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A Consumer Consumes Only Two Goods X and Y Whose Prices Are Rs 5 and Rs 4 Respectively. If the Consumer Chooses a Combination of the Two Goods with Marginal Utility of X Equal to 4 and that of Y Equal to 5, is the Consumer in Equilibrium? Why Or Why Not? What Will a Rational Consumer Do in this Situation? Use Utility Analysis - Economics

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Question

A consumer consumes only two goods X and Y whose prices are Rs 5 and Rs 4 respectively. If the consumer chooses a combination of the two goods with marginal utility of X equal to 4 and that of Y equal to 5, is the consumer in equilibrium? Why or why not? What will a rational consumer do in this situation? Use utility analysis

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Solution

`The consumer reaches equilibrium only if the following condition is satisfied

`"MU"_x/P_x = "MU"_y/P_y`

Give that

`"MU"_x/P_x = 5/4`

`"MU"_y/P_y = 4/5`

Here `"MU"_x/P_x` is greater than `"MU"_y/P_y`, the rational consumer would try to satisfy the condition by increasing the consumption of Good-X and forego the consumption of Good-Y.

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Consumer's Equilibrium
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2014-2015 (March) All India Set 1
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