11) A consumer's preferences for food (F) and clothing (C) are given by U(F,C) = F0.2C 0.8. The price of food is $4, and the price of clothing is $8. The consumer has an income of $3600. a) What is the utility maximizing choice of food and clothing? b) How would the utility maximizing choice change if price of clothing increased to $14? c) Given the answers to the previous parts plot a linear approximation to the demand function for clothing.

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter3: Preferences And Utility
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11) A consumer's preferences for food (F) and clothing (C) are given by U(F,C) = F0.2C 0.8. The price
of food is $4, and the price of clothing is $8. The consumer has an income of $3600. a) What is the
utility maximizing choice of food and clothing? b) How would the utility maximizing choice change
if price of clothing increased to $14? c) Given the answers to the previous parts plot a linear
approximation to the demand function for clothing.
Transcribed Image Text:11) A consumer's preferences for food (F) and clothing (C) are given by U(F,C) = F0.2C 0.8. The price of food is $4, and the price of clothing is $8. The consumer has an income of $3600. a) What is the utility maximizing choice of food and clothing? b) How would the utility maximizing choice change if price of clothing increased to $14? c) Given the answers to the previous parts plot a linear approximation to the demand function for clothing.
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