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Used to define marginal product and to distinguish allocative efficiency
production function gives the technological relation between quantities of physical inputs and quantities of output of goods. The production function
Production_function
Function in economics
the Leontief production function or fixed proportions production function is a production function that implies the factors of production which will be
Leontief_production_function
Economic formula of productivity
and econometrics, the Cobb–Douglas production function is a particular functional form of the production function, widely used to represent the relationship
Cobb–Douglas production function
Cobb–Douglas_production_function
This is a list of production functions that have been used in the economics literature. Production functions are a key part of modelling national output
List_of_production_functions
but from commodities they transform into goods through a household production function. It is these goods that they value. The idea was originally proposed
Household_production_function
Process of using materials to produce something
product. The production function assesses the relationship between the inputs and the quantity of output. Economic welfare is created in a production process
Production_(economics)
Soil production function refers to the rate of bedrock weathering into soil as a function of soil thickness. A general model suggests that the rate of
Soil_production_function
Resources used in the production process
according to the relationship called the production function. There are four basic resources or factors of production: land, labour, capital and entrepreneur
Factors_of_production
Concept in economics
substitution (CES) is a common specification of many production functions and utility functions in neoclassical economics. CES holds that the ability
Constant elasticity of substitution
Constant_elasticity_of_substitution
Tangible man-made goods that help and support production
represents one of the three primary factors of production, that is also recognized as inputs production function. The others are natural resources (including
Physical_capital
American economist
In specific fields, he has written on the labor theory of value, production functions, international trade, neoliberalism, the welfare state, economic
Anwar_Shaikh_(economist)
Model of long-run economic growth
driven by technological progress. At its core, it is an aggregate production function, often specified to be of Cobb–Douglas type, which enables the model
Solow–Swan_model
Economic theory
derivative in the above production function. Which can be simplified to: Q= f(L,K). This signifies that output (Q) is dependent on a function of all variable
Diminishing_returns
Economic dispute
Cobb–Douglas production function for sector i plus one for sector j (plus that for sector k, etc.) adds up to a Cobb–Douglas production function for the economy
Cambridge_capital_controversy
Graph used in economics
costs of production as a function of total quantity produced. In a free market economy, productively efficient firms optimize their production process
Cost_curve
Economic theory
R&D to the growth model. The AK model production function is a special case of a Cobb–Douglas production function: Y = A K a L 1 − a {\displaystyle Y=AK^{a}L^{1-a}\
Endogenous_growth_theory
Income distributed to BSC
Substitution Type Production/Utility Function in Three Dimensions". University of Washington. Moroney, J. R. (1967) Cobb-Douglass production functions and returns
Profit_(accounting)
Additional production per extra unit of capital
is the additional production that a firm experiences when it adds an extra unit of input. It is a feature of the production function, alongside the labour
Marginal_product_of_capital
Geometrical concept
normal distribution, these contours are ellipses. In economics, a production function f(x, y) specifies the output that can be produced by various quantities
Cross_section_(geometry)
Set of assumptions in macroeconomics
mathematical assumptions about the shape and boundary behaviour of production or utility functions that ensure well-behaved properties in economic models, such
Inada_conditions
Academic discipline
other social outcomes. An education production function is an application of the economic concept of a production function to the field of education. It relates
Education_economics
Economic model for international trade
doubled, output of the commodities is doubled. In other terms the production function of both commodities is "homogeneous of degree 1". The assumption
Heckscher–Ohlin_model
Microeconomic concept
arises in the context of a firm's production function. It explains the long-run linkage of increase in output (production) relative to associated increases
Returns_to_scale
Represents the inputs and outputs to a process
in the production set. This is known as the production function. If a production set is separable then we may define a "production value function" fp(x)
Production_set
Cost advantages obtained via scale of operation
returns to scale in the production function). Each of these factors reduces the long run average costs (LRAC) of production by shifting the short-run
Economies_of_scale
Change in output resulting from employing one more unit of a particular input
