Leontief production function

Leontief production function - Wikipedi

  1. ed) proportions, as there is no substitutability between factors
  2. Die Leontief-Produktionsfunktion, benannt nach Wassily Leontief, ist ein Typ (Typ B) der mikroökonomischen Produktionsfunktion. Sie wird als linear limitational bezeichnet, da die Produktionsfaktoren in einem festen Verhältnis zueinander und in einem festen Verhältnis zum Ausstoß (Output) eines Betriebes oder einer Anlage stehen
  3. PRODUCTION FUNCTIONS & ISOQUANTS: LINEAR PRODUCTION FUNCTIONS. The most basic is the Linear Production Function. Here, output is a simple function of... COBB-DOUGLAS PRODUCTION FUNCTION. The classical production function is commonly termed the Cobb-Douglas Production... LEONTIEF PRODUCTION FUNCTION..
  4. Die Leontief-Produktionsfunktion als Formel: y = f (x 1, x 2) = m i n { x 1 a, x 2 b } Dabei sind x 1 und x 2 die Inputfaktoren, y ist der Output und a und b sind Produktionskoeffizienten
  5. Leontief production function, evolved by W. Wassily Leontif, uses fixed proportion of inputs having no substitutability between them. It implies that if the input-output ratio is independent of the scale of production, there is existence of Leontief production function. It assumes strict complementarity of factors of production
  6. Leontief-Produktionsfunktion mathematisch einfachster Grundtyp von Produktionsfunktionen. Die nach Wassily Leontief benannte Produktionsfunktion ist outputorientiert formuliert und geht von einer Limitationalität der Einsatzgüter aus
  7. Production Functions Linear Production Function. Where P is total product, a is the productivity of L units of labor, b is the productivity... Fixed-Proportion (Leontief) Production Function. The fixed proportion production function is useful when labor and... Cobb-Douglas Production Function. The.

2.2 Perfect Complements (Leontief) A Leontief production function is given by f(z1;z2) = minffiz1;flz2g The isoquants are shown in flgure 2. These are L{shaped with a kink along the line fiz1 = flz2. This production function exhibits constant returns to scale. 2.3 Perfect Substitutes With perfect substitutes, the production function is given b Browse other questions tagged production-function leontief or ask your own question. Featured on Meta State of the Stack Q1 2021 Blog Post. Stack Overflow for Teams is now free for up to 50 users, forever. Related. 1. Finding economy's factor price for perfect complement production function . 1. Substitutive or supportive factors of production. 11. Solow Model: Steady State v Balanced Growth. Now, let's figure out expressions for the total steel needed for production of more steel and lumber. These are going to depend on \(x\) and \(y\), since \(x\) and \(y\) represent the amount of steel and lumber we're producing. Well, the problem tells us that it takes 0.1 units of steel for each unit of steel, and 0.2 units of steel for each unit of lumber This Demonstration studies the Leontief production function of the form in three dimensions. The main feature of the function is that it models the situation when production factors and are perfect complements to each other. Contributed by: Timur Gareev (May 2018) Open content licensed under CC BY-NC-S Constant Elasticity of Substitution (CES) production function. It encompasses the Cobb-Douglas, the Leontief and the Linear production functions as its special cases. Two mutually interrelated difficulties with the CES production function came to light very soon. The first is in the constancy of the elasticity of substitution (betwee

Leontief-Produktionsfunktion - Wikipedi

  1. Dieses sogenannte Leontief-Paradoxon wurde erst in den sechziger Jahren aufgelöst. Nach Leontief ist die Leontief-Produktionsfunktion benannt. Er soll weiterhin das Paradies-Paradoxon formuliert haben und verbesserte wie auch Abba P. Lerner die Berechnungen Wilhelm Launhardts zum Terms-of-Trade-Effekt
  2. In most Microeconomics textbooks it is mentioned that the Constant Elasticity of Substitution (CES) production function, Q = γ[aK − ρ + (1 − a)L − ρ] − 1 ρ (where the elasticity of substitution is σ = 1 1 + ρ, ρ > − 1), has as its limits both the Leontief production function and the Cobb-Douglas one
  3. The Leontief model is a model for the economics of a whole country or region. In the model there are n industries producing n di erent products such that the input equals the output or, in other words, consumption equals production. One distinguishes two models: open model: some production consumed internally by industries, rest consume
  4. The cubic production function in equation7 is shown in figure 5. PRODUCTION FUNCTIONS 5 FIGURE 2. Cobb-Douglas Production Function 5 10 15 20 x1 5 10 15 20 x2 0 10 20 fHx1,x2L FIGURE 3. Contoursof a Cobb-Douglas Production Function 5 10 15 20 25 30 5 10 15 20 25 30 Notice that the function first rises at an increasing rate, then increases at a de-creasing rate and then begins tofall until it.
  5. The CES production function is a neoclassical production function that displays constant elasticity of substitution. In other words, the production technology has a constant percentage change in factor (e.g. labour and capital) proportions due to a percentage change in marginal rate of technical substitution

