O A consumer's utility function is given by: U(x,y) = 10xy Currently, the prices of goods x and y are $3 and $5, respectively, and the consumer's income is $150 . a. Find the MRS for this consumer for any given bundle (x,y) .b. Find the optimal consumption bundle for this consumer. c. Suppose the price of good x doubles. How much income is required so that the Econ 201 Beomsoo Kim Spring 2018 consumer is able to purchase the original consumption bundle. d. Now that the price of good x has doubled how much income is needed for the consumer to reach the original level of utility? Is this more or less that what you found in c.?

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O A consumer's utility function is given by:
U(x,y) = 10xy Currently, the prices of goods
x and y are $3 and $5, respectively, and the
consumer's income is $150
. a. Find the MRS for this consumer for any
given bundle (x,y)
.b. Find the optimal consumption bundle
for this consumer.
c. Suppose the price of good x doubles. How
much income is required so that the Econ
201 Beomsoo Kim Spring 2018 consumer is
able to purchase the original consumption
bundle.
d. Now that the price of good x has doubled,
how much income is needed for the
consumer to reach the original level of
utility? Is this more or less that what you
found in c.?
Transcribed Image Text:O A consumer's utility function is given by: U(x,y) = 10xy Currently, the prices of goods x and y are $3 and $5, respectively, and the consumer's income is $150 . a. Find the MRS for this consumer for any given bundle (x,y) .b. Find the optimal consumption bundle for this consumer. c. Suppose the price of good x doubles. How much income is required so that the Econ 201 Beomsoo Kim Spring 2018 consumer is able to purchase the original consumption bundle. d. Now that the price of good x has doubled, how much income is needed for the consumer to reach the original level of utility? Is this more or less that what you found in c.?
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