mathematical derivative of the production function with respect to that input. Suppose a firm's output Y is given by the production function: Y = F ( K , L ) {\displaystyle
Marginal_product
Negative of a convex function
In mathematics, a concave function is one for which the function value at any convex combination of elements in the domain is greater than or equal to
Concave_function
Extension of the factorial function
The gamma function then is defined in the complex plane as the analytic continuation of this integral function: it is a meromorphic function which is holomorphic
Gamma_function
Bilateral index
The MI is based on the concept of the production function. This is a function of maximum possible production, with respect to a set of inputs pertaining
Malmquist_index
generalized-Ozaki (GO) cost function is a general description of the cost of production proposed by Shinichiro Nakamura. The GO cost function is notable for explicitly
Generalized Ozaki cost function
Generalized_Ozaki_cost_function
Economic model of endogenous growth
growth by redefining "capital" and including human capital in the production function (e.g., the Mankiw–Romer–Weil model [ru]) do not explain all the differences
Aghion–Howitt_model
Italian economist (1930–2023)
the production of ‘corn’ from that of ‘gold’. Equation (2.8) presents the gold production function which, unlike the ‘corn’ production function, exhibits
Luigi_Pasinetti
Family of functions to transform data
(CES) production function. The CES production function is a homogeneous function of degree one. When λ = 1, this produces the linear production function: Q
Power_transform
Change in output that results from employing an added unit of labor
the production function and depends on the amounts of physical capital and labor already in use. The marginal product of a factor of production is generally
Marginal_product_of_labor
Already-produced durable goods that are used in production of goods or services
featuring prominently as an input variable in standard economic production functions such as Q = f ( L , K ) {\displaystyle {\displaystyle Q=f(L,K)}}
Capital_(economics)
Economy with one consumer, one producer, and two goods
plotted with Crusoe's indifference map and production function, figure 2 can be drawn: The production function is concave in two dimensions and quasi-convex
Robinson_Crusoe_economy
Model of economic development
with the number of tasks. The production function is: F(qi, qj) = Bqiqj The important implication of this production function is positive assortative matching
O-ring theory of economic development
O-ring_theory_of_economic_development
Money spent to produce or procure goods or services
This can also be described as the costs internal to the firm's production function. External costs (also called externalities), in contrast, are the
Cost
Average measure of the efficiency of production
'technical change' as a shorthand expression for any kind of shift in the production function. Thus slowdowns, speed ups, improvements in the education of the
Productivity
Growth model in economics
parameterizations of a Cobb–Douglas production function, the AK model uses a linear model where output is a linear function of capital. Its appearance in most
AK_model
Neoclassical economic model
the aggregate production function, Y = F ( K , L ) {\displaystyle Y=F(K,L)} . A common choice is the Cobb–Douglas production function F ( K , L ) = A
Ramsey–Cass–Koopmans_model
Method used to measure productivity
solution is the production theory and the production function. It is essential that the model is able to describe the production function. The principle
Productivity_model
Economic indicator
labour in the production function is not important. The same results can be derived with greater hardship using any production function having constant
Solow_residual
Concept in macroeconomics
mean the end of the profitable business. Instead the production function is formulated as a function INCOME=F(OUTPUT-INPUT) which is to be maximized. The
Growth_accounting
Type of technical change in a production function
technical change in the production function of a business or industry that increases the marginal product of the production factors by the same proportion
Hicks-neutral technical change
Hicks-neutral_technical_change
Health economics model
for medical care on the interaction between a demand function for health and a production function for health. Andrew Jones, Nigel Rice, and Paul Contoyannis
Grossman model of health demand
Grossman_model_of_health_demand
Class of mathematical functions
In mathematics, a supermodular function is a function on a lattice that, informally, has the property of being characterized by "increasing differences
Supermodular_function
American economist and Nobel Laureate (1924–2023)
Solow, Robert M. (2001), "After technical progress and the aggregate production function", in Hulten, Charles R.; Dean, Edwin R.; Harper, Michael J. (eds
Robert_Solow
Concept in economics
include aggregate variables. A typical example is the aggregate production function. Another famous problem is Sonnenschein-Mantel-Debreu theorem. Most
Aggregation_problem
Economic theory
always should involve shirking. The aggregate production function F ( L ) {\displaystyle F(L)} is a function of total effective labour force. A firm's labour
