but anything that is hollow or has an indent, for example, a crescent shape, is not convex. The boundary of a convex set is always a convex curve. The intersection of all the convex sets that contain a given subset of Euclidean space is called the convex hull of . It is the smallest convex set containing . A convex function is a real-valued function defined on an interval with the property that its epigraph (the set of points on or above the graph of the function) is a convex set. Convex minimization is a subfield of optimization that studies the problem of minimizing convex functions over convex se ...
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Free Entry
In economics, free entry is a condition in which firms can freely enter the market for an economic good by establishing production and beginning to sell the product. The assumption of free entry implies that if there are firms earning excessively high profits in a given industry, new firms that also seek a high profit are likely to start to produce or change into a production of the same good to join the market. In such a case there are no barriers preventing a start-up firm from competing. Where an opportunity of a profit arises we assume that there will also be firms entering the market for the certain good and compete for it. In most markets this condition is present only in the long run. The assumption of free entry doesn't mean that a firm is simply able to set up a shop without any costs incurred. It is clear that the new entrant needs to gain the capital that they need for operating in the industry. Therefore, even with a free entry to a market the entrant still has to fac ...
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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 Economic model, theoretical models where conditions of perfect competition hold, it has been demonstrated that a Market (economics), market will reach an Economic equilibrium, equilibrium in which the quantity supplied for every Goods and services, product or service, including Workforce, 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 maximization, profit-maximizing producer faces a market price equal to its marginal cost (P = MC). This implies that ...
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Returns To Scale
In economics, returns to scale describe what happens to long-run returns as the scale of production increases, when all input levels including physical capital usage are variable (able to be set by the firm). The concept of returns to scale arises in the context of a firm's production function. It explains the long-run linkage of the rate of increase in output (production) relative to associated increases in the inputs (factors of production). In the long run, all factors of production are variable and subject to change in response to a given increase in production scale. While economies of scale show the effect of an increased output level on unit costs, returns to scale focus only on the relation between input and output quantities. There are three possible types of returns to scale: increasing returns to scale, constant returns to scale, and diminishing (or decreasing) returns to scale. If output increases by the same proportional change as all inputs change then there are cons ...
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Economies Of Scale
In microeconomics, economies of scale are the cost advantages that enterprises obtain due to their scale of operation, and are typically measured by the amount of output produced per unit of time. A decrease in cost per unit of output enables an increase in scale. At the basis of economies of scale, there may be technical, statistical, organizational or related factors to the degree of market control. This is just a partial description of the concept. Economies of scale apply to a variety of the organizational and business situations and at various levels, such as a production, plant or an entire enterprise. When average costs start falling as output increases, then economies of scale occur. Some economies of scale, such as capital cost of manufacturing facilities and friction loss of transportation and industrial equipment, have a physical or engineering basis. The economic concept dates back to Adam Smith and the idea of obtaining larger production returns through the use ...
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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 fram ...
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Company
A company, abbreviated as co., is a Legal personality, legal entity representing an association of people, whether Natural person, natural, Legal person, legal or a mixture of both, with a specific objective. Company members share a common purpose and unite to achieve specific, declared goals. Companies take various forms, such as: * voluntary associations, which may include nonprofit organizations * List of legal entity types by country, business entities, whose aim is generating profit * financial entities and banks * programs or Educational institution, educational institutions A company can be created as a legal person so that the company itself has limited liability as members perform or fail to discharge their duty according to the publicly declared Incorporation (business), incorporation, or published policy. When a company closes, it may need to be Liquidation, liquidated to avoid further legal obligations. Companies may associate and collectively register themselves ...
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Monopoly
A monopoly (from Greek language, Greek el, μόνος, mónos, single, alone, label=none and el, πωλεῖν, pōleîn, to sell, label=none), as described by Irving Fisher, is a market with the "absence of competition", creating a situation where a specific person or company, enterprise is the only supplier of a particular thing. This contrasts with a monopsony which relates to a single entity's control of a Market (economics), market to purchase a good or service, and with oligopoly and duopoly which consists of a few sellers dominating a market. Monopolies are thus characterized by a lack of economic Competition (economics), competition to produce the good (economics), good or Service (economics), service, a lack of viable substitute goods, and the possibility of a high monopoly price well above the seller's marginal cost that leads to a high monopoly profit. The verb ''monopolise'' or ''monopolize'' refers to the ''process'' by which a company gains the ability to raise ...
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