Exam 6: Revealed Preference

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When prices are ($4, $2), Tomoko chooses the bundle (9, 18), and when prices are ($1, $2), she chooses the bundle (8, 14).

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At prices (p1, p2) = ($4, $1), George buys the bundle (x1, x2) = (10, 20). At prices At prices (p1, p2) = ($4, $1), George buys the bundle (x<sub>1</sub>, x<sub>2</sub>) = (10, 20). At prices   = ($1, $4), he buys the bundle   = (4, 14). At prices   , he buys the bundle   = (20, 10). If his preferences satisfy the strong axiom of revealed preferences, then it must be that = ($1, $4), he buys the bundle At prices (p1, p2) = ($4, $1), George buys the bundle (x<sub>1</sub>, x<sub>2</sub>) = (10, 20). At prices   = ($1, $4), he buys the bundle   = (4, 14). At prices   , he buys the bundle   = (20, 10). If his preferences satisfy the strong axiom of revealed preferences, then it must be that = (4, 14). At prices At prices (p1, p2) = ($4, $1), George buys the bundle (x<sub>1</sub>, x<sub>2</sub>) = (10, 20). At prices   = ($1, $4), he buys the bundle   = (4, 14). At prices   , he buys the bundle   = (20, 10). If his preferences satisfy the strong axiom of revealed preferences, then it must be that , he buys the bundle At prices (p1, p2) = ($4, $1), George buys the bundle (x<sub>1</sub>, x<sub>2</sub>) = (10, 20). At prices   = ($1, $4), he buys the bundle   = (4, 14). At prices   , he buys the bundle   = (20, 10). If his preferences satisfy the strong axiom of revealed preferences, then it must be that = (20, 10). If his preferences satisfy the strong axiom of revealed preferences, then it must be that

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Hillary has an initial endowment of $500 and is interested in two things: how many visits she can make to the doctor and how much money will be left over to spend on other things. When a trip to the doctor costs $60, Hillary sees the doctor 3 times. After health care reform, a visit to the doctor will cost $10 but her taxes will rise by $170.

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When the prices were ($5, $1), Vanessa chose the bundle (x, y) = (6, 3). Now at the new prices, (px, py), she chooses the bundle (x, y) = (5, 7). For Vanessa's behavior to be consistent with the weak axiom of revealed preference, it must be that

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The Laspeyres price index differs from the Paasche price index because the Laspeyres index holds prices constant and varies quantities while the Paasche price index holds quantities constant and varies prices.

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It follows from the weak axiom of revealed preference that if a consumer chooses x when he could afford y and chooses y when he could afford x, then his income must have changed between the two observations.

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The strong axiom of revealed preference says that if a consumer bought x when he could have afforded y and bought y when he could have afforded z, then he will buy x whenever he can afford z.

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Maria consumes strawberries which cost her 10 pesos a box and bananas which cost her 9 pesos a bunch. With her income of 192 pesos she buys 12 boxes of strawberries and 8 bananas. Daphne, with an income of 170 shillings, consumes strawberries at a cost of 6 shillings each and bananas at a cost of 12 shillings each. Assuming their preferences are identical,

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Jose consumes rare books which cost him 8 pesos each and pieces of antique furniture which cost him 10 pesos each. He spends his entire income to buy 9 rare books and 11 pieces of antique furniture. Nigel has the same preferences as Jose, but faces different prices and has a different income. Nigel has an income of 162 pounds. He buys rare books at a cost of 4 pounds each and pieces of antique furniture at a cost of 11 pounds each.

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If all prices increase by 20%,

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In 1991, good x cost $5 and good y cost $1. They now cost $9 and $5 respectively. In 1991 the consumption bundle of x and y was 4 x's and 5 y's. It is now 9 x's and 7 y's. Calculate the Laspeyres index of current prices relative to 1991 prices rounded to one decimal place. (Remember the Laspeyres index uses the old quantities for weights.)

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Consider the case of Ronald. Let the prices and consumptions in the base year be as in situation D, where p1 = 3, p2 = 1, x1 = 5, and x2 = 15. If in the current year, the price of good 1 is $1 and the price of good 2 is $4, and Ronald's current consumptions of good 1 and good 2 are 25 and 5 respectively, what is the Laspeyres price index of current prices relative to base year prices? (Pick the most nearly correct answer.)

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When prices are ($2, $4), Ms. Consumer chooses the bundle (7, 9), and when prices are ($15, $3), she chooses the bundle (10, 3). Is her behavior consistent with the weak axiom of revealed preference?

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Howard Send is deciding whether to keep his car when he moves to New York City. To operate his car for a year, he would have to pay a flat fee of $6,000 for auto insurance and parking, plus $.20 for every mile that he drives for gasoline and repairs. Alternatively, he could give his car to his brother-in-law in Buffalo (the market value of the car is negligible) and take taxicabs in New York, which cost $1 a mile. Howard knows that if he took the car to New York he would drive 6,500 miles per year. If he places no value, positive or negative, on his brother-in-law's getting the car and if he is indifferent between riding a cab and driving, he should

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When prices are ($6, $3), Holly chooses the bundle (9, 18), and when prices are ($1, $2), she chooses the bundle (8, 14).

(Multiple Choice)
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A student spends all of her income on pizza and books. When pizzas cost $3 each and books cost $10 each, she consumed 30 pizzas and 3 books per month. The price of pizzas fell to $2.90 each while the price of books rose to $11 each. The price change

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For a consumer who has an allowance to spend and no endowment of goods, a decrease in the price of an inferior good consumed makes him better off.

(True/False)
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Remember that the Laspeyres price index uses the old quantities for the weights. In 1991, good x cost $2 and good y cost $1. The current price of good x is $6 and the current price of good y is $2. In 1971 the consumption bundle was (x, y) = (3, 6). The current consumption bundle is (x, y) = (6, 4). The Laspeyres index of current prices relative to 1991 prices is closest to which of the following numbers?

(Multiple Choice)
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When prices are ($2, $10), Emil chooses the bundle (1, 6), and when prices are ($12, $4), he chooses the bundle (7, 2).

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Hillary has an initial endowment of $500 and is interested in two things: how many visits she can make to the doctor and how much money will be left over to spend on other things. When a trip to the doctor costs $60, Hillary sees the doctor 2 times. After health care reform, a visit to the doctor will cost $10 but her taxes will rise by $100. a. Explain what conditions are necessary for Hillary to be made better off by health care reform. b. Is it possible to tell whether Hillary has been made better off with the given information? c. Explain what conditions are necessary for Hillary to be made worse off by health care reform. d. Is it possible to tell whether Hillary has been made worse off with the given information?

(Essay)
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