Leontief Production Function|Fixed Proportion Production Function|What is Leontief Production Functi - YouTube Substitution (CES), (ii) the Generalized Leontief, (iii) the translog, (iv) the Normalized Quadratic and (v) the Konüs Byushgens Fisher functional forms. The applications of GDP functions and joint cost functions to various areas of applied economics is explained. Keywords Production theory, duality theory, cost functions, production functions, joint cost functions, national product functions.

Understanding the Leontief Production Function (LPF

The Leontief Production Function as a Limiting Case of the CES* LASZLO CSONTOS and SUBHASH C. RAY Department of Economics, University of Connecticut, Storrs CT'06269, USA Abstract In this note we provide a derivation of the Leontief production function from the CES Our derivation is in the same spirit as the derivation of the Cobb Douglas form. JEL Classification : D24 Two important limiting. In this video, I discuss how we solve the consumer's maximization problem when she has a Leontief utility function Theorem: A Generalized Leontief Production Function W. E. Diewert University of Chicago and University of British Columbia The paper indicates how the Shephard duality theorem may be utilized in order to obtain a system of derived demand equations which are linear in the technological parameters, thus facilitating econometric estimation. This theorem states that technology may be equivalently.

Leontief-Produktionsfunktion VWL - Welt der BW

  1. {z 1, z 2} (one worker and one machine produce one unit of output). An isoquant and possible isocost line are shown in the following figure. To produce y units, the firm wants to use y units of each input, no matter what the input prices are. Thus the conditional input.
  2. Learn more at Industry Leontief Production Functions in IMPLAN. For example, if $100 of Commodity X is produced by three Industries (Industry A, $50; Industry B, $30; Industry C, $20) their respective Market Shares would be 50%, 30% and 20%. Market Shares are often used during impact analysis to distribute the total demand for a Commodity among the Industries and Institutions that produce it.
  3. Die Leontief-Produktionsfunktion ist nach Wassily Leontief benannt und vom Typ B. Die Produktionsfaktoren stehen in einem festen Verhältnis zueinander und in einem festen Verhältnis zum Output.Das bedeutet, dass die Ausbringungsmenge eine Limitation erreicht, wenn die Produktionsfaktoren nicht in ausreichendem Maße zur Verfügung stehen (siehe linear-limitationale Produktionsfunktion)

3 Types of Production Functions - Explained! 1. Cobb-Douglas Production Function: Cobb-Douglas production function refers to the production function in which one... 2. Leontief Production Function: Leontief production function uses fixed proportion of inputs having no substitutability... 3. CES. Knowing the Production Function represents 100% of the distribution of total Output for a Industry, this regional Value Added Coefficient is used to adjust the National Spending Patterns so that the sum of the coefficients allocated to each Commodity purchase, Total Gross Absorption, plus the Value Added Coefficient, equals 100%, while maintaining the ratio of the Commodity purchases to one another For the Leontief production function, v = 1 due to constant returns to scale and a = 0 implying p = oo . Under CRS, the ACMS production function becomes: y = A[2d, xt?]- -j. (I') Dividing both sides of (1') by A and taking natural logs, we get-H?? I? (S?*rt (3) Define p{j>) = ? In (S d? xf) and q{p) a p. Thus

