uppose Coke and Pepsi are perfect substitutes for me, and right and left shoes are perfect complements. A. Suppose my income allocated to Coke/Pepsi consumption is $100 per month, and my income allocated to right/left shoe consumption is similarly $100 per month. a. Suppose Coke currently costs $0.50 per can and Pepsi costs $0.75 per can. Then the price of Coke goes up to $1 per can. Illustrate my original and my new optimal bundle with "Coke" on the horizontal and "Pepsi" on the vertical axis. b. Suppose right and left shoes are sold separately. If right and left shoes are originally both priced at $1, illustrate (on a graph with "right shoes" on the horizontal and "left shoes" on the vertical) my original and my new optimal bundle when the price of left shoes increases to $2. c. True or False: Perfect complements represent a unique special case of homothetic tastes in the following sense: Whether income goes up or whether the price of one of the goods falls, the optimal bundle will always lie on a the same ray emerging from the origin.

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Suppose Coke and Pepsi are perfect substitutes for me, and right and left shoes are perfect complements. A. Suppose my income allocated to Coke/Pepsi consumption is $100 per month, and my income allocated to right/left shoe consumption is similarly $100 per month. a. Suppose Coke currently costs $0.50 per can and Pepsi costs $0.75 per can. Then the price of Coke goes up to $1 per can. Illustrate my original and my new optimal bundle with "Coke" on the horizontal and "Pepsi" on the vertical axis. b. Suppose right and left shoes are sold separately. If right and left shoes are originally both priced at $1, illustrate (on a graph with "right shoes" on the horizontal and "left shoes" on the vertical) my original and my new optimal bundle when the price of left shoes increases to $2. c. True or False: Perfect complements represent a unique special case of homothetic tastes in the following sense: Whether income goes up or whether the price of one of the goods falls, the optimal bundle will always lie on a the same ray emerging from the origin. B. Continue with the assumptions about tastes from part A. a. Write down two utility functions: one representing my tastes over Coke and Pepsi, another representing my tastes over right and left shoes.
Suppose Coke and Pepsi are perfect substitutes for me, and right and left shoes are perfect
complements.
A. Suppose my income allocated to Coke/Pepsi consumption is $100 per month, and my
income allocated to right/left shoe consumption is similarly $100 per month.
a. Suppose Coke currently costs $0.50 per can and Pepsi costs $0.75 per can.
Then the price of Coke goes up to $1 per can. Illustrate my original and my
new optimal bundle with "Coke" on the horizontal and "Pepsi" on the vertical
axis.
b. Suppose right and left shoes are sold separately. If right and left shoes are
originally both priced at $1, illustrate (on a graph with "right shoes" on the
horizontal and "left shoes" on the vertical) my original and my new optimal
bundle when the price of left shoes increases to $2.
c. True or False: Perfect complements represent a unique special case of
homothetic tastes in the following sense: Whether income goes up or
whether the price of one of the goods falls, the optimal bundle will always lie
on a the same ray emerging from the origin.
B. Continue with the assumptions about tastes from part A.
a. Write down two utility functions: one representing my tastes over Coke
and Pepsi, another representing my tastes over right and left shoes.
Transcribed Image Text:Suppose Coke and Pepsi are perfect substitutes for me, and right and left shoes are perfect complements. A. Suppose my income allocated to Coke/Pepsi consumption is $100 per month, and my income allocated to right/left shoe consumption is similarly $100 per month. a. Suppose Coke currently costs $0.50 per can and Pepsi costs $0.75 per can. Then the price of Coke goes up to $1 per can. Illustrate my original and my new optimal bundle with "Coke" on the horizontal and "Pepsi" on the vertical axis. b. Suppose right and left shoes are sold separately. If right and left shoes are originally both priced at $1, illustrate (on a graph with "right shoes" on the horizontal and "left shoes" on the vertical) my original and my new optimal bundle when the price of left shoes increases to $2. c. True or False: Perfect complements represent a unique special case of homothetic tastes in the following sense: Whether income goes up or whether the price of one of the goods falls, the optimal bundle will always lie on a the same ray emerging from the origin. B. Continue with the assumptions about tastes from part A. a. Write down two utility functions: one representing my tastes over Coke and Pepsi, another representing my tastes over right and left shoes.
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