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Question
A consumer consumes only two goods X and Y and is in equilibrium. Price of X falls. Explain the reaction of the consumer through the Utility Analysis.
Solution
In case of two commodities, the consumer’s equilibrium is attained at that point, where; the utility derived from each additional unit of the rupee spent on each of the commodities is equal. That is, Marginal Utility of a Rupee spent on the commodity `x(i.e (MU_x)/(P_x))` is equal to the Marginal Utility of a Rupee spent on the commodity `Y(i.e (MU_y)/(P_y))`which in turn is equal to the Marginal Utility of Money (MUm). That is,
` (MU_x)/(P_x) (MU_y)/(P_y)=MU_m`
If price of the commodity X falls, then the value of the fraction `((MU_x)/(P_x))`increases. Mathematically, this implies:
`(MU_x)/(P_x)>(MU_y)/(P_y)=MU_m`
In such a situation, the consumer would increase his consumption of commodity X. He will continue to increase the consumption of commodity X until the equality between the marginal utilities of each of the commodities become equal to the marginal utility of money. At this situation, the equilibrium is restored. That is,
`(MU_x)/(P_x)=(MU_y)/(P_y)=MU_m`
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