Exam 5: Demand

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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.

(True/False)
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Harry has $10 to spend on cans of Coke and Pepsi, which he regards as perfect substitutes, one for one. Pepsi costs $.50 a can and Coke costs $.60 a can. Harry has 20 coupons, each of which can be used to buy 1 can of Coke for $.40. Which of the following bundles will Harry buy?

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If Charlie's utility function is X5AXB, 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

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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.

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Ray Starr has the utility function Ray Starr has the utility function   .  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 =   , 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. . 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 = Ray Starr has the utility function   .  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 =   , 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. , 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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Cecil consumes x1 and x2 in fixed proportions. He consumes A units of good 1 with B units of good 2. To solve for his demand functions for goods 1 and 2,

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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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If the demand curve is a downward-sloping straight line, then the price elasticity of demand is constant all along the demand curve.

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

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If preferences are quasilinear, then for very high incomes the income offer curve is a straight line parallel to one of the axes.

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If there are two goods and if income doubles and the price of good 1 doubles while the price of good 2 stays constant, a consumer's demand for good

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Robert's utility function is U(x, y) = min{ 4x, 2x + y}. The price of x is $3 and the price of y is $1. Robert's income offer curve is

(Multiple Choice)
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A consumer has a utility function given by U = min{x1, 2x2}. If good 2 has a price of zero, the consumer will always prefer more of good 2 to less.

(True/False)
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Angela's utility function is Angela's utility function is   . It is possible that if her income is very high, an increase in income will not make her spend more on y. . It is possible that if her income is very high, an increase in income will not make her spend more on y.

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Darlene's utility function is U(x, y, z) = x4y8z. If her income doubles and prices remain unchanged, her demand for good y will more than double.

(True/False)
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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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Carlos consumes only two goods, apples and bananas. His utility function is U(a, b) = min{a, b}. Before trade, his initial endowment is wa apples and wb bananas. After he trades to his optimal consumption point at these prices, the relative prices change. Carlos is allowed to make further trades if he wishes.

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

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If Charlie's utility function were X4AXB and if apples cost 30 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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If consumers spend all of their income, it is impossible for all goods to be inferior goods.

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