Condition of consumer's equilibrium (in case of two commodities)

Consumer's equilibrium in case of two commodities through utility approach is attained when ratio of MU of a commodity to its price becomes equal to the ratio of MU of the other commodity to its price. Symbolically it is expressed as
i.e., ratio of MU of commodity x to its price
s equal to ratio of MU of commodity y to its price
The equation also implies if price of commodity x is equal to price of commodity y (if Px = Py), the consumer will attain equilibrium when MUx = MUy.
It also means that satisfaction is maximum when a rupee worth of MU is same in both the goods x and y. This is proved in the following utility schedule of a consumer who has र 20 with him to spend on two goods x and y. Further suppose price of each unit of x (say tea) is र 5 and that of y (say biscuits) is र 2. How will consumer attain his equilibrium?
UTILITY SCHEDULE IN CASE OF TWO GOODS
|
Units of goods
|
MUx
|
MUx / Px (A rupee worth of MU)
|
MUy
|
MUy / Py (A rupee worth of MU)
|
1
|
50
|
50 ÷ 5 = 10
|
24
|
24 ÷ 2 = 12
|
2
|
40
|
40 ÷ 5 = 8
|
22
|
22 ÷ 2 = 11
|
3
|
30
|
30 ÷ 5 = 6
|
20
|
20 ÷ 2 = 10
|
4
|
20
|
20 ÷ 5 = 4
|
18
|
18 ÷ 2 = 9
|
5
|
10
|
10 ÷ 5 = 2
|
16
|
16 ÷ 2 = 8
|
6
|
0
|
—
|
14
|
14 ÷ 2 = 7
|
For obtaining maximum satisfaction from spending his given income of र 20 the consumer will buy 2 units of x (say, tea) by spending र 10(= 2 × 5) and 5 units of y (say, biscuits) by spending र 10(= 5 × 2). This combination of goods brings him maximum satisfaction (or state of equilibrium) because a rupee worth of MU in case of good x is
and in case of good y is also
= MU of a rupee or money). Remember, a consumer's maximum satisfaction is subject to budget constraints, i.e., the amount of money to be spent by a consumer.
One major limitation of Utility Approach is that it is measured in cardinal number (i.e., in exact numbers like 1, 2, 3 ....) and also utility being a subjective thing is incapable of being measured in exact numbers.
Gaurav Seth 6 years, 1 month ago
Condition of consumer's equilibrium (in case of two commodities)

i.e., ratio of MU of commodity x to its price
s equal to ratio of MU of commodity y to its price
The equation also implies if price of commodity x is equal to price of commodity y (if Px = Py), the consumer will attain equilibrium when MUx = MUy.
Consumer's equilibrium in case of two commodities through utility approach is attained when ratio of MU of a commodity to its price becomes equal to the ratio of MU of the other commodity to its price. Symbolically it is expressed as
It also means that satisfaction is maximum when a rupee worth of MU is same in both the goods x and y. This is proved in the following utility schedule of a consumer who has र 20 with him to spend on two goods x and y. Further suppose price of each unit of x (say tea) is र 5 and that of y (say biscuits) is र 2. How will consumer attain his equilibrium?
UTILITY SCHEDULE IN CASE OF TWO GOODS
Units of goods
MUx
MUx / Px (A rupee worth of MU)
MUy
MUy / Py (A rupee worth of MU)
1
50
50 ÷ 5 = 10
24
24 ÷ 2 = 12
2
40
40 ÷ 5 = 8
22
22 ÷ 2 = 11
3
30
30 ÷ 5 = 6
20
20 ÷ 2 = 10
4
20
20 ÷ 5 = 4
18
18 ÷ 2 = 9
5
10
10 ÷ 5 = 2
16
16 ÷ 2 = 8
6
0
—
14
14 ÷ 2 = 7
For obtaining maximum satisfaction from spending his given income of र 20 the consumer will buy 2 units of x (say, tea) by spending र 10(= 2 × 5) and 5 units of y (say, biscuits) by spending र 10(= 5 × 2). This combination of goods brings him maximum satisfaction (or state of equilibrium) because a rupee worth of MU in case of good x is
and in case of good y is also
= MU of a rupee or money). Remember, a consumer's maximum satisfaction is subject to budget constraints, i.e., the amount of money to be spent by a consumer.
One major limitation of Utility Approach is that it is measured in cardinal number (i.e., in exact numbers like 1, 2, 3 ....) and also utility being a subjective thing is incapable of being measured in exact numbers.
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