Shapiro–Stiglitz_theory
Concept in economics
as the level of output expands. A Cobb–Douglas production function is an example of a production function that has an expansion path which is a straight
Expansion_path
Economic theory stemming from the theory of production
and microeconomics, the economic region of production is an offshoot of the theory of production function with two variables. It is a cost-oriented theory
Economic_region_of_production
S-shaped curve
A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with the equation f ( x ) = L 1 + e − k ( x − x 0 ) {\displaystyle f(x)={\frac
Logistic_function
Topics referred to by the same term
function In economics, the cost curve, expressing production costs in terms of the amount produced. In mathematical optimization, the loss function,
Cost_function
Concept in microeconomic theory
Proof Let Y {\displaystyle Y} be our production function. By taking the total differential of the production function, we obtain the following results:
Marginal rate of technical substitution
Marginal_rate_of_technical_substitution
Method in operations research and economics
parametric methods that require the ex-ante specification of a production- or cost-function, non-parametric approaches compare feasible input and output
Data_envelopment_analysis
German physicist
electricity in the function with the useful work from exergy inputs to the US economy (for the period 1900 to 2000) to the LINEX production function to similar
Reiner_Kümmel
categorized/classified in various ways depending on its material, method of production, function, and style. Earthenware: Fired at a lower temperature (typically
List of classifications of pottery
List_of_classifications_of_pottery
Contour line in microeconomics
showing the technological tradeoff between capital and labor in the production function, and the decreasing marginal returns of both inputs. In managerial
Isoquant
production function is a family of production functions parametrized by the elasticities of output with respect to the various factors of production.[citation
Parametric_family
Mathematical framework in economics
matching function is in general analogous to a production function. However, whereas a production function usually represents the production of goods
Search-and-matching_theory
Visualization of all possible options of output for a two-good economy
(which are reflected in the available production functions) and the available quantities of factors of production (materials, direct labor, and factory
Production–possibility frontier
Production–possibility_frontier
The Lucas aggregate supply function or Lucas "surprise" supply function, based on the Lucas imperfect information model, is a representation of aggregate
Lucas aggregate supply function
Lucas_aggregate_supply_function
used (the quantity of capital demanded) per month, and f is the production function specifying the amount of output that can be produced using any of
Labor_demand
Price levels at which goods and services must be sold
the function of prices of production within Marx's theory differs from both classical political economy and neoclassical economics. A production price
Prices_of_production
functions (PDFs), the hard scattering part, and fragmentation functions. The fragmentation functions, as are the PDFs, are non-perturbative functions
Fragmentation_function
second part asserts that, within such a balanced growth path, the production function, Y = F ~ ( A ~ , K , L ) {\displaystyle Y={\tilde {F}}({\tilde {A}}
Uzawa's_theorem
Process to determine the highest profits for a firm
firm may have input cost functions giving the cost of acquiring any amount of each input, along with a production function showing how much output results
Profit_maximization
Amount of a good that sellers are willing to provide in the market
good's own price, the prices of related goods, production costs, technology, the production function, and expectations of sellers. Innumerable factors
Supply_(economics)
Cobb–Douglas Production Function Models". Econometrica 34 (4): 784–795. JSTOR 1910099. Kmenta, Jan (1967). “On Estimation of the CES Production Function” International
Jan_Kmenta
Book by Mancur Olson
are unrealistic. For instance, he assumes a linear “production function” for goods. If the function accelerates instead, a critical mass of early contributors
The Logic of Collective Action
The_Logic_of_Collective_Action
Model in development economics
is not a simple substitute for physical capital in an aggregate production function. There are reasons to believe that the relationship between money
Fei–Ranis model of economic growth
Fei–Ranis_model_of_economic_growth
Relationship between electrical signal and light
for production and international programme exchange". www.itu.int. Retrieved 2021-02-02. "BT.1886 : Reference electro-optical transfer function for flat
Transfer_functions_in_imaging
Marxist idea
management and engineering functions technically indispensable for production (as contrasted with social control functions). Human knowledge (General
Productive_forces
Mathematical relation consisting of a multi-variable function equal to zero
multivariable functions that are continuously differentiable. A common type of implicit function is an inverse function. Not all functions have a unique
Implicit_function
Application of economic concepts to the study of the family
