# Law of increasing returns to scale. The Law of Diminishing Marginal Returns 2019-01-07

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## What is the difference between law of returns and returns to scale?

All these physical factors tend to raise per unit cost. 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. Returns to scale refers to that quantity of output obtained due to a change in the proportion of all the inputs. We know from before that concavity is sufficient for diminishing marginal productivity. When production is carried after a particular stage, the firm faces diminishing returns to scale. The optimal combination of inputs can be derived from the technique of isoquant and isocost line.

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## The Law of Returns to Scale

In this case, there is no economy of scale. Critical Differences to note: 1. By schedule we have taken A, B, C, D and E points in the figure above. This situation arises when after reaching a certain level of production, economies of scale are balanced by diseconomies of scale. Production can be increased by changing one or more of the inputs.

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## The Law of Diminishing Marginal Returns

The firm increases its scale of production by using more space, more machines and labourers as a input in the factory, to meet a long-run change in demand. If 20 percent increase in labour and capital is followed by 10 percent increase in output, then it is an instance of diminishing returns to scale. Efficiency of labour and capital c. It can be found by taking the derivative of the production function in terms of the relevant input. Specialization reflects, then, the advantage of large scale production over small scale. Caimcross gives a five-fold classification of technical economies. Suppose we want to produce apples.

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## The Production Function

However, it can be shown that under constant returns to scale, quasi-concavity does imply diminishing marginal productivity. Causes Of Decreasing Returns To Scale : Like increasing returns, constant returns is also a temporary phenomenon. Internal Economies are internal to a firm when it expands its size or increases its output. The long run produc­tion function pertains to the changing scale of production. This is known as returns to scale. Important factors that determine diminishing returns are managerial inefficiency and technical constraints.

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## What is the difference between law of returns and returns to scale?

This is governed by Law of Decreasing Returns to Scale. The average product and marginal product columns are derived from the total product column. The main cause of the operation of diminishing returns to scale is that internal and external economies are less than internal and external diseconomies. For example, suppose a firm has increased its labour from 5 to 10, land from 50 square feet to 75 square feet and invested additional capital of 2,000. Technically speaking, then, only constant and increasing returns can make sense; decreasing returns are harder to accept. The way total output changes due to change in the scale of production is known as returns to scale. A production function relates the input of factors of production to the output of goods.

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## The Production Function

It finally took 50 horses for pulling the new plough. Causes of Increasing Returns to Scale: a. The long-run production function is shown in terms of an isoquant such as 100 Q. Economies of Scale: Internal and External Economies An economy of scale exists when larger output is associated with lower per unit cost. Thus, quasi-concavity combined with constant returns to scale yields concavity.

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## Decreasing Returns to Scale

When labour and capital increases from Q to Q 1, output also increases from P to P 1 which is higher than the factors of production i. Unhealtny management and organization f. Chamberlin returns to scale in the initial stages increases due to the fact that the firm can introduce the specialization of labour and machinery. For example, if input is increased by 3 times, but output is reduced 2 times, the firm or economy has experienced decreasing returns to scale. A function F is homothetic if it is itself a monotonic transformation of a homogeneous function. These laws can be illustrated with an example of agricultural land. As changes in the output is more than the change in input.

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## Production Function: Law of Variable Proportions and Law of Returns to Scale

In other words, the specialized tasks available at large scale are not available at the smaller scale; consequently, as the scale of production increases, these indivisibilities are overcome and thus methods not previously available become available. Although there are other ways to determine whether a production function is increasing returns to scale, decreasing returns to scale, or generating constant returns to scale, this way is the fastest and easiest. Most production functions include both labor and capital as factors. Inputs are typically subject to the law of diminishing returns: as the amount of one factor of production increases, after a certain point the marginal product of that factor declines. The three possible outcomes are: increasing returns to scale, decreasing returns to scale, and constant returns to scale. Causes of Diminishing Returns to Scale : Constant returns to scale is only a passing phase, for ultimately returns to scale start diminishing.

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