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Discuss the consumer equilibrium in two …

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Discuss the consumer equilibrium in two commodity case
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Gaurav Seth 6 years, 1 month ago

 

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

MU/ 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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