Emily goes camping on the weekend and eats marshmallows (M) and crackers (C) there. She wants to match 1 marshmallow with 2 crackers, but does not eat in different proportion (i.e., perfect com- plement). The price of a marshmallow is 10 cents and the price of a cracker is 5 cents, and she spend up to $3 in total. a) Write down a utility function which represents Emily's preferences over marshmallows and crackers. b) How many marshmallows and crackers is she going to consume? (Hint: the first-order conditions will not help; draw the budget constraint and the indifference curves and look at the highest one that intersect the budget constraint). c) What is the exact value of Emily's indirect utility?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter4: Utility Maximization And Choice
Section: Chapter Questions
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Emily goes camping on the weekend and eats marshmallows (M) and crackers (C) there. She wants
to match 1 marshmallow with 2 crackers, but does not eat in different proportion (i.e., perfect com-
plement). The price of a marshmallow is 10 cents and the price of a cracker is 5 cents, and she
spend up to $3 in total.
a) Write down a utility function which represents Emily's preferences over marshmallows and
crackers.
b) How many marshmallows and crackers is she going to consume? (Hint: the first-order conditions
will not help; draw the budget constraint and the indifference curves and look at the highest one
that intersect the budget constraint).
c) What is the exact value of Emily's indirect utility?
Transcribed Image Text:4 Emily goes camping on the weekend and eats marshmallows (M) and crackers (C) there. She wants to match 1 marshmallow with 2 crackers, but does not eat in different proportion (i.e., perfect com- plement). The price of a marshmallow is 10 cents and the price of a cracker is 5 cents, and she spend up to $3 in total. a) Write down a utility function which represents Emily's preferences over marshmallows and crackers. b) How many marshmallows and crackers is she going to consume? (Hint: the first-order conditions will not help; draw the budget constraint and the indifference curves and look at the highest one that intersect the budget constraint). c) What is the exact value of Emily's indirect utility?
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