Question

Answer the following question.
Explain the law of variable proportions with the help of a diagram.

Answer 1

Law of Variable proportion:
Law of Variable Proportions (LVP) states that as we increase the quantity of only one input keeping other inputs fixed, total product (TP) initially increases at an increasing rate, then at a decreasing rate and finally at a negative rate.

In the given diagram, the quantity of the variable factor has been measured on X-axis and Y-axis measures the total product on Y-axis. The diagram indicates, how the total product and marginal product changes as a result of increases in the quantity of one factor to a fixed quantity of other factors.

The law can be better explained through three stages -
(a) First stage :
Increasing Return to a Factor: In the first stage, every additional variable factor adds more and more to the total output. It means TP increases at an increasing rate and MP of each variable factor rises. Better utilization of fixed factors and increases in the efficiency of a variable factor due to specialization are the major factors responsible for increasing returns. The increasing returns to a factor stage have been shown in the given diagram between O to P. It implies. TP increases at an increasing rate (till point ‘P’) and MP rises till it reaches its maximum point ‘K’. which marks the end of the first phase.

(b) Second stage:
Diminishing returns to a Factor: In the second stage, every additional variable factor adds a lesser and lesser amount of output. It means TP increases at a diminishing rate and MP falls with an increase in a variable factor. The breaking of the optimum combination of a fixed and variable factor is the major factor responsible for diminishing returns. The second stage ends at point ‘S’ when MP is zero and TP is maximum (point ‘M’).
2 stage is very crucial as a rational producer will always aim to produce in this phase because TP is maximum and MP of each variable factor is positive.

(c) Third stage:
Negative Returns to a Factor: In the third stage the employment of additional variable factors causes TP to decline. MP now becomes negative. Therefore, this stage is known as negative returns to a factor. Poor coordination between variable and fixed factor is the basic cause for this stage. In fig. the third stage starts after point ‘N’ on the MP curve and point’ on the TP curve. MP of each variable factor is negative in the 3 stages. So, no firm would deliberately choose to operate in this stage.