division of labor, intra-household bargaining, and the household production function. Several surveys, treatises, and handbooks are available on the subject
Family_economics
macroeconomic model, that change the production function. Usually this is modeled with an aggregate production function that has a scaling factor. Normally
Technology_shock
Development phases of a computer-based system
Subramanian (November 2008). "An empirical study of the Cobb–Douglas production function properties of software development effort". Information and Software
Systems development life cycle
Systems_development_life_cycle
Japanese virtual YouTuber agency
creative freedom, and production quality, the new facility includes motion capture, green screen filming, and recording functions all within a single floor
Hololive_Production
Overview of and topical guide to production
manufacturing) Factors of production Production theory basics Outline of industrial organization Production function Production possibility frontier Manufacturing
Outline_of_production
Equation in economics
choice Hotelling's lemma Hicksian demand function Marshallian demand function Cobb–Douglas production function Giffen good Purchasing power Normal good
Slutsky_equation
Result in microeconomics
{\displaystyle f:{\mathbb {R} ^{+}}\rightarrow {\mathbb {R} ^{+}}} be the production function, and y ( p ) ≜ f ( x ( p ) ) {\displaystyle y(p)\triangleq f(x(p))}
Hotelling's_lemma
Method used in economic modeling
of technology parameters to be estimated; and f(xi, β) is the production frontier function. TEi denotes the technical efficiency defined as the ratio of
Stochastic_frontier_analysis
American economist and academic (1948–2020)
Lazear was a labor economist known for his work on the educational production function, and the importance of culture and language in explaining the rise
Edward_Lazear
adding, averaging, weighted averaging, multiplying, etc. The response production function R = M ( r ) {\displaystyle R=M(r)} is the process by which the internal
Information integration theory
Information_integration_theory
Measurement of companies' innovation capability
(RQ), and those with higher RQs spend more. RQ is derived from the production function in economics, which defines the relationship between firm inputs
Research_quotient
When one must decrease production of one good to increase another in an economy
distance function, where one can select any direction (or orientation) for measuring the production efficiency. The most popular for estimating production efficiency
Productive_efficiency
Lemma
proved it using the distance formula in his book Theory of Cost and Production Functions in 1953. The equivalent result in the context of consumer theory
Shephard's_lemma
Application of economic techniques to real estate markets
a second production function is constructed that includes the stock of existing housing and their ages as determinants. The two functions are summed
Real_estate_economics
Application of economics in a business
production function can be described in its simplest form by the function Q = F [ L , K ] {\displaystyle Q=F[L,K]} where Q denotes the firm's production, L is
Managerial_economics
Development based on long-term infrastructure investments
greatly improved the performance of the economy. Aschauer uses the production function Y = F ( K , G , N , Z ) = Z K α G β N 1 − α − β {\displaystyle Y=F(K
Infrastructure-based development
Infrastructure-based_development
Indian film studio
KVN Productions is an Indian film production and distribution company based in Bengaluru, Karnataka. Founded in 2020 by entrepreneur Venkat K. Narayana
KVN_Productions
Theory of equilibrium between supply and demand
welfare theorem also holds for economies with production regardless of the properties of the production function. Implicitly, the theorem assumes complete
General_equilibrium_theory
Economic term
this measure is defined locally, i.e. defined at a point. If the production function contains only one input, then the output elasticity is also an indicator
Output_elasticity
the International Comparisons of Factor Efficiency with the CES Production Function: A Reply. The Review of Economics and Statistics, 477–479. The article
Archen_Minsol
Officer in the United States Department of the Treasury
assets and the supervisor of the department's currency and coinage production functions. On March 23, 2025, Donald Trump named Georgia state senator Brandon
Treasurer of the United States
Treasurer_of_the_United_States
Process in engineering
This type of automation implements some supervisory functions rather than production functions. At Toyota, this usually means that if an abnormal situation
Autonomation
applications of this are the productivity formula and the production function. The production function is always presented with fixed-price ratios, i.e., its
Measurement_in_economics
a wide variety including: the Cobb-Douglas production function; a behavioral approach cost/profit function which includes public capital stock; Vector
Public_capital
Capabilities of soils
material, and as base for buildings. Six key soil functions are: Food and other biomass production Environmental Interaction Biological habitat and gene
Soil_functions
PRODUCTION FUNCTION
PRODUCTION FUNCTION
Girl/Female
Tamil
Protection
Girl/Female
Russian
Protection.
