Question 2 Emma's daily utility function is U = 8√R+4M, where R represents the pounds of rice eaten in a day and M represents the money spent in other food. Marginal utility for rice and other food is: MUR=4R-1, MUM = 4. (a) Assume price for rice is pr, price for other food is pm and Emma's income is m. Derive the demand function given prices p, Pm and income m. (b) Assume initially the price for rice is $0.5 per bowl. The price of other food is $1. Emma's daily income is $10. How much R and M will she buy? (Don't round off fractions) (c) Now the price of rice increases to $1 per bowl. The price of other food is still $1. Emma's daily income is still $10. How much R and M will she buy now?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter4: Utility Maximization And Choice
Section: Chapter Questions
Problem 4.13P
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Question 2
Emma's daily utility function is U = 8√R+ 4M, where R represents the pounds of rice
eaten in a day and M represents the money spent in other food. Marginal utility for rice
and other food is: MUR = 4R-, MUM = 4.
(a) Assume price for rice is pr, price for other food is pm and Emma's income is m. Derive
the demand function given prices Pr Pm and income m.
(b) Assume initially the price for rice is $0.5 per bowl. The price of other food is $1.
Emma's daily income is $10. How much R and M will she buy? (Don't round off fractions)
(c) Now the price of rice increases to $1 per bowl. The price of other food is still $1.
Emma's daily income is still $10. How much R and M will she buy now?
Transcribed Image Text:Question 2 Emma's daily utility function is U = 8√R+ 4M, where R represents the pounds of rice eaten in a day and M represents the money spent in other food. Marginal utility for rice and other food is: MUR = 4R-, MUM = 4. (a) Assume price for rice is pr, price for other food is pm and Emma's income is m. Derive the demand function given prices Pr Pm and income m. (b) Assume initially the price for rice is $0.5 per bowl. The price of other food is $1. Emma's daily income is $10. How much R and M will she buy? (Don't round off fractions) (c) Now the price of rice increases to $1 per bowl. The price of other food is still $1. Emma's daily income is still $10. How much R and M will she buy now?
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