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LAW OF EQUI-MARGINAL UTILITY
(GOSSEN’S SECOND LAW)
The Law of Equi-marginal utility is the further
elaboration of the Law Of Diminishing Marginal
Utility.
It is also known as the Law of Substitution and
the Law of maximum satisfaction, the Law of
Indifference, The Law of Economy Of Expenditure,
The Law of Equi-Marginal Returns.
2
In the words of J.R. Hicks, “the utility
will be maximised when the marginal unit
of expenditure in each direction brings in
the same increments of utility.”
3
“The house holds maximizing the utility will so
allocate the expenditure between commodities that
the utility of the last penny spent on each item is
equal.”
Formula
MUA/PA = MUB/PB = ….= MUN/PN
4
1. MARGINAL UTILITY OF MONEY REMAINS
CONSTANT.
2. CONSTANT PURCHASING POWER OF THE MONEY
3. CONSUMER IS RATIONAL.
4. NO CHANGE IN PREFERENCE, NATURE,TASTE &
FASHION OF CONSUMERS
5. MEASUREMENT OF UTILITY
6. LAW OF MARGINAL UTILITY APPLIES
7. SUITABLE UNITS
8. NO CLOSE SUBSTITUTE AVAILABLE 5
We assume that:
1. The consumer has Rs.5 with him.
2. He has to spend his income on two goods
A and B.
3. The price of each good is Rs.1 per unit.
6
Units of
money
MU of A MU of B
1 12 10
2 10 8
3 8 6
4 6 4
5 3 2
Total 39 30
7
UNITS OF
MONEY
NAME OF THE
COMMODITY
UTILITY (In
Units)
1 1A 12
2 1B 10
3 2A 10
4 2B 8
5 3A 8
5 Rs. 3A , 2B 48
8
1. IGNORANCE OF CONSUMERS
2. CUSTOMS AND FASHIONS
3. UTILITY IS IMMEASURABLE.
4. MARGINAL UTILITY OF MONEY
5. NON-AVAILABILITY OF GOODS
9
6. CHANGE IN PRICE OF GOODS
7. COMPLEMENTARY GOODS
8. INDIVISIBLE GOODS
9. CONSUMERS ARE NOT RATIONAL
10. INDEFINITENESS OF THE BUDGET
PERIOD
10
1. CONSUMPTION
2. PRODUCTION
3. EXCHANGE
4. DISTRIBUTION
11
Law of Equal-Marginal Utility
Consumer’s Equilibrium under Marshellian analysis
Condition for consumer equilibrium
MUx
/Px = MUy
/Py =MUm
Apple (A) MUA MU/PA Banana (B) MUB MU/PB
1 60 20 1 60 12
2 48 16 2 55 11
3 42 14 3 50 10
4 36 12 4 45 9
5 30 10 5 40 8
6 24 8 6 35 7
7 18 6 7 20 4
Price of A = 3 Price of B =5
MU of Money = 10
Expenditure = 5x Price of A + 3 xPrice B
= 5 x 3 + 3 X 5 =
Rs.30
Apple – 5 Rate (15 Rupees)
Banana – 3 Rate (15 Rupees)
12
Law of Equal-Marginal Utility
Consumer’s Equilibrium under Marshellian analysis
1 2 3 4 5 6 7 8 99 8 7 6 5 4 3 2 1
13
14

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Maximize Utility With Gossen's Second Law

  • 1. LAW OF EQUI-MARGINAL UTILITY (GOSSEN’S SECOND LAW)
  • 2. The Law of Equi-marginal utility is the further elaboration of the Law Of Diminishing Marginal Utility. It is also known as the Law of Substitution and the Law of maximum satisfaction, the Law of Indifference, The Law of Economy Of Expenditure, The Law of Equi-Marginal Returns. 2
  • 3. In the words of J.R. Hicks, “the utility will be maximised when the marginal unit of expenditure in each direction brings in the same increments of utility.” 3
  • 4. “The house holds maximizing the utility will so allocate the expenditure between commodities that the utility of the last penny spent on each item is equal.” Formula MUA/PA = MUB/PB = ….= MUN/PN 4
  • 5. 1. MARGINAL UTILITY OF MONEY REMAINS CONSTANT. 2. CONSTANT PURCHASING POWER OF THE MONEY 3. CONSUMER IS RATIONAL. 4. NO CHANGE IN PREFERENCE, NATURE,TASTE & FASHION OF CONSUMERS 5. MEASUREMENT OF UTILITY 6. LAW OF MARGINAL UTILITY APPLIES 7. SUITABLE UNITS 8. NO CLOSE SUBSTITUTE AVAILABLE 5
  • 6. We assume that: 1. The consumer has Rs.5 with him. 2. He has to spend his income on two goods A and B. 3. The price of each good is Rs.1 per unit. 6
  • 7. Units of money MU of A MU of B 1 12 10 2 10 8 3 8 6 4 6 4 5 3 2 Total 39 30 7
  • 8. UNITS OF MONEY NAME OF THE COMMODITY UTILITY (In Units) 1 1A 12 2 1B 10 3 2A 10 4 2B 8 5 3A 8 5 Rs. 3A , 2B 48 8
  • 9. 1. IGNORANCE OF CONSUMERS 2. CUSTOMS AND FASHIONS 3. UTILITY IS IMMEASURABLE. 4. MARGINAL UTILITY OF MONEY 5. NON-AVAILABILITY OF GOODS 9
  • 10. 6. CHANGE IN PRICE OF GOODS 7. COMPLEMENTARY GOODS 8. INDIVISIBLE GOODS 9. CONSUMERS ARE NOT RATIONAL 10. INDEFINITENESS OF THE BUDGET PERIOD 10
  • 11. 1. CONSUMPTION 2. PRODUCTION 3. EXCHANGE 4. DISTRIBUTION 11
  • 12. Law of Equal-Marginal Utility Consumer’s Equilibrium under Marshellian analysis Condition for consumer equilibrium MUx /Px = MUy /Py =MUm Apple (A) MUA MU/PA Banana (B) MUB MU/PB 1 60 20 1 60 12 2 48 16 2 55 11 3 42 14 3 50 10 4 36 12 4 45 9 5 30 10 5 40 8 6 24 8 6 35 7 7 18 6 7 20 4 Price of A = 3 Price of B =5 MU of Money = 10 Expenditure = 5x Price of A + 3 xPrice B = 5 x 3 + 3 X 5 = Rs.30 Apple – 5 Rate (15 Rupees) Banana – 3 Rate (15 Rupees) 12
  • 13. Law of Equal-Marginal Utility Consumer’s Equilibrium under Marshellian analysis 1 2 3 4 5 6 7 8 99 8 7 6 5 4 3 2 1 13
  • 14. 14