Production Functions and Law of Economies
We can say that production is an activity which transforms the input into output. For example, there is need of labour and machinery to manufacture car. It is the technical aspect between input and output. The function of production express the relationship between quantity of output produced and quantity of input required. Production function can be expressed as:
Q = f (L,K)
L = Labour
K = Capital
Q = Output
Production function has four ways:
Law of variable proportion:
We can understand it as:
Total Product (TP), which is produced by a firm; Average Product (AP), it is the divided quantity of variable factors which is used to produce.
AP = TP/Q
AP = Average Product
TP = Total Product
Q = Number of Variable Factors
Marginal Product (MP) – Law of variable proportion is also known as law of diminishing returns. When variable factors are increased in equal doses, keeping the fixed factor constant, the total product will increase.
Law of Variable Proportion is an old economic principle, which was the firs redefined version of Marshall. Most of the examples of production function involve manufacturing sectors and agriculture.
Law of Return to scale:
It is known as long run production function also. The Law of Returns to Scale will show the change in the output when all the factors of production are increased together. It describes the relationship between output and scale of input.
Law of Economies of Scale:
It exists when larger output is associated with low per unit cost. It has been divided into two economies – Internal Economies and External Economies.
At last, economies of scale exist when large output is associated with low per unit cost. Economies of scale have two parts, internal and external economies of scale. Dis-economies of scale arise to a firm beyond optimum level, as the firm may face problem like lack of co-ordination, management, marketing etc. Economies of scope are decline in the average cost due to change in the product mix of output. A production process becomes chapter when there are more than one products produced instead of one as there is more efficiency in distribution of making.
