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Theory of production and cost in relationship between input and outpu under the given technologies.
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In economics, the theory of production and cost states that the cost of a product is determined by the sum total of the cost of all the resources that went into making it. There are multiple factors to be considered when determining the cost of a product.
Once market forces decide demand and supply, the firm will need to make decisions about production. Theory of Production relates to the mix of the factors of production and how to utilize these factors to maximum effect.
Factors of production- Land , Labour , capital , enterprise
FIXED INPUTS AND VARIABLE INPUTS Fixed Inputs- They are the inputs whose quantity is constant for some period of time or constant for short run production function. Typically fixed input will include land and machinery, it may also include certain type of labour.
Variable Inputs :- These are inputs whose quantity can vary, even in the short run or for short period of time. Example of these input are labor energy fuel etc.
A fixed input remains fixed up to a certain level of output whereas a variable input changes with change in output.
PRODUCTION FUNCTION
1. Short run Production Function
2. Long run production function
LONG RUN PRODUCTION
In the long run, however, all the inputs used by the firm, the variable inputs and the so called fixed inputs, all are variable quantities and the firm’s production is a function of all these inputs. This functional relation of dependence between all the inputs used by the firm and the quantity of its output is called the long run production function of the firm.
Thus in long run , production of goods can be increased by employing both , variable and fixed factors.
PRODUCTION FUNCTION
A production function gives the technological relation between quantities of physical inputs and quantities of output of goods.
It can be expressed as
Q = f (K , L)
THE LAW OF PRODUCTION
In the short run , input-output relations are studied with one variable input , while other inputs remains constant. The law of production under these assumptions are called Law of variable Proportion.
In the long run input output relations are studied assuming all the input to be variable. The long run input output relations are studied under law of returns to scale.
Law of variable proportions occupies an important place in economic theory. This law examines the production function with one factor variable , keeping the quantities of other factors fixed. In other words, it refers to the input-output relation when output is increased by varying the quantity of one input.
TP increases at the increasing rate till the employment of 3rd^ labour. Afterwards it is facing law of diminishing return
1 st^ Stage- TP , MP ,AP is increasing at increasing rate. This stage continues up to the point where AP is equal to MP.
2 nd^ Stage- TP continues to increase but at a diminishing rate. As the MP at this stage starts falling , the AP also declines. This stage ends where TP become maximum and MP becomes zero.
3 rd^ stage- The MP becomes negative in this stage. TP also declines
INCREASING RETURN TO SCALE
Increasing returns to scale or diminishing cost refers to a situation when all factors of production are increased, output increases at a higher rate. It means if all inputs are doubled, output will also increase at the faster rate than double. Hence, it is said to be increasing returns to scale. This increase is due to many reasons like division external economies of 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.e. labour and capital.
Diminishing returns to scale has been shown. On OX axis, labour and capital are given while on OY axis, output. When factors of production increase from Q to Q 1 (more quantity) but as a result increase in output, i.e. P to P 1 is less. We see that increase in factors of production is more and increase in production is comparatively less, thus diminishing returns to scale apply.
CONSTANT RETURN TO SCALE
Constant returns to scale or constant cost refers to the production situation in which output increases exactly in the same proportion in which factors of production are increased. In simple terms, if factors of production are doubled output will also be doubled.
Economies is greater than diseconomies – increasing return Economies is less than diseconomies – diminishing return Economies is equal to diseconomies – constant return to scale
