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Law of Equi-Marginal Utility Analysis:
The Law of equi-marginal utility is another fundamental principle of
Economics. This law is also known as the Law of substitution or the
Law of Maximum Satisfaction. It is also known as Gossen’s second law.
We know that human wants are unlimited whereas the means to
satisfy these wants (income) is limited. It, therefore, becomes
necessary that he spends his income in such a way that gives a
consumer maximum satisfaction. This law is one of the principles that
gives a guideline to distribute his income on different uses so that he
may maximize his total satisfaction.
• The law has been stated by Marshall in
following words: “If a person has a thing
which can be put in different uses, he will
distribute it among these uses in such a way
that it has the same marginal utility,
• Assumptions of the Law of Equi-Marginal Utility:
• 1. Consumer is rational so he tries to maximise satisfaction
• 2. The income of consumer is fixed
• 3. The prices of the goods remain constant
• 4. The marginal utility of money is constant
• 5. The utility is measurable in cardinal terms
• 6. Consumer has perfect knowledge of utility obtained from goods
• 7. Consumer has many wants
• Explanation of the Law:
• Suppose there are two goods X and Y on which a consumer has to spend a given income. The law of
equi-marginal utility states that in order to maximize total satisfaction the consumer will distribute his
income between the two goods in such a way that utility derived from last rupee spent on each good is
equal. Now the marginal utility of money expenditure on a good is equal to the marginal utility of good
divided by the price of the good. In symbols, 𝑀𝑈𝑒 = 𝑀𝑈𝑥 /𝑃x
Where MUe is marginal utility of money
expenditure; MUx is marginal utility of good X and
Px is price of good X. The law of equi-marginal
utility can therefore be stated thus: the consumer
will spend his money income on different goods in
such a way that marginal utility of each good is
proportional to its price. That is a consumer is in
equilibrium in respect of two goods X and Y when
𝑀𝑈𝑥/ 𝑃𝑥 = 𝑀𝑈𝑦/ 𝑃𝑦
Now, if 𝑀𝑈𝑥/𝑃𝑥 is not equal to 𝑀𝑈𝑦/𝑃𝑦 and if 𝑀
𝑈𝑦/𝑃𝑦 is less than 𝑀𝑈𝑥/𝑃𝑥 then the consumer
will substitute good X for good Y. As a result of this
substitution, the marginal utility of X will decrease
and that of good Y will rise. The consumer will
continue substituting X for Y until 𝑀𝑈𝑥 /𝑃𝑥 and 𝑀
𝑈𝑦 /𝑃𝑦 will become equal.
Thus the consumer will be in equilibrium when
the following equation holds good: 𝑀𝑈𝑥/𝑃𝑥 = 𝑀𝑈
𝑦/𝑃𝑦 = 𝑀𝑈𝑚
Let us illustrate the law of equi-marginal utility with the
help of a table given below: With a given income (Rs.19) of
the consumer, suppose, his marginal utility of money is
constant at Re.1 = 6 utils. Suppose the price of orange (X)
is re 2 per unit and price of mango (Y) is re 3 per unit. By
looking at Table 1.3, it is clear that, 𝑀𝑈𝑥 𝑃𝑥 is equal to 6
utils when the consumer buys 5 units of orange (X); and 𝑀
𝑈𝑦 𝑃𝑦 is equal to 6 utils when he purchases 3 units of
mango (Y). Thus, the consumer will be in equilibrium
when he is buying 5 units of orange (X) and 3 units of
mango (Y) and will be spending (Rs.2 x 5) + (Rs.3 x 3) =
Rs.19 on them.
Table 1.3: Marginal Utilities of Goods X and Y and Money Expenditure on X and Y
law of equi marginal.pptx
Limitations of the Law of Equi-Marginal Utility:
1. For applying this law, a consumer has to calculate and compare the marginal
utilities obtained from different commodities. But, consumers are generally
governed by their habits and customs and they spend on different
commodities regardless of whether the particular allocation maximizes their
satisfaction or not.
2. 2. The law assumes that all commodities are divisible into very small parts. But,
there are goods like car, dairy animal etc., which are indivisible. In such cases,
the law cannot be applied.
3. 3. This law is based on the unrealistic assumptions such as absolute
measurement of utility and constant marginal utility of money. Utility is a
mental phenomenon and it is not absolutely measurable. Again, with every
decrease in the stock of money with consumer, marginal utility of money will
not remain constant but it will increase.

