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Consider Jen,a consumer with preferences U(H,F)= F¹/³H²/³,where H is the quantity of housing and F is the quantity of food (per month).Suppose Jen has a stipend of $600/month which she uses to purchase food at a price of $1/unit and housing at a price of $10/unit.
a.Compute Jen's utility-maximizing bundle of goods.
b.Suppose that Jen's employer subsidizes housing by paying 50% of her total housing costs,thereby effectively lowering the price Jen pays for housing to $5/unit.Compute Jen's new optimal consumption bundle.
c.How much does Jen's employer pay in total for this subsidy? How much utility does Jen enjoy with this subsidy (compute her utility at the optimal bundle).
d.Suppose that her employer simply gave Jen the dollar cost you found in (c)as a lump sum (instead of subsidizing housing).Will Jen gain a higher utility from the housing subsidy or the lump-sum equivalent transfer?
Mutual Agreement
A consent or accord reached by two or more parties, typically forming the basis for a contractual relationship.
Principal
The primary party to a transaction, such as a loan or investment, who has rights and obligations different from an agent or a trustee.
Agent
An individual or entity authorized to act on behalf of another person or organization in legal or business matters.
Social Anxiety
The fear of social situations that involve interaction with other people, mainly stemming from the worry of being judged or evaluated negatively by others.
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