Karl has utility function U(X,Y)= XY. He faces the following prices and income: Px = 10; Py = 20; M = 100. However, a change in the price of good X to PX = 8 will change his optimal bundle. If he is only interested in being able to consume on his original indifference curve, by how much would his demand for good X and Y change purely due to the change in opportunity cost caused by the price change? O Karl's demand for X would rise by 0.59 units from 5 units to 5.59 units. His demand for good Y would fall by 0.26 units from 2.5 units to 2.24 units O Karl's demand for X would rise by 0.63 units from 5 units to 5.63 units. His demand for good Y would fall by 0.25 units from 2.5 units to 2.25 units. O Karl's demand for X would rise by 0.66 units from 5.59 units to 6.25 units. His demand for good Y would rise by 0.26 units from 2.24 units to 2.5 units. O Karl's demand for X would rise by 1.25 units from 5 units to 6.25 units. His demand for good Y would remain constant at 2.5 units O Karl's demand for X would rise by 0.63 units from 5.63 units to 6.3 units. His demand for good Y would rise by 0.25 units from 2.25 units to 2.5 units

Microeconomics A Contemporary Intro
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Chapter6: Consumer Choice And Demand
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Karl has utility function U(X, Y) = XY. He faces the following prices and income: Px = 10; Py = 20; M = 100. However, a change in the price of good X to PX = 8 will change his optimal bundle. If
he is only interested in being able to consume on his original indifference curve, by how much would his demand for good X and Y change purely due to the change in opportunity cost caused by
the price change?
Karl's demand for X would rise by 0.59 units from 5 units to 5.59 units. His demand for good Y would fall by 0.26 units from 2.5 units to 2.24 units
Karl's demand for X would rise by 0.63 units from 5 units to 5.63 units. His demand for good Y would fall by 0.25 units from 2.5 units to 2.25 units.
Karl's demand for X would rise by 0.66 units from 5.59 units to 6.25 units. His demand for good Y would rise by 0.26 units from 2.24 units to 2.5 units.
Karl's demand for X would rise by 1.25 units from 5 units to 6.25 units. His demand for good Y would remain constant at 2.5 units
O Karl's demand for X would rise by 0.63 units from 5.63 units to 6.3 units. His demand for good Y would rise by 0.25 units from 2.25 units to 2.5 units
Transcribed Image Text:Karl has utility function U(X, Y) = XY. He faces the following prices and income: Px = 10; Py = 20; M = 100. However, a change in the price of good X to PX = 8 will change his optimal bundle. If he is only interested in being able to consume on his original indifference curve, by how much would his demand for good X and Y change purely due to the change in opportunity cost caused by the price change? Karl's demand for X would rise by 0.59 units from 5 units to 5.59 units. His demand for good Y would fall by 0.26 units from 2.5 units to 2.24 units Karl's demand for X would rise by 0.63 units from 5 units to 5.63 units. His demand for good Y would fall by 0.25 units from 2.5 units to 2.25 units. Karl's demand for X would rise by 0.66 units from 5.59 units to 6.25 units. His demand for good Y would rise by 0.26 units from 2.24 units to 2.5 units. Karl's demand for X would rise by 1.25 units from 5 units to 6.25 units. His demand for good Y would remain constant at 2.5 units O Karl's demand for X would rise by 0.63 units from 5.63 units to 6.3 units. His demand for good Y would rise by 0.25 units from 2.25 units to 2.5 units
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