Exam 4: Choice-Part A

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Our old friend, Edmund Stench, of Chapter 2 loves punk rock video tapes.He has no income and therefore has to accept garbage in his backyard in return for money.Each video tape cost $2 and each sack of garbage that he accepts brings him $1.His utility function is given by U(c, g)= min{2c, 20 - g}, where c is the number of video tapes and g is the number of sacks of garbage that he gets per month.Each month he will choose to accept

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Ed and Al both consume only bread and cheese.Both of them always choose to have some bread and some cheese, and both have strictly convex preferences.However, Ed likes to have a great deal of bread with a little cheese, and Al likes lots of cheese with a little bread.Both face the same prices for both goods and have chosen bundles to maximize their utilities subject to their budgets.

(Multiple Choice)
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Badger Madison consumes only beer and sausages.His income is $100.Beer costs him $.50 per can and sausages cost $1 each.Where x is the number of cans of beer and y the number of sausages he consumes per week, Badger's utility function is U(x, y)=-[(x - 50)2 + (y - 40)2].

(Multiple Choice)
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Other things being equal, a lump sum tax is at least as good for a consumer as a sales tax that collects the same revenue from him.

(True/False)
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Ambrose's utility function is U(x1, x2)=4x1/21 + x2.If the price of nuts (good 1)is $1, the price of berries (good 2)is $5, and his income is $145, how many units of nuts will Ambrose choose?

(Multiple Choice)
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At a boundary optimum, a consumer's indifference curve must be tangent to her budget line.

(True/False)
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Wanda Littlemore's utility function is U(x, y)= x + 47y - 3y2.Her income is $107.If the price of x is $1 and the price of y is $23, how many units of good x will Wanda demand?

(Multiple Choice)
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Mary Granola consumes apples and uglifruits.Mary's indifference curves are kinky.When she is consuming more apples than uglifruits, she is just willing to trade 3 apples for 1 uglifruit.When she is consuming more uglifruits than apples, she is just willing to trade 4 uglifruits for 1 apple.Let P1 be the price of uglifruits and P2 the price of apples.Mary maximizes her utility subject to her budget constraint.(Hint: Sketch one of her indifference curves.)

(Multiple Choice)
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Mary Granola consumes tomatoes and nectarines.Mary's indifference curves are kinky.When she is consuming more tomatoes than nectarines, she is just willing to trade 3 tomatoes for 1 nectarine.When she is consuming more nectarines than tomatoes, she is just willing to trade 4 nectarines for 1 tomato.Let P1 be the price of nectarines, and P2 the price of tomatoes.Mary maximizes her utility subject to her budget constraint.(Hint: Sketch one of her indifference curves.)

(Multiple Choice)
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Max has a utility function U(x, y)= 2xy + 1.The prices of x and y are both $1 and Max has an income of $20. a.How much of each good will he demand? b.A tax is placed on x so that x now costs Max $2 while his income and the price of y stay the same.How much of good x does he now demand? c.Would Max be as well off as he was before the tax if when the tax was imposed, his income rose by an amount equal to $1 times the answer to part (b)?

(Short Answer)
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Sharon spends all of her income on peaches and strawberries.Peaches are a normal good for her.Her income increased by 20 percent and prices did not change.Her consumption of strawberries could not have increased by more than 20 percent.

(True/False)
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The prices of goods x and y are each $1.Jane has $20 to spend and is considering choosing 10 units of x and 10 units of y.Jane has nice convex preferences and more of each good is better for her.Where x is drawn on the horizontal axis and y is drawn on the vertical axis, the slope of her indifference curve at the bundle (10, 10)is -2.

(Multiple Choice)
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Charlie's utility function is U(x, y)= xy2.His marginal rate of substitution between x and y does not change if the amount of both goods doubles.

(True/False)
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Millie's utility function is U(x, y)=min{x, y}.She maximizes her utility subject to a budget constraint.The price of x is the same as the price of y.If the price of x rises and the price of y and her income remain constant, then her consumption of y will certainly decrease.

(True/False)
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Mary Granola's utility function is U(x, y)= min{x + 2y, y + 2x}.Mary maximizes her utility subject to a budget constraint.If she chooses the bundle (5, 6), then the price of x must be exactly twice the price of y.

(True/False)
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Hans has $27 which he decides to spend on x and y.Commodity x costs $16 per unit and commodity y costs $10 per unit.He has the utility function U(x, y)= 5x2 +2y2 and he can purchase fractional units of x and y.Hans will choose

(Multiple Choice)
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Wanda Littlemore's utility function is U(x, y)= x + 46y - 2y2.Her income is $135.If the price of x is $1 and the price of y is $18, how many units of good x will Wanda demand?

(Multiple Choice)
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As you may know, Mungoites each have two left feet and one right foot.Their preferences for left and right shoes display perfect complementarity.Mungoites find shoes useful only in trios of two lefts and a right.The price of each type of shoe is $10 a shoe, and Mungoites consume nothing other than shoes.A Mungoite's Engel curve for right shoes has the equation

(Multiple Choice)
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Martha's utility function is U(x, y)= min{x + 2y, 2x + y}.George's utility function is U(x, y)=min{2x + 4y, 4x + 2y}.If George and Martha have the same income and face the same prices for the goods x and y,

(Multiple Choice)
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Which of the following could possibly change a rational consumer's demand?

(Multiple Choice)
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