Girl/Female
Indian
Protection
Boy/Male
Hindu
Protection
Girl/Female
Tamil
Protection
Girl/Female
Russian
Protection.
Girl/Female
Tamil
Protection
Boy/Male
Tamil
Protection
Girl/Female
Danish
Protection.
Boy/Male
Tamil
Protection
Boy/Male
Tamil
Protection
Girl/Female
Russian American Greek Latin
Protection.
Girl/Female
Tamil
Suraksha | ஸà¯à®°à®•à¯à®·à®¾
Protection
Suraksha | ஸà¯à®°à®•à¯à®·à®¾
Boy/Male
Norse
Protection.
Girl/Female
Muslim
Protection
Boy/Male
Hindu, Indian, Sanskrit
Birth; Born; Production
Girl/Female
Norse
Protection.
Boy/Male
Greek
Productive.
Girl/Female
Indian
Protection
Girl/Female
Norse
Protection.
PRODUCTION FUNCTION
PRODUCTION FUNCTION
Boy/Male
Teutonic
Oath of peace.
Girl/Female
Indian, Telugu
Born from Holly Fire
Girl/Female
Hindu, Indian, Sanskrit, Telugu
Rain; Grain
Girl/Female
Latin
Blackbird.
Boy/Male
Latin Anglo Saxon
White.
Male
Arthurian
, (Sir), son of Meliodas.
Girl/Female
Arabic, Muslim
Its in the Quran
Surname or Lastname
English
English : from the Old English personal name FriðulÄf ‘peace-survivor’.
Boy/Male
Muslim/Islamic
Prosperous
Girl/Female
Biblical
House, place of sin.
PRODUCTION FUNCTION
PRODUCTION FUNCTION
PRODUCTION FUNCTION
PRODUCTION FUNCTION
PRODUCTION FUNCTION
n.
A theory, or a policy, of protecting the producers in a country from foreign competition in the home market by the imposition of such discriminating duties on goods of foreign production as will restrict or prevent their importation; -- opposed to free trade.
n.
That which is produced, yielded, or made, whether naturally, or by the application of intelligence and labor; as, the productions of the earth; the productions of handicraft; the productions of intellect or genius.
n.
The act or process or producing, bringing forth, or exhibiting to view; as, the production of commodities, of a witness.
v. t.
The act, process, or result of reducing; as, the reduction of iron from its ores; the reduction of aldehyde from alcohol.
n.
The act of protecting, or the state of being protected; preservation from loss, injury, or annoyance; defense; shelter; as, the weak need protection.
n.
The principle of production.
n.
The act of reducing, or state of being reduced; conversion to a given state or condition; diminution; conquest; as, the reduction of a body to powder; the reduction of things to order; the reduction of the expenses of government; the reduction of a rebellious province.
a.
Having the quality or power of producing; yielding or furnishing results; as, productive soil; productive enterprises; productive labor, that which increases the number or amount of products.
a.
Bringing into being; causing to exist; producing; originative; as, an age productive of great men; a spirit productive of heroic achievements.
n.
A red crystalline nitrogenous substance or artificial production, which by reduction passes directly to indigo.
n.
The representation of something; delineation; plan; especially, the representation of any object on a perspective plane, or such a delineation as would result were the chief points of the object thrown forward upon the plane, each in the direction of a line drawn through it from a given point of sight, or central point; as, the projection of a sphere. The several kinds of projection differ according to the assumed point of sight and plane of projection in each.
n.
Agency; influence; production of effects.
n.sing. & pl.
The act of production; generation.
n.
Production.
n.
Reduction.
n .
Cell production or development; cytogenesis.
a.
Contributing to, or concerned in, propagation or production; generative; procreative; productive.
n.
The act of lengthening out or prolonging.
n.
The production of offspring by the union of parents of different sexes; sexual reproduction; -- the opposite of agamogenesis.
n.
The production of branchlike figures.