Exam 5: Demand-Part A

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A consumer has the utility function U(x, y)= min{x, 2y}.If the price of good x is zero and the price of good y is p, then the consumer's demand function for good y is m/2p.

(True/False)
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Casper's utility function is 3x + y, where x is his consumption of cocoa and y is his consumption of cheese.If the total cost of x units of cocoa is x2, the price of cheese is $10, and Casper's income is $260, how many units of cocoa will he consume?

(Multiple Choice)
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Let w be the number of whips and j the number of leather jackets.If Kinko's utility function is U(x, y)= min{7w, 4w + 12j}, then if the price of whips is $20 and the price of leather jackets is $40, Kinko will demand

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If Charlie's utility function is X 5A XB, the price of apples is pA, the price of bananas is pB, and his income is m, then Charlie's demand for apples will be

(Multiple Choice)
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Regardless of his income and regardless of prices, Smedley always spends 25% of his income on housing, 10% on clothing, 30% on food, 15% on transportation, and 20% on recreation.This behavior is consistent with which of the following?

(Multiple Choice)
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Wanda Lott's utility function is U(x, y)= max{x, y}.Draw some of Wanda's indifference curves.If the price of x is 1, the price of y is p, and her income is m, how much of y does Wanda demand?

(Essay)
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Walt consumes strawberries and cream but only in the fixed ratio of three boxes of strawberries to two cartons of cream.At any other ratio, the excess goods are totally useless to him.The cost of a box of strawberries is $10 and the cost of a carton of cream is $10.Walt's income is $200.

(Multiple Choice)
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Alfredo lives on apples and bananas only.His utility function is U(a, b)= min{a + b, 2b}.He maximizes his utility subject to his budget constraint and consumes the bundle (a, b)= (4, 4).

(Multiple Choice)
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Ambrose's brother Bartholomew has a utility function U(x1, x2)= 40x1/21 + x2, where x1 is his consumption of nuts and x2 is his consumption of berries.His income is $115, the price of nuts is $5, and the price of berries is $1.How many units of berries will Bartholomew demand?

(Multiple Choice)
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Miss Muffet insists on consuming 2 units of whey per 1 unit of curds.If the price of curds is $5 and the price of whey is $3, then if Miss Muffet's income is m, her demand for curds will be

(Multiple Choice)
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When other variables are held fixed, the demand for a Giffen good rises when income increases.

(True/False)
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If the price elasticity of demand for a good is -1, then doubling the price of that good will leave total expenditures on that good unchanged.

(True/False)
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Daisy received a tape recorder as a birthday gift and is not able to return it.Her utility function is U(x, y, z)= x + z1/2 f(y), where z is the number of tapes she buys, y is the number of tape recorders she has, and x is the amount of money she has left to spend.f(y)= 0 if y < 1 and f(y)= 24 if y is 1 or greater.The price of tapes is $4 and she can easily afford to buy dozens of tapes.How many tapes will she buy?

(Multiple Choice)
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Martha has the utility function U = min{4x, 2y}.Write down her demand function for x as a function of the variables m, px, and py, where m is income, px is the price of x, and py is the price of y.

(Essay)
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Mickey is considering buying a tape recorder.His utility function is U(x, y, z)= x + f(y)z.5, where x is the amount of money he spends on other goods, y is the number of tape recorders he buys, and z is the number of tapes he buys.Let f (y)= 0 if y < 1 and f (y)= 8 if y is greater than or equal to 1.The price of tape recorders is $20, the price of tapes is $1, and Mickey can easily afford to buy a tape recorder and several tapes.Will he buy a tape recorder?

(Multiple Choice)
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Madonna buys only two goods.Her utility function is Cobb-Douglas.Her demand functions have which of the following properties?

(Multiple Choice)
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Will Feckless unexpectedly inherits $10,000 from a rich uncle.He is observed to consume fewer hamburgers than he used to.

(Multiple Choice)
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Clarissa's utility function is U(r, z)= z + 160r - r2, where r is the number of rose plants she has in her garden and z is the number of zinnias.She has 250 square feet to allocate to roses and zinnias.Roses each take up 4 square feet and zinnias each take up 1 square foot.She gets the plants for free from a generous friend.If she acquires another 100 square feet of land for her garden and her utility function remains unchanged, she will plant

(Multiple Choice)
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Katie Kwasi's utility function is U(x1, x2)= 5(ln x1)+ x2.Given her current income and the current relative prices, she consumes 10 units of x1 and 15 units of x2.If her income doubles, while prices stay constant, how many units of x1 will she consume after the change in income?

(Multiple Choice)
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If Charlie's utility function were X 6A XB and if apples cost 40 cents each and bananas cost 10 cents each, Charlie's budget line would be tangent to one of his indifference curves whenever

(Multiple Choice)
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