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)?

Economics For Today
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ISBN:9781337613040
Author:Tucker
Publisher:Tucker
Chapter6: Consumer Choice Theory
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JUST ANSWER a,b,c

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)?
Transcribed Image Text: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)?
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