4. Jen from Thunder Bay consumes housing (H) and food (F). Her student stipend is $600/month. She has a utility function of U(H, F) = F'/3 H²/3¸ The initial price of food is pp = 1 and the price of housing is pí = 10. (a) Determine how much food and housing she consumes. (b) Suppose the government decides to subsidize her housing by 50%. This has the effect of lowering the price she actually pays for housing to $5. If the price of food is $1 and the price of housing is $5, calculate Jen's utility maximizing bundle of goods. (c) How much does the Government spend on this program (just on Jen)?

4. Jen from Thunder Bay consumes housing (H) and food (F). Her student stipend is $600/month. She has a utility function of U(H, F) = F'/3 H²/3¸ The initial price of food is pp = 1 and the price of housing is pí = 10. (a) Determine how much food and housing she consumes. (b) Suppose the government decides to subsidize her housing by 50%. This has the effect of lowering the price she actually pays for housing to $5. If the price of food is $1 and the price of housing is $5, calculate Jen's utility maximizing bundle of goods. (c) How much does the Government spend on this program (just on Jen)?

Microeconomics A Contemporary Intro

10th Edition

ISBN:9781285635101

Author:MCEACHERN

Publisher:MCEACHERN

Chapter6: Consumer Choice And Demand

Section: Chapter Questions

Problem 8QFR

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Jen from Thunder Bay consumes housing (H) and food (F). Her studentstipend is $600/month. She has a utility function of U(H, F) = F1/3H2/3.The initial price of food is pF = 1 and the price of housing is pH = 10. (a) Determine how much food and housing she consumes.(b) Suppose the government decides to subsidize her housing by 50%.This has the effect of lowering the price she actually pays for housingto $5. If the price of food is $1 and the price of housing is $5, calculateJen’s utility maximizing bundle of goods.(c) How much does the Government spend on this program (just on Jen)?(d) Calculate her utility level using the utility function above and thequantities consumed.(e) Calculate Jen’s utility maximizing bundle and her resulting utilitylevel if the government chooses to simply give her the money theywould have spent on the program (rather than subsidize housing).How much utility does Jen get?(f) Given the two programs cost the same, which one is better for Jen?Illustrate the…
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