Leontief technology that says, for each unit of labor, take k * units of capital. Follow these instructions [omitted], and you will get out y * units of output. The values k * and y * are parameters of this production technique. * I am grateful to Daron Acemoglu, Susanto Basu, Francesco Caselli, Harold Cole, Xavier Gabaix, Douglas Gollin, Peter Klenow, Jens Krueger, Michael Scherer, Robert. Finally, the Leontief production function applies to situations in which inputs must be used in fixed proportions; starting from those proportions, if usage of one input is increased without another being increased, output will not change. This production function is given by Q=Min(K,L). Fo The production function for a no-substitute case can be written as: Y = min (K/v, L/u) which is also referred to as a Leontief production function - as this form was introduced by Wassily Leontief (1941). Notice that if K is at K* and L is at L ï½¢, then K*/v < L ï½¢ /u Again via duality, the generalized Leontiefcost function is given by (4.52)C=Y*[∑i∑jβij(pipj)1/2], where βij= βji(by Young's theorem—or the symmetry of second derivatives)8and i, j= 1, , n. Differentiating Equation (4.52)with respect to piyields optimal, cost-minimizing input demand functions, which are given b

production function cannot generally be used to identify features of interest from the gross output production function. Applying our approach to plant-level data from Colombia and Chile, we find that a gross output production function implies fundamentally different patterns of productivity heterogeneity than a value-added specification 1.3 The Utility Function Definition 1.3.1. A real-valued function u: X→ R is called a utility function representing the preference relation iff ∀x,y ∈ X, u(x) ≥ u(y) ⇔ x y. Example 1.3.1. (Some Utility Functions) (1) Cobb-Douglas: u(x) = xα1 1 x α2 2 ···x αL L with αℓ >0,∀ℓ→ continuous, strictly mono-tone, and strictly convex in RL ++ (2) Linear: u(x) = PL ℓ=1.

3 Types Of Production Functions: Cobb Douglas, Leontief, CE

D. Diewert (Generalized Leontief) Production Function The three factor Diewert production function is: q^1/nu = aLL * L + aKK * K + aMM * M + bLK * L^1/2 * K^1/2 + bLM * L^1/2 * M^1/2 + bKM * K^1/2 * M^1/2 = f (L,K,M) where L = labour, K = capital, M = materials and supplies, q = product, and nu = elasticity of scale parameter Leontief, founder of modern Input-Output analysis, stated (as the Classics and Walras) that the main object of input-output is to describe economic reality as closely as possible. Leontief also claimed that this goal might be reached if there is a reciprocal connection between the theoretical conception of input-output and its empirical treatment. Walras formulated the first mathematical model of genera When they go further than corn economy models, they employ a so-called Leontief production function , in which the ratio between capital and labour is fixed in each industry, though it varies.. is among the most commonly used in economics. It illustrates the case where commodities are perfect complements. Wassily Leontief, Laureate of the Nobel Memorial Prize in Economic Sciences in 1973, introduced its functional form in the early 1930s for a production function rather than a utility function (Leontief 1941; Dorfman 2008)

Leontief-Produktionsfunktion - Wirtschaftslexiko

the extreme case of fixed proportions or Leontief (1941) technology, Y = min(aK,bL)where a,b>0 (2) The production functions that we have examined so far have been quite generic. In order to generate testable predictions, it is necessary to impose some further restrictions. Following Barro and Sala-i-Martin (2004), we define a production function of the form Y = f(K,L,A), where K is. The Leontief production function: Multiple Choice. a. implies inputs are used in variable proportions. b. implies inputs are used in fixed proportions. c, is Q = max{bK, cL}. d. is Q = aK + bL Input-output isoquants are L-shaped curve [Figure-8.6 (b)] and also known as Leontief isoquants. They assume a perfect complementary nature between factors implying zero substitutability. Factors are jointly used in a fixed proportion. It means that there is only one method of production to produce a commodity. Hence, to increase output, both factors are to be increased holding the proportion.