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law of equi marginal.pptx

  • 1. Law of Equi-Marginal Utility Analysis: The Law of equi-marginal utility is another fundamental principle of Economics. This law is also known as the Law of substitution or the Law of Maximum Satisfaction. It is also known as Gossen’s second law. We know that human wants are unlimited whereas the means to satisfy these wants (income) is limited. It, therefore, becomes necessary that he spends his income in such a way that gives a consumer maximum satisfaction. This law is one of the principles that gives a guideline to distribute his income on different uses so that he may maximize his total satisfaction.
  • 2. • The law has been stated by Marshall in following words: “If a person has a thing which can be put in different uses, he will distribute it among these uses in such a way that it has the same marginal utility,
  • 3. • Assumptions of the Law of Equi-Marginal Utility: • 1. Consumer is rational so he tries to maximise satisfaction • 2. The income of consumer is fixed • 3. The prices of the goods remain constant • 4. The marginal utility of money is constant • 5. The utility is measurable in cardinal terms • 6. Consumer has perfect knowledge of utility obtained from goods • 7. Consumer has many wants
  • 4. • Explanation of the Law: • Suppose there are two goods X and Y on which a consumer has to spend a given income. The law of equi-marginal utility states that in order to maximize total satisfaction the consumer will distribute his income between the two goods in such a way that utility derived from last rupee spent on each good is equal. Now the marginal utility of money expenditure on a good is equal to the marginal utility of good divided by the price of the good. In symbols, 𝑀𝑈𝑒 = 𝑀𝑈𝑥 /𝑃x
  • 5. Where MUe is marginal utility of money expenditure; MUx is marginal utility of good X and Px is price of good X. The law of equi-marginal utility can therefore be stated thus: the consumer will spend his money income on different goods in such a way that marginal utility of each good is proportional to its price. That is a consumer is in equilibrium in respect of two goods X and Y when 𝑀𝑈𝑥/ 𝑃𝑥 = 𝑀𝑈𝑦/ 𝑃𝑦
  • 6. Now, if 𝑀𝑈𝑥/𝑃𝑥 is not equal to 𝑀𝑈𝑦/𝑃𝑦 and if 𝑀 𝑈𝑦/𝑃𝑦 is less than 𝑀𝑈𝑥/𝑃𝑥 then the consumer will substitute good X for good Y. As a result of this substitution, the marginal utility of X will decrease and that of good Y will rise. The consumer will continue substituting X for Y until 𝑀𝑈𝑥 /𝑃𝑥 and 𝑀 𝑈𝑦 /𝑃𝑦 will become equal. Thus the consumer will be in equilibrium when the following equation holds good: 𝑀𝑈𝑥/𝑃𝑥 = 𝑀𝑈 𝑦/𝑃𝑦 = 𝑀𝑈𝑚
  • 7. Let us illustrate the law of equi-marginal utility with the help of a table given below: With a given income (Rs.19) of the consumer, suppose, his marginal utility of money is constant at Re.1 = 6 utils. Suppose the price of orange (X) is re 2 per unit and price of mango (Y) is re 3 per unit. By looking at Table 1.3, it is clear that, 𝑀𝑈𝑥 𝑃𝑥 is equal to 6 utils when the consumer buys 5 units of orange (X); and 𝑀 𝑈𝑦 𝑃𝑦 is equal to 6 utils when he purchases 3 units of mango (Y). Thus, the consumer will be in equilibrium when he is buying 5 units of orange (X) and 3 units of mango (Y) and will be spending (Rs.2 x 5) + (Rs.3 x 3) = Rs.19 on them.
  • 8. Table 1.3: Marginal Utilities of Goods X and Y and Money Expenditure on X and Y
  • 10. Limitations of the Law of Equi-Marginal Utility: 1. For applying this law, a consumer has to calculate and compare the marginal utilities obtained from different commodities. But, consumers are generally governed by their habits and customs and they spend on different commodities regardless of whether the particular allocation maximizes their satisfaction or not. 2. 2. The law assumes that all commodities are divisible into very small parts. But, there are goods like car, dairy animal etc., which are indivisible. In such cases, the law cannot be applied. 3. 3. This law is based on the unrealistic assumptions such as absolute measurement of utility and constant marginal utility of money. Utility is a mental phenomenon and it is not absolutely measurable. Again, with every decrease in the stock of money with consumer, marginal utility of money will not remain constant but it will increase.