Exam 3: Demand Theory

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If goods A and B are complements:

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Suppose your income doubled and, at the same time, the prices of all goods doubled. Suppose you continue to purchase exactly the same bundle as before. What would the law of demand suggest about this behaviour?

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A consumer's demand functions depend on:

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Brad lives in a two good world consisting of x and y. Brad has a budget of B = 120 and an endowment of good x equal to 90 units. Brad can either buy or sell good x in a common market for the price px. The price of y is 1. Brad's utility function is of the form U(x,y)= xy a)Write down Brad's budget constraint. b)Find expressions for Brad's demand functions for x and y. c)At what values of px is Brad a net buyer of good x , at what values is he a net seller, and at what price does Brad's demand for x just equal his endowment?

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Marc consumes apples (x)and oranges (y). If Marc's demand function for apples is given by: x = Mpy/2px and Marc's demand for oranges is given by: x = Mpx/2py, then apples and oranges are:

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Mr. Inflexible's utility function is U(x1,x2)= min(x1,x2). The price of x1 is $1, the price of x2 is $2, and Mr. Inflexible's budget is $120. If Mr. Inflexible were given the choice between a lump- sum tax and an excise tax which raised the same amount of tax revenue, then:

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If good x1 is a substitute for good x2, then the cross price elasticity of demand for x1 with respect to the price of x2 is:

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Figure 3A Figure 3A   -The Engel curves associated with the indifference map in Figure 3A are: -The Engel curves associated with the indifference map in Figure 3A are:

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Sally consumes two goods, X and Y. Her utility function is given by the expression U(X,Y)= X0.4Y0.6 . The current market price of X is $20 per unit, while the market price of Y is $100 per unit. Sally's current income is $10,000. a)Calculate Sally's demand for X as a function of prices and incomes. Is good X normal? b)How much X and Y will Sally demand at current market prices? What will Sally's utility be with that consumption? c)Find the income elasticity and the price elasticity of demand for X.

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If Amy spent her entire allowance, she could afford 8 candy bars and 8 comic books a week. She could also just afford 10 candy bars and 4 comic books a week. The price of a candy bar is 50 cents. a)Draw Amy's budget line. b)What is the price of a comic book? c)What is Amy's weekly allowance?

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When the price elasticity of demand for x is greater than one:

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Beth consumes two goods, x1 and x2, and her income is $120. The price of x1 is $10, and the price of X2 is $5. The consumption bundle (4, 18)is:

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Figure 3B Figure 3B   -Which of the following is the pretax budget line in Figure 3B? -Which of the following is the pretax budget line in Figure 3B?

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If two linear demand functions intersect the quantity axis at the same point, then:

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Tammy spent all of the money