Produktionsfunktion Definition. Eine Produktionsfunktion erklärt den Zusammenhang zwischen den Inputs und den daraus realisierbaren maximalen Output einer Unternehmung. Man möchte mit der Funktion das bestmögliche Verhältnis zwischen den eingesetzten Produktionsfaktoren bestimmen, um die optimale Produktionsmenge herauszufinden.. Die Produktionsfunktion gibt in der VWL die Transformation. LEO.org: Ihr Wörterbuch im Internet für Englisch-Deutsch Übersetzungen, mit Forum, Vokabeltrainer und Sprachkursen. Natürlich auch als App Get the free Leontief Model Assist widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha

Understanding the Leontief Production Function (LPFTechnology and Substitution

2 The papers by Diewert (1971) on the Generalized Leontief function, and by Hanoch ( 1969) on the CRESH production function provide two recent examples, to which others could easily be added. 3 Examples are the CES production function in contrast with the Cobb-Douglas and the Diewert forms. 4 The adaptations of the CES function by Revankar (1968) and Hildebrand and Liu (1965) are illustrations. This page is based on the copyrighted Wikipedia article Leontief_production_function (); it is used under the Creative Commons Attribution-ShareAlike 3.0 Unported License.You may redistribute it, verbatim or modified, providing that you comply with the terms of the CC-BY-SA

Beispiele hierfür sind etwa die Leontief-Produktionsfunktion oder auch die Cobb-Douglas-Produktionsfunktion. Sie haben durchgehend eine Skalenelastizität von 1. Und bei jeder Vervielfachung des Inputs vervielfacht sich der Output um die gleiche Menge. Diese Produktionsfunktionen werden homogene Produktionsfunktionen genannt. Für konstante Skalenerträge ist die Produktionsfunktion linear. Finally, the Leontief production function applies to situations in which inputs must be used in fixed proportions; starting from those proportions, if usage of one input is increased without another being increased, output will not change. This production function is given by Q=Min(K,L). For example, a firm with five employees will produce five units of output as long as it has at least five. production function specification to represent the underlying process technology (Vaneman and Triantis, 2007). In this context, input - output analysis has been widely used as an analytical tool since its development (Sharp and Perkins, 1973). In fact, the Leontief input-output model is probably the most well-known and most often used static model of the structure of a national economy. An Leontief Input-Output Model studies interaction between difierent sectors of economics. An assumption that we will make is that everything produced is consumed, and that supply always equals demand. EXAMPLE 2. A company has two interacting branches, (A) and (B). Branch (A) consumes $0:4 of its own output and $0:3 of (B)-output for every $1 it produces. Branch (B) consumes $0:2 of (A. LEOs Zusatzinformationen: Leontief production function - linear-limitationale Produktionsfunktio

Production Functions Linear vs Leontief vs Cobb-Dougla

Leontief, the famous input-output Leontief models (1937, 1944, 1949). Therefore, in such a model, it is relevant to assume, like in Walras's Theory of production in the Éléments d'économie politique pure (1874-1877), constancy of technical coefficients and thus to rule out substitutions phenomenon. However, in a generalized model of Leontief (Arrow 1951, Dantzig 1949. Question: Consider The Leontief Production Function: Y = Min {10K, L}. What Is The MPL When K 5 And L= 30? Use The Discrete Definition Of MPL: MPL = F(K,L + 1) - F(K, L) 0 1 30 10. This problem has been solved! See the answer. Show transcribed image text. Expert Answer . Previous question Next question Transcribed Image Text from this Question. Consider the Leontief production function: Y. Next, we show how the CES function nests as special cases some particular functional forms. Before we start, it is useful to note that equation (1) is equivalent to Y = A XJ j=1 jY~ j! 1; (7) where Y~ j Y j j and 1 . Our task is to find an expression for Y when i) ! 1or !1 (linear), ii) !1 or !0 (Cobb-Douglas), and iii) !0 or ! 1 (Leontief. This text aims to bridge the gap between theoretical and heavily quantitive approaches to utility and production functions. The author provides easy access to these core areas in microeconomics and also: systematically compiles the major forms of utility and production functions; explicitly illustrates these functions in chronological order; and reviews economists' responses to resolving the. Definition: The Fixed Proportion Production Function, also known as a Leontief Production Function implies that fixed factors of production such as land, labor, raw materials are used to produce a fixed quantity of an output and these production factors cannot be substituted for the other factors. In other words, fixed quantity of inputs is used to produce the fixed quantity of output. All the.

