Law of Diminishing Marginal Utility with schedule and diagram and explain its assumptions, limitations

 

Theory of consumer behavior

Introduction.  Each consumer has to face the problem of unlimited wants and limited sources. In such state of affairs it is the desire of each consumer to maximize his satisfaction in the presence of income constraint. Whenever a consumer maximizes his satisfaction, he is said to be in equilibrium. We have basically two main approaches to describe the consumer’s equilibrium:

1.     The cardinal approach

2.     The ordinal approach

The cardinal or classical or utility approach

This model of consumer behavior got the popularity in 1870 by William Stanley of great Britan. We have two laws to explain consumer’s equilibrium by

                                                         Cardinal approach.

       I.                                           I.      Law of diminishing marginal utility

                                  II.      Law of equal marginal utility 

Law of diminishing marginal utility

Before we explain this law, we clarify the meaning utility, total and marginal utility

Utility)i) .anything which reduced pain and increases pleasure has utility.

 --------ii). The power of a good to satisfy human wants.

 Example. Water has power to quench one,s thirst.

According the classical economist U=f (Q)

Moreover utility can measure into number like 1, 2, and 3, (cardinaly). They use util,  just like unit in electeriy is used.

Total utility. Utility gained by the use of total quantity is said to be total utility.

TU=f (Q) (total utility depend upon total quantity)

Marginal utility . by “marginal utility mean the net change in total utility by using an additional unit of commodity”      MU= du/dq

After this, we now introduce the law of diminishing marginal utility.

 Law of diminishing marginal utility. The more we have of any commodity or with the continuous use of any commodity; the derived marginal utility goes to fall---------------------- (if other things remain the same)

In this phenomenon is presented with the help of schedule and diagram. We have utility function U= 11Q---Q2 by assuming different value of “Q” values of TU and MU will be attained as follows.

                   Q

               U

         MU = dU/dQ

 

1

                    dQ = 1

2

 

3

 

4

 

5

 

6

 

7

            

10

                      dU= 8

18

 

24

 

28

 

30

 

30

 

28

 

             10                    

              8

 

6  


4

 

2

 

0

 

-2

     

      

MU falls

But it is

+ve

 

 

 

 

 

       TU maxi

MU=0

 

TU falls

MU= -ve

From the schedule and diagram we deduce the following:,

1) In the beginning TU increases but at the decreasing rate, hence MU decrease, but still +ve.

2)  When TU is maximum MU= zero. This situation is known as saturation point .

3) When TU fall -----------MU = negative –ve

Assumption. The law of DMU will hold true in the presence of the following assumption

1) Continues use of commodity. If there is long interval between the consumption of the same two units then law will not be applicable.

2) Unit of commodity must be similar. For example if first mango is not better and second is better, then according to the law utility will not decrease.

3) Reasonable units.  If units are so small or too large, this law will not operate its function.

4) The consumer taste should remain the same. If a consumer has been told that apple is tonic for his health, then marginal utility will increase instead of falling.

5) No change in income. If the income of a people changes then, this law may not be operated.

6) No change in fashion.  If there is sudden change in fashion, the law may not be operates.

Limitations of the law.

1. In real world it is difficult to measure utility in figure, beoz no consumer has any type of Utilometer which could represent satisfaction in util.

2. The comparison of prices and MU is very difficult.

3. Now a day the purchases are mostly made on the basis of fashion, tradition. But in the utility approach, we do not find glimpses of the above said factor.

4. In daily life consumer purchases “consumer durable” like TV, car etc, their MU cannot ascertained, then how a comparison could be made between MU and prices.

5. Utility of money not remain the same becoz when prices falls, the MU of money will rise.

 

 

 

 

 

 

 

 

 

 

 

 

 

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