# Questions tagged [production-function]

A function whose value is the produced quantity associated with a given vector of factor inputs. The production function represents the technology available to the firm.

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### Marginal and Average costs for constant returns to scale production function being constant

Suppose that we are dealing with a production function $q = f(k,l)$, of inputs capital and labor. If this function exhibits constant returns to scale then I know that both the marginal cost and ...
1 vote
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### The consideration of export in calculating national income

Is export/imports a part of factor income i.e returns from the act of production? If not, then here is my counter argument. Export is the equivalent value which is added to the goods when it is ...
1 vote
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### What could a negative output elasticity of an input imply?

Output elasticity of an input means (consider the non-calculus formulation) the percent change in output for a percent change in input (it is customary to substitute “change” with “increase”). Let’s ...
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### Modelling the optimal mix of labour

I am trying to model the profit maximization decision of a firm that uses two types of labor, workers A and workers B. I started by drawing the marginal product and marginal cost curves (lines, for ...
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### Where does the optimal point of production occur in the graph of short-run cost curves?

When MC, ATC, AVC, and AFC are in the same diagram, where does the optimal point of production occur? I know production is optimal when MR=MC but the question doesn't give you the price of the good. ...
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### Help with Solow model

I need help with the following question, I would really appreciate any help. For the general case of any production function, the differential equation for k(superscript dot) looked as follows: k(...
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### relation between elasticity of substituion and mrts

elasticity of substituion has been defined as the as the percentage change in capital labour ratio given change in mrts. but mrts itself tries to explain how a change in labour results in a change in ...
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### how is output elasticity different from marginal product of a factor input?

marginal product has been defined as the addition to total product given the employment of one more unit of a factor input. output elasticity has been defined as the percentage change in output given ...
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### Connection between roundabout production and decreasing returns to scale?

I've heard the statement that roundabout production as in Basu 1995 leads to decreasing returns to scale in production. What is the connection between the two?
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### Leontief function nested in a cobb-douglas function for a computable general equilibrium

I am currently trying to build a CGE model, and I'm stuck with the specification of the agriculture sector. I'm trying to understand how to do nested production functions and also how to solve them. I ...
1 vote
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### Why is the Hicksian form of the CES demand used in CGE model forms rather than the Marshallian

I am curious to know why the Hicksian form of the CES is used in CGE models rather than the Marshallian form. I have a few hypotheses, but I am not sure which one is correct. If any? Hypothesis 1: In ...
1 vote
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### Stata command for Dynamic Panel Production Function estimation

Consider a production function to be estimated, $$(*) y_{it} = \beta_0 +\beta_k k_{it} +\beta_l l_{it} + a_i +\omega_{it} +\varepsilon_{it}$$ where $\omega_{it}=\rho\omega_{i,t-1}+\xi_{it}$. The ...
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### Solve long run production function of a firm using technical rate of substitution

I don't understand the solution to a question which deals with the long run production function of a firm. The question is: Suppose a firm has a production function $f(x_1, x_1) = x_1^{0.5}x_2^{0.5}$, ...
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### Is there a standard term for the elasticity of an isoquant?

Isoquants - the level sets of a production function $f$ - are very useful in microeconomics. For example, if we hold all but two inputs fixed, then the isoquant is a plane curve that quantifies the ...
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### Isn't producer surplus less important due to the Marginal Utility of money not being factored in?

The demand curve is a good model to find of utility because it takes marginal utility of the good into account. However, the supply curve is based on marginal cost of production and marginal revenue ...
1 vote
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### Total factor productivity (TFP) estimation in R via estprod package

good morning I am trying to calculate the total factor productivity (TFP) for companies in the manufacturing industry through the Levinsohn-Petrin model. To do so, I use the prodest package in R. ...
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### TFP and the residual with prodest() package in r

I am estimating a firm level production function in R and I am using the prodest() package, which is the equivalent of the prodest package in Stata, written by the ...