2. Suppose there are two goods in the economy: Food (F) and Composite good (Y), with Pp = 1 and Py = 2. Consider a consumer who has utility function u(F,Y) = InF + In Y and income I = $100. (a) Find the consumer's consumption choice. (b) Suppose, to promote better nutrition, the government institutes a welfare program that gives every consumer with income less than $500 additional $100. Find the consumer's new consumption choice. How much of the government's payment went into purchasing Food? (c) Suppose rather than giving cash, the government gives a voucher that can only be used to purchase (up to) $100 worth of Food. How does this affect the consumer's consumption choice? (d) Which of the two programs is more effective in achieving the government's goal? Explain.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter6: Demand Relationships Among Goods
Section: Chapter Questions
Problem 6.9P
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2. Suppose there are two goods in the economy: Food (F) and Composite good (Y),
with Pp = 1 and Py = 2. Consider a consumer who has utility function
u(F,Y) = InF + In Y
and income I = $100.
(a) Find the consumer's consumption choice.
(b) Suppose, to promote better nutrition, the government institutes a welfare
program that gives every consumer with income less than $500 additional
$100. Find the consumer's new consumption choice. How much of the
government's payment went into purchasing Food?
(c) Suppose rather than giving cash, the government gives a voucher that can
only be used to purchase (up to) $100 worth of Food. How does this affect
the consumer's consumption choice?
(d) Which of the two programs is more effective in achieving the government's
goal? Explain.
Transcribed Image Text:2. Suppose there are two goods in the economy: Food (F) and Composite good (Y), with Pp = 1 and Py = 2. Consider a consumer who has utility function u(F,Y) = InF + In Y and income I = $100. (a) Find the consumer's consumption choice. (b) Suppose, to promote better nutrition, the government institutes a welfare program that gives every consumer with income less than $500 additional $100. Find the consumer's new consumption choice. How much of the government's payment went into purchasing Food? (c) Suppose rather than giving cash, the government gives a voucher that can only be used to purchase (up to) $100 worth of Food. How does this affect the consumer's consumption choice? (d) Which of the two programs is more effective in achieving the government's goal? Explain.
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