Question 1 Jennifer is a single mom with a weekly budget of $100. She can spend her weekly income on food and diapers for her son. Price of food is $1 and price of a diaper is 50 cents. Her son needs at least 5 diapers a day, therefore she must purchase at least 35 diapers weekly. Jennifer's utility function is U(f,d) = fo.9 0.1 where f and d represent quantity of food and diapers, respectively.

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter10: Consumer Choice Theory
Section: Chapter Questions
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Question 1
Jennifer is a single mom with a weekly budget of $100. She can spend her weekly
income on food and diapers for her son. Price of food is $1 and price of a diaper
is 50 cents. Her son needs at least 5 diapers a day, therefore she must purchase
at least 35 diapers weekly. Jennifer's utility function is U(f,d) = fo.⁹ 10.1,
where f and d represent quantity of food and diapers, respectively.
Question 1 Part a
Find Jennifer's optimal consumption bundle. Make sure to draw her budget
constraint and indifference curves and clearly demonstrate your solution.
Question 1 Part b
Jennifer's uncle Sam, who is aware of her financial troubles, offers to help her
out. Specifically, he offers to pay half of her weekly diaper expenses. How
many diapers Jennifer would buy now? Again, demonstrate your solution both
graphically and analytically.
Transcribed Image Text:Question 1 Jennifer is a single mom with a weekly budget of $100. She can spend her weekly income on food and diapers for her son. Price of food is $1 and price of a diaper is 50 cents. Her son needs at least 5 diapers a day, therefore she must purchase at least 35 diapers weekly. Jennifer's utility function is U(f,d) = fo.⁹ 10.1, where f and d represent quantity of food and diapers, respectively. Question 1 Part a Find Jennifer's optimal consumption bundle. Make sure to draw her budget constraint and indifference curves and clearly demonstrate your solution. Question 1 Part b Jennifer's uncle Sam, who is aware of her financial troubles, offers to help her out. Specifically, he offers to pay half of her weekly diaper expenses. How many diapers Jennifer would buy now? Again, demonstrate your solution both graphically and analytically.
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