2.5 Ms. Caffeine enjoys coffee (C) and tea (T) accord- ing to the function U(C,T) = 3C+4T. a. What does her utility function say about her MRS of coffee for tea? What do her indiffer- ence curves look like? b. If coffee and tea cost $3 each and Ms. Caffeine has $12 to spend on these products, how much coffee and tea should she buy to maximize her utility? c. Draw the graph of her indifference curve map and her budget constraint, and show that the utility-maximizing point occurs only on the T-axis where no coffee is bought. d. Would this person buy any coffee if she had more money to spend? e. How would her consumption change if the price of coffee fell to $2?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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2.5 Ms. Caffeine enjoys coffee (C) and tea (T) accord-
ing to the function U(C,T) = 3C+4T.
a. What does her utility function say about her
MRS of coffee for tea? What do her indiffer-
ence curves look like?
b. If coffee and tea cost $3 each and Ms. Caffeine
has $12 to spend on these products, how much
coffee and tea should she buy to maximize her
utility?
c. Draw the graph of her indifference curve map
and her budget constraint, and show that the
utility-maximizing point occurs only on the
T-axis where no coffee is bought.
d. Would this person buy any coffee if she had
more money to spend?
e. How would her consumption change if the
price of coffee fell to $2?
Transcribed Image Text:2.5 Ms. Caffeine enjoys coffee (C) and tea (T) accord- ing to the function U(C,T) = 3C+4T. a. What does her utility function say about her MRS of coffee for tea? What do her indiffer- ence curves look like? b. If coffee and tea cost $3 each and Ms. Caffeine has $12 to spend on these products, how much coffee and tea should she buy to maximize her utility? c. Draw the graph of her indifference curve map and her budget constraint, and show that the utility-maximizing point occurs only on the T-axis where no coffee is bought. d. Would this person buy any coffee if she had more money to spend? e. How would her consumption change if the price of coffee fell to $2?
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