Exam 5: Demand-Part A

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Darlene's utility function is U(x, y, z)= x3y7z.If her income doubles and prices remain unchanged, her demand for good y will more than double.

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False

An inferior good is less durable than a normal good.

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Where x is the quantity of good X demanded, the inverse demand function for X

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Donald's utility function is U(x, y)= x + y1/2.Currently he is buying some of both goods.If his income rises and prices don't change, he will buy more of both goods.

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If preferences are homothetic, then the slope of the Engel curve for any good will decrease as income increases.

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Georgina consumes only grapefruits and pineapples.Her utility function is U(x, y)= x2y8, where x is the number of grapefruits consumed and y is the number of pineapples consumed.Georgina's income is $105, and the prices of grapefruits and pineapples are $1 and $3, respectively.How many grapefruits will she consume?

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Quasilinear preferences are homothetic when the optimal amount of one of the goods is not affordable.

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Prudence was maximizing her utility subject to her budget constraint.Then prices changed.After the price change she was better off.Therefore the new bundle costs more at the old prices than the old bundle did.

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Ambrose's brother Sebastian has a utility function U(x1, x2) = 28x1/21 + x2, where x1 is his consumption of nuts and x2 is his consumption of berries.His income is $128, the price of nuts is $2, and the price of berries is $1.How many units of berries will Sebastian demand?

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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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Briefly explain in a sentence or two how you could tell a.whether a good is a normal good or an inferior good. b.whether a good is a luxury or a necessity. c.whether two goods are complements or substitutes.

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If income is doubled and all prices are doubled, then the demand for luxury goods will more than double.

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Between 1990 and 2000, a particular consumer's income increased by 25%, while the price of X and of "all other goods" both increased by 10%.It was observed that the consumer's consumption of X and of all other goods both increased by 15%.

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Ray Starr has the utility function U(x, y)= y/(100 - x). a.Does Ray prefer more to less of both goods? b.Draw a diagram showing Ray's indifference curves corresponding to the utility levels U = 1/2, U = 1, and U = 2. c.How can you describe the set of indifference curves for Ray? d.If the price of x is $1 and the price of y is $1, find Ray's demand for x as a function of his income and draw a diagram showing his Engel curve for x.

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Natalie consumes only apples and tomatoes.Her utility function is U(x, y)= x2y8, where x is the number of apples consumed and y is the number of tomatoes consumed.Natalie's income is $320, and the prices of apples and tomatoes are $4 and $3, respectively.How many apples will she consume?

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Ambrose's brother Patrick has a utility function U(x1, x2)= 16x1/21 + x2.His income is $82, the price of good 1 (nuts)is $2, and the price of good 2 (berries)is $1.How many units of nuts will Patrick demand?

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Seppo consumes brandy and saunas.Neither is an inferior good.Seppo has a total of $30 a day and 6 hours a day to spend on brandy and saunas.Each brandy costs $2 and takes half an hour to consume.Each sauna costs $1 and takes 1 hour to consume.(It is, unfortunately, impossible to consume a brandy in the sauna.)Seppo suddenly inherits a lot of money and now has $50 a day to spend on brandy and saunas.Since Seppo is a rational consumer, he will

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Mike consumes two commodities, x and y, and his utility function is min{x + 2y, y + 2x}.He chooses to buy 8 units of good x and 16 units of good y.The price of good y is $.50.What is his income?

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Fred consumes pork chops and lamb chops and nothing else.When the price of pork chops rises with no change in his income or in the price of lamb chops, Fred buys fewer lamb chops and fewer pork chops.

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An Engel curve is a demand curve with the vertical and horizontal axes reversed.

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