Leontief function marginal product of labor/capital

Our new production has increased by more than m, so we have increasing returns to scale. Q=K 0.3 L 0.2: Again, we increase both K and L by m and create a new production function. Q' = (K*m) 0.3 (L*m) 0.2 = K 0.3 L 0.2 m 0.5 = Q* m 0.5. Because m > 1, then m 0.5 < m, our new production has increased by less than m, so we have decreasing. Leontief may have oversimplified the production functions and failed to recognize the endowments of natural resources. With three factors of production, the HO model does not predict much. This is because the notion of abundance is well-defined, but factor intensity cannot easily be defined. Factor intensities are difficult to define in higher dimensions. (a topic for graduate students. The Cobb-Douglas, Leontief and Linear production functions are all special cases of the CES function. In 1968, Y. Lu and L.B. Fletcher developed a generalized version of the CES production function. Their variable elasticity of substitution function allowed the elasticity to vary along different levels of output under certain circumstances. Recently there have been many developments with.

Leontief function marginal product of labor/capitalKeen&#39;s model with Leontief production function and initial

The Leontief production functions shift northeasterly owing to mechanization, which is the replacement of labor inputs by capital inputs in some steps. Consequently, we describe the efficient. Leontief Production (Utility) Function published on 31 Mar 2014 by Edward Elgar Publishing Limited

Intensive Analysen der Vielfalt der Produktionssituationen haben zur Formulierung weiterer Produktionsfunktionen geführt wie z. B. Leontief Produktionsfunktion, Engineering Production Functions, Durchsetzfunktion von Pichler, Input Output nalyse Konzept von Kloock und weitere Ansätze 2. Die Leontief-Produktionsfunktion 194 3. Die Gutenberg-Produktionsfunktion 195 4. Die Heinen-Produktionsfunktion 198 5. Die Kloock-Produktionsfunktion 200 6. Die Engineering Production Functions 201 7. Zusammenfassung 201 IV. Empirische Bedeutung der Gutenberg-Produktionsfunktion im Lichte praktischer Untersuchungen 202 1. Möglichkeiten und.

How to understand and solve Leontief input-output model

The Leontief function u(x) = minxi is homogeneous of degree 1. Any monomial, a Ym i=1 xγi i is homogeneous of degree γ = Pm i=1 γi on R m +. A sum of monomials of degree γ is homogeneous of degree γ, the sum of monomials of differing degrees is not homogeneous. Additional examples of homogeneous functions include: p·x, x3/2 + 3x1/2y, √ x+ y + z x8 + 5x4y4 + 10x3y5 + 7xy7 + 13y8, Q(x. So, this production function exhibits increasing returns to scale. (b) F (L, K) = L + 3K This is the perfect substitutes production function. Isoquants are linear with a slope equal to the negative of the constant MRTS, which is 1/3 here. Isoquant: K = Q/3 − L/3. 1 Marginal products are constant for both inputs. MP. L = ∂F 2 ∂L = 1 ∂ F ∂L. 2 = 0 → constant: MP. K = ∂F 2 ∂K = 3. Given the Leontief production function Q = min{5.5K, 6.7L}, how much output is produced when K = 40 and L = 35? A. 220 B. 234.5 C. 192.5 D. 268. A. 220. Suppose the production function is given by Q = K1/2L1/2, and that Q = 30 and K = 25. How much labor is employed by the firm? A. 49 B. 6 C. 36 D. 25. C. 36. Given the production function Q = min {4K, 3L}, what is the average product of capital. A production function is a production process that produces the given input goods according to the Leontief formula to the output good. Production_functions are than used as an argument in produce, predict_vector_produce and predict_output_produce

Leontief production function where high and low skilled workers are used in constant propor-tions in a competitive market. An increase in the supply of high skilled workers in this setting e ectively creates \excess supply for a given number of unskilled workers. The excess skilled workers will either bid down wages of other high skilled workers or will become unemployed (lowering average. Leontief production function? Showing 1-2 of 2 messages. Leontief production function? Med.Arbi: 11/3/11 2:56 AM: Dear all can you please tell me how can I present a leontief function on GAMS code more precisely I need to aggregate land production factor and water production factor on land-water factor The best Leontief production function? Frank Ward: 11/3/11 8:34 AM: Dear GAMSWORLD, We've. COBB DOUGLAS PRODUCTION FUNCTION THEORY 1. By GOURAV DHOLWAL KRUPA SAGAR REDDY 2. Background Definition Equation Properties of theory Usage Criticisms 3. During 1900-1947, Charles Cobb and Paul Douglas formulated and tested the Cobb-Douglas production function through various statistical evidence. 4 leontief production function nedir ve leontief production function ne demek sorularına hızlı cevap veren sözlük sayfası. (leontief production function anlamı, leontief production function Türkçesi, leontief production function nnd The Leontief Production Function as a Limiting Case of the CES, Indian Economic Review, Department of Economics, Delhi School of Economics, vol. 27(2), pages 235-237, July. Handle: RePEc:dse:indecr:v:27:y:1992:i:2:p:235-237. as Download full text from publisher. To our knowledge, this item is not available for download. To find whether it is available, there are three options: 1. Check below.

