Suppose the utility function of a consumer is given by U(x, y) = x0.2y0.8, her income is K200 and the prices of good x and good y are K4 and K2 respectively. a) Using the langragian multiplier method, find the quantity of both goods that she should consume in order to maximise her utility given her income of K100 b) Interpret the lagnragian multiplier found in (a).

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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QUESTION FOUR
Suppose the utility function of a consumer is given by U(x, y) = x0.2y0.8, her income is K200
and the prices of good x and good y are K4 and K2 respectively.
a) Using the langragian multiplier method, find the quantity of both goods that she should
consume in order to maximise her utility given her income of K100
b) Interpret the lagnragian multiplier found in (a).
Transcribed Image Text:QUESTION FOUR Suppose the utility function of a consumer is given by U(x, y) = x0.2y0.8, her income is K200 and the prices of good x and good y are K4 and K2 respectively. a) Using the langragian multiplier method, find the quantity of both goods that she should consume in order to maximise her utility given her income of K100 b) Interpret the lagnragian multiplier found in (a).
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