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A consumer consumes only two goods X and Y and is in equilibrium .Price of falls . Explain the reaction of the consumer through the Utility Analysis |
Answer» <html><body><p></p>Solution :As, we know conditions for consumer equilibrium is ,<br/>Necessary Condition<br/> Marginal <a href="https://interviewquestions.tuteehub.com/tag/utility-1441817" style="font-weight:bold;" target="_blank" title="Click to know more about UTILITY">UTILITY</a> of <a href="https://interviewquestions.tuteehub.com/tag/last-3704365" style="font-weight:bold;" target="_blank" title="Click to know more about LAST">LAST</a> rupee spent on each commodity is same . <br/>Suppose there are <a href="https://interviewquestions.tuteehub.com/tag/two-714195" style="font-weight:bold;" target="_blank" title="Click to know more about TWO">TWO</a> commodities, X and Y respectively. <br/> So , for commodity X, the condition is, Marginal Utility of Money = Price of X<br/> Or `(" Marginal in Util Product in Util " [MU_x])/( "Marginal Utility of One Rupee " [MU_R])` = Price of X <br/> or `(MU_x)/(P_x) = MU_R "".....(1)` <br/> Similarly, for commodity Y , the condition is, <br/> `(MU_y)/P_y=MU_R ""....(2)` <br/> Putting <a href="https://interviewquestions.tuteehub.com/tag/equation-974081" style="font-weight:bold;" target="_blank" title="Click to know more about EQUATION">EQUATION</a> (2) in (1), we get <br/> `(MU_x)/(P_y)=(MU_y)/P_y` <br/> But as given in the question that the ratio of marginal utility to price in <a href="https://interviewquestions.tuteehub.com/tag/case-910082" style="font-weight:bold;" target="_blank" title="Click to know more about CASE">CASE</a> of X is higher than that in case of Y, i.e., `(MU_x)/P_x gt (MU_y)/P_y` <br/> It means marginal utility from the last rupee spent on commodity X is more than marginal utility from the last rupee spent on commodity Y. So, to attain the equilibrium consumer must increase the quantity of X, which decreases the `MU_x` and decreases the quantity of Y, which will increase the `MU_y` Increase in quantity of X and decrease in quantity of Y continue till `(MU_x)/P_x = (MU_y)/P_y` .</body></html> | |