Leontief Production Function - Wolfram Demonstrations Projec

Efficient Frontier via Production Functions and Mechanization. Hideki Nakamura. American Journal of Operations Research Vol.7 No.1,January 19, 2017 DOI: 10.4236/ajor.2017.71004 1,297 Downloads 1,888 Views . A Generalization of the Input-Output Pollution Control Model and Product Selection. Aniekan Ebiefun Domar-Leontief production function, which is based on the assumption that there is no substitutability between factors, and the Cobb-Douglas production function, which assumes unitary factor substitution elasticity. Since the introduction of the CES production function in 1956, a multitude of extensive studies on the elasticities of substitution between production inputs have been published.

Wassily Leontief - Wikipedi

leontief production function in a sentence - Use leontief production function in a sentence 1. Assuming each car is produced with 4 tires and 1 steering wheel, the Leontief production function is 2. In economics, the 'Leontief production function 'or 'fixed proportions production function 'is a production function that implies the factors of production will be used in fixed. production function (e.g. Leontieff) There might not be an interior solution for the problemy. This is typically caused by non-negativity constraints (x 0) In general, the conditions to handle the boundary solutions in case of non-negativity contraints (x 0) are the following: p@f(x) @x i w i 0 if x i = 0 p@f(x) @x i w i = 0 if x i >0 These are the so-called Kuhn-Tucker conditions (see Alpha. Leontief technology A production function in which no substitution between inputs is possible: F(V) = min i (V i /a i), where V is a vector of inputs V i, and a i are the constant per unit input requirements. Isoquants are L-shaped. Lerner Diagram This diagram, drawn for given prices and technology, uses unit-value isoquants of two or more goods to deduce patterns of specialization and factor. of Production Functions: - they pass through the origin. Why? - initially increasing inputs increases output at an increasing rate - beyond some point, extra inputs increase output at a decreasing rate, or even decrease output - why does output increase at an increasing rate ? 19 . Figure 7.4: Another Short-Run Production Function 20 . As you add more and more students to the dodgy CD piracy.

Leontief production function - Wikipedia

How can I obtain Leontief and Cobb-Douglas production

Constant elasticity of substitution - Wikipedi

51 A Generalized Leontief Production Function • Suppose that the production function is q = f (k, l) = k + l + 2(k l) 0.5 • Marginal productivities are f k = 1 + (k / l)-0.5 f l = 1 + (k / l) 0.5 • Thus, 5. 0 5. 0) / (1) / (1 l l l k k f f RTS k. 52 Technical Progress • Methods of production change over time • Following the development of superior production techniques, the same. The production possibility frontier (PPF) is a curve that is used to discover the mix of products that will use available resources most efficiently production function with all variable input. Ø increasing return to scale . Ø Decreasing return to scale . Ø constant return to scale • Production function with 2 variable input Iso quant curve: It represent the different combination of inputs producing a particular quantity of output. Assumptio We found 10 dictionaries with English definitions that include the word production function: Click on the first link on a line below to go directly to a page where production function is defined. General (3 matching dictionaries) production function: Merriam-Webster.com [home, info] Production function: Wikipedia, the Free Encyclopedia [home, info] Production function: Dictionary/thesaurus. Wie kann ich die Produktionsfunktion von Leontief und Cobb-Douglas über die CES-Funktion beziehen? 22 . In den meisten Microeconomics-Lehrbüchern wird erwähnt, dass die Produktionsfunktion der konstanten Elastizität der Substitution (CES).

Leontief Production FunctionFixed Proportion Production

Production Function in Long Run Economic

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Almaz MUSTAFIN | DSc (Engineering) habilPPT - Chapter 9: Production PowerPoint Presentation, freeLeontief Production Function - Wolfram Demonstrations Project
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