# Production function notes. Production Function: Definition & Formula 2022-10-16

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A production function is a mathematical representation of the relationship between the inputs used in the production process and the output produced. It specifies the maximum output that can be produced for a given set of inputs. The inputs used in the production process are known as factors of production and can include labor, capital, land, and materials. The output produced is typically measured in terms of the quantity of goods or services produced.

There are several types of production functions, including the short run production function and the long run production function. The short run production function represents the relationship between the inputs used in the production process and the output produced, taking some inputs as fixed and others as variable. The long run production function represents the relationship between the inputs used in the production process and the output produced, taking all inputs as variable.

One important concept in production function analysis is the law of diminishing returns. This states that as more units of a variable input are added to a fixed amount of other inputs, the marginal product of the variable input will eventually decline. This occurs because the fixed inputs are being used more efficiently as the variable input increases, and at some point, the additional units of the variable input will not be used as efficiently as the previous units.

Another important concept in production function analysis is the concept of returns to scale. This refers to the relationship between the percentage change in the inputs used in the production process and the percentage change in the output produced. If the percentage change in output is greater than the percentage change in inputs, then there are increasing returns to scale. If the percentage change in output is equal to the percentage change in inputs, then there are constant returns to scale. If the percentage change in output is less than the percentage change in inputs, then there are decreasing returns to scale.

In conclusion, the production function is a useful tool for understanding the relationship between inputs and output in the production process. It allows firms to analyze the efficiency of their production process and make decisions about how to allocate resources in order to maximize output. Understanding the concepts of diminishing returns and returns to scale is also important in production function analysis, as they can help firms to identify opportunities for improving efficiency and increasing output.

## Production Function: Definition & Formula Concept of Production Function Class 11 In an economy, both consumers and producers are needed for a smooth functioning. Average Production The average production is the variable factor's per unit production. Students can revise all the equations and graphs related to these costs by going through the Class 12 Microeconomics Chapter 3 notes. As more of a variable factor is employed, AP increases fast, then it falls and the point where AP is at maximum is referred to as the point of diminishing average productivity. When TP rises at an increasing rate, MP rises as well. As there is change in variable input only, the ratio between different inputs tends to change at different levels of output. This type of analysis is carried on through production function.

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## Production function In our previous example, technology could represent the creation of genetically modified apple seeds that could produce two times more apples. Again, the longer the dura­tion of abnormal demand, the greater the likelihood that some fixed costs will actually be varied. Implicit cost is the cost of self-owned resources that are employed or used in the production. It can be illustrated from the hypothetical isoquant schedule below. The study of production function is useful not for its own sake but because it answers certain questions faced by management. Managerial Use of Production Functions : 1.

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## Production and Production Function It can be explained with the help of schedule and diagram: 4. This is an important concept for the chapter and has been explained clearly in the notes with the help of graphs and equations. Short and Long Run Costs Estimation : Various attempts have been made by economi­sts and econometricians to estimate cost functions empirically. What is the relation between total product and marginal product? Technology in the production function means a technological process enables firms to increase production without changing the quantities of inputs. Let's say there is a farming company that plants apples. Average fixed cost It is the fixed cost of producing a commodity per unit. In other words, the marginal product of labor decreases when the firm uses more labor and other inputs are fixed.

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## Production Function: Short Run and Long Run Production Functions In this type of production function, output can be increased by increasing the units of L variable factor and K fixed factor remain constant. It is not relevant for our purposes here to ex­amine which of these different notions of technolog­ical progress is most realistic. Our audience are Law Students, Aspirants Of Various Competitive Examinations, Law Graduates, Eminent lawyers, Business Professionals and various Legal Firms and associates. Finally, the two set of information, those relat­ing to changes in factor productivity and to changes in factor prices, have to be combined in order to ar­rive at a tolerably accurate estimate of future costs of production. However, in the long run, the firm can vary its input to produce any quantity of output. Law Of Diminishing Marginal Returns 1. It helps to identify the strength of production for a given set of variables.

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## Production Function This includes not just land, but anything that comes from the land. In that case, we can show the relationship between the inputs the quantity of labor, the size of the land, and the machinery used and the quantity of output the quantity of apple that was produced. The AP is obtained by dividing column 2 by a corresponding unit in column 1. Notice here, for now, we are not considering the other factors of production land and machinery because we consider them as fixed inputs. These marginal products are not constant but vary with the level of usage of the inputs. Again, since most of these methods were discussed at length in connec­tion with demand forecasting, the reader will easily be able to see how to adopt them to the task of pre­dicting changes in the price level. These costs are often expressed on a per-unit basis and are illustrated in Table 15.

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## Production Function Since cost and productivity are the reciprocal of each other, AVC and MC curves are inversely related to the APP and MPP curves. It is a homothetic production function, which implies that it has a straight-line expansion path, i. In simple words, production function refers to the functional relationship between the quantity of a good produced output and factors of production inputs. The functional relationship between physical inputs or factors of production and output is called the production function. For simplicity, let's assume that the firm's factors of production are labor, land, and physical capital. Therefore, the manufacturer combines all four factors of production to technical ratios.

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## 3 Types Of Production Functions: Cobb Douglas, Leontief, CES Production Concept 1 Total product or Total physical product TP or TPP — Total product is a sum total of output produced by all units of a variable factor with some constant factors. In a linear production function, the marginal product is constant. Facts An isoquant is a locus of points joining different input combinations, capable of producing the same level of output. You will be able to answer all these questions once you read our explanation of the production function. The short-run production function is the type of production function where at least one of the inputs cannot be changed. These notes will also explain to the students the concept of average product and marginal product.

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## Concept of Production Function Class 11 Economics Notes Explicit cost is the cost incurred on purchasing and hiring the factor inputs for production. Let us now understand what is meant by short run and long run production function. For example labour, raw material etc. If an isoquant touches the X- axis, it would mean that the product is being produced with the help of labour alone without using any capital. Total Product, Marginal Product, Average Product Total Product Given the inputs and the total period of time, the total product refers to the final amount of products produced by a firm. The quantity of fixed factors remain the same in the short run irrespective of the level of output. Short Run and Long Run Production Function Before we move on to short run and long run production function, we need to first take a look at the two types of factors of production — variable factors and fixed factors.

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## What is Production Function? Meaning, Definition, Factors For example, Labour, raw material, etc. They do not vary directly with the output. It represents the different combinations of two inputs that a firm can buy for a given sum of money at the given price of each input. It can be obtained by dividing the total product by the total number of variable inputs. In the con­text of Cobb-Douglas production function, the re­quirement is that α and β be positive. In a short period of time if a firm wants to increase its total product then it can do so by increasing the variable factors of production only because fixed factors of production remain fixed and do-not fluctuate with the fluctuation in production. In the simplest case, where there are only two inputs, labour L and capital C and one output Q , the production function becomes.

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