# Introduction of production function. What is Production Function? 2022-10-22

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A production function is a mathematical representation of the relationship between inputs and outputs in the production of a good or service. It specifies the maximum output that can be obtained from a given set of inputs, given the state of technology. The production function is a key concept in economics and is used to analyze how firms make production decisions and how they can increase their efficiency.

There are various types of production functions, but the most common is the short-run production function, which assumes that at least one input is fixed while the others are variable. The short-run production function can be written as Q = f(L, K), where Q is the output, L is the variable input (usually labor), and K is the fixed input (usually capital).

The shape of the production function is determined by the law of diminishing returns, which states that as more of a variable input is added to a fixed input, the marginal product of the variable input eventually decreases. This is because the fixed input becomes increasingly overloaded, and the variable input is unable to contribute as much to the production process.

The long-run production function, on the other hand, assumes that all inputs are variable and can be adjusted to meet the desired level of output. The long-run production function is written as Q = f(L, K), where both L and K are variable inputs.

The production function is an important tool for analyzing the efficiency of a firm's production process. If the firm is producing at a point inside its production function, it means that it is not using all of its inputs efficiently and could increase its output by using its inputs more efficiently. On the other hand, if the firm is producing at a point outside of its production function, it is impossible for the firm to increase its output, regardless of how efficiently it uses its inputs.

In summary, the production function is a mathematical representation of the relationship between inputs and outputs in the production process. It is used to analyze how firms make production decisions and how they can increase their efficiency. Understanding the production function is essential for analyzing the efficiency and competitiveness of firms in the marketplace.

## Production Function, Features and Types of Production Functions Now, it's really worth noting that was just for this example. By reducing the amount of fixed capital inputs, the production function will shift down. Thus the stage of diminishing returns is the optimum and the best stage of production. What are the features of Production Function? In our example, the first worker will be able to harvest the most because he has access to all the available resources without being limited by other co-workers. In all of these processes, producing one more unit of output will eventually cost increasingly more, due to inputs being used less and less effectively.

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## Production Function: Meaning and Types Raw materials, machines, equipment, specialized workers are a few examples of the specificity of factors of production. The aim of the producer is to maximize his profit. These operations require more and more units or labour and capital, thereby increasing the costs in proportion to the output obtained. Therefore, the best product combination of the above three inputs — cloth, tailor, and industrial sewing machine- is required to maximize the output of garments. It is a short-run philosophy. Production function table As mentioned before, the production function shows the relationship between the quantities of inputs and outputs of a company. An analysis of the Table shows that the total, average and marginal products increase a maximum and then start declining.

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## Production Function Examples It requires three types of inputs for producing the designer garments: cloth, industrial sewing machine, and tailor as an employee. Also, producers and analysts use the Cobb-Douglas function to calculate the aggregate production function. In the basic production function inputs are typically capital and labor, though more expansive and complex production functions may include other variables such as land or natural resources. And it's going to be equal to, and I'm gonna write this as, well, I'm gonna make our production function as being the minimum of several values. Production and Productivity as Sources of Well-being.

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## Production Function For example, consider the following hypothetical relationship between fertilizers used and the total yield of wheat. Input level is measured along the horizontal axis and the total output upon he vertical axis. At a later stage, we shall see that analysis pertaining to one input can be easily extended to over other inputs also. In the case, that there are more than two variables, or even if there are only two variables, we can keep one variable changeable while other variables are fixed. So, the short run may have fixed capital and variable labor costs, and in the long run both labor and capital would be variable flexible.

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## 9.1: The Production Function It is the example of place changing production and the value of sugar will be higher to those who are not diabetic patients than who are. Here in this example, the farm's inputs are the land, the machinery, and the labor. And the output is the number of apples it produces. This model has also been shown to predict a 28% decrease in output for a 99% decrease in energy, which further supports the revision of this model's assumptions. Assuming that maximum output is obtained from given inputs allows economists to abstract away from technological and managerial problems associated with realizing such a technical maximum, and to focus exclusively on the problem of economic choice of how much of a factor input to use, or the degree to which one factor may be substituted for another. Production is the result of co-operation of four factors of production viz.

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## Production Function and Its Aspects (With Diagram) In brief, a production function is a graph or a table or an equation showing the maximum output that can be produced with the help of inputs. It is the substitutability of the factors of production that provides rise to the laws of variable proportions. In this sense production is a process of creation of utility on goods and services. A production function shows costs for using inputs and revenues for output sold. In production function gives the technological relation between quantities of physical inputs and quantities of output of goods. Factory Production: Manufacturing companies use their production function to determine the optimal combination of labor and capital to produce a certain amount of output. For, in this stage, total product starts declining and the marginal product becomes negative.

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## What is Production Function? Meaning, Definition, Factors In the crux or gist, production is a process using inputs in order to produce goods and services. It is called the law in its general form, which states that if the proportion in which the factors of production are combined is disturbed, the average and marginal product of that factor will diminish. What is the relation between total product and marginal product? It can be found by taking the derivative of the production function in terms of the relevant input. Or a function shows a cause—and—effect relationship. The following table shows this type of production function.

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## Production Function: Definition & Formula But to get a new toaster, let's say these are special toasters, and you gotta order them and it takes a month. Now, what does that mean in our bread toasting example right over here? In the short run, economists assume that the level of capital is fixed. One of the important production functions based on empirical hypothesis is the Cobb-Douglas production function. Let's say that we're trying to make a bread toasting operation. The production function as determined by technical conditions of production is of two types: it may be rigid or flexible.

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## What is Production Function? However, all these factors of production are not completely specialised as they can also be used in the production of other products. So we could do 24 times the number of toasters, times the toasters. This reveals that in the production process none of the factors can be ignored and in some cases ignorance to even slightest extent is not possible if the factors are perfectly specific. Cost Curves in the Short Run: Both marginal cost and average cost are U-shaped due to first increasing, and then diminishing, returns. In other words, the average product is the average of the total product per unit of inputs. The basis of input demand theory is indeed the theory of production. The tailor can use these sewing machines to produce upto five pieces of garment every 15 minutes.

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