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ECON 1100:
Intermediate Microeconomics
Instructor: Sandra Orozco
Homework 2
Due date: September 20th, 2010
IMPORTANT NOTE: Do not forget to label your graph properly!!!
1
. The utility that Ann receives by consuming food F and clothing C is given by
U( F, C) = FC + F
Food costs $ 1 a unit, and clothing costs $ 2 a unit. Ann’s income is $ 22.
a) Ann is currently spending all of her income. She is buying 8 units of food. How many
units of clothing is she consuming?
b) Graph her budget line. Place the number of units of clothing on the vertical axis and
the number of units of food on the horizontal axis. Plot her current consumption basket.
c) Draw the indifference curve associated with a utility level of 36 and the indifference
curve associated with a utility level of 72. Are the indifference curves bowed in toward
the origin?
d) Using a graph ( and no algebra), find the optimal choice of food and clothing.
e) Using algebra, find the optimal choice of food and clothing.
f ) What is the marginal rate of substitution of food for clothing when utility is
maximized? Show this graphically and algebraically.
g) Does Ann have a diminishing marginal rate of substitution of food for clothing? Show
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 Fall '06
 Unver
 Microeconomics, Utility

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