Uploaded by Yuhua Xu

A Quiz

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Full Name: ________________________________________________
17.12.2019
Microeconomics 1 classes
Quiz 3 (15 points)
1. Fill in the table below with your final answers
2. Allowed items: own calculator, pens, pencils
3. Be prepared not to leave the room for the entire duration of the quiz
4. Have fun! :)
Question
Your Answer
Problem 1
Problem 2
Problem 3
Problem 4
Problem 1 (4 points): Donald consumes goods x and y. His utility function is U(x, y) = xy3. He is endowed with 10 units
of x and 15 units of y. The price of x is $1 and the price of y is $2. Find his NET demand for x. Show your calculations
below.
Problem 2 (3 points): At prices ($4, $2), Natalia chooses the bundle (9, 18) (bundle A), and at prices ($1, $2), she chooses
the bundle (8, 14) (bundle B). Choose the correct answer.
a) bundle B is revealed preferred to the bundle A and she does not violate WARP
b) bundle A is revealed preferred to the bundle B and she does not violate WARP
c) SARP is violated but WARP is not
d) WARP is violated
e) none
Problem 3 (3 points): Mark has a utility function: U(x, y) = x 0,5 y 0,7, his income is 960, the prices are px = 10 and py = 28.
How many units of y does Mark demand if he is maximizing his utility? Show your calculations below.
Problem 4 (5 points): Charlie’s utility function is xAxB. The price of apples used to be $1, the price of bananas used to be
$2, and his income used to be $40. If the price of apples increased to $4 and the price of bananas stayed constant, the
substitution effect on Charlie’s apple consumption would reduce his consumption by ....... apples. Show your calculations
below.
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