# The production function gives relationship between

### Production function - Wikipedia A linear relation between the average product per worker and the wage rate implies a production function where the elasticity of substitution varies with Both functions give good fits to the observations, the logarithmic form being somewhat. ematical function that gives the maximum output attainable from a given vector of inputs. .. relationships between the production function and marginal product. employs. • Learn about production functions with a single input, points the firm gets less output from its labor than it could). Points such as C .. The relationship between marginal product and average product is the same as the relationship.

At the boundary between stage 2 and stage 3, the highest possible output is being obtained from the fixed input. Shifting a production function[ edit ] By definition, in the long run the firm can change its scale of operations by adjusting the level of inputs that are fixed in the short run, thereby shifting the production function upward as plotted against the variable input.

If fixed inputs are lumpy, adjustments to the scale of operations may be more significant than what is required to merely balance production capacity with demand. For example, you may only need to increase production by million units per year to keep up with demand, but the production equipment upgrades that are available may involve increasing productive capacity by 2 million units per year. Shifting a production function If a firm is operating at a profit-maximizing level in stage one, it might, in the long run, choose to reduce its scale of operations by selling capital equipment.

By reducing the amount of fixed capital inputs, the production function will shift down.

### Production Function: Meaning, Definitions and Features

The beginning of stage 2 shifts from B1 to B2. The unchanged profit-maximizing output level will now be in stage 2. Homogeneous and homothetic production functions[ edit ] There are two special classes of production functions that are often analyzed. According to the principle of equi-marginal returns, any producer can have maximum production only when the marginal returns of all the factors of production are equal to one another. For instance, when the marginal product of the land is equal to that of labour, capital and organisation, the production becomes maximum. Meaning of Production Function: In simple words, production function refers to the functional relationship between the quantity of a good produced output and factors of production inputs.

Watson In this way, production function reflects how much output we can expect if we have so much of labour and so much of capital as well as of labour etc.

## Production Function: Meaning, Definitions and Features

In other words, we can say that production function is an indicator of the physical relationship between the inputs and output of a firm. The reason behind physical relationship is that money prices do not appear in it. However, here one thing that becomes most important to quote is that like demand function a production function is for a definite period. It shows the flow of inputs resulting into a flow of output during some time.

The production function of a firm depends on the state of technology.

With every development in technology the production function of the firm undergoes a change. The new production function brought about by developing technology displays same inputs and more output or the same output with lesser inputs. The variation in the output resulting from different amounts labour applied to a fixed amount of capital is explained with the help of Law of Diminishing Returns or Law of Variable Proportions The long run analysis of production function is done with both the inputs L,K variable.

The aggregate production function and growth - APⓇ Macroeconomics - Khan Academy

The variation in the output resulting from different amounts of labour and capital employed is explained with the help of Law of Returns to Scale Case Study Crops can be produced using different methods.

Food grown on large farms in countries like Canada and the United States is usually produced with a capital intensive technology which involves substantial investment in capital, such as buildings and equipment, and relatively less input of labour.

However, food can also be produced using very little capital say a plough and a lot of labour several people as is done in several parts of the developing countries.

## Production function

One way to describe the agricultural production process is to show one isoquant that describes the combination of inputs which generates a given level of output. The description that follows comes from a production function for wheat that is estimated using figures. Following diagram shows one isoquant associated with the production function, corresponding to an some level output of per year.

The farmer can use this isoquant to decide whether it is profitable to hire more labour or to use more machinery. The decision about how many labourers to hire and how much machinery to employ, will depend upon the cost of each input. One of such empirical production functions is Cobb Douglas Production Function. It is intermediate between a linear and a fixed proportion production function. It was also found that the sum of exponents of Cobb-Douglas production function is equal to one. This implies that it is a linearly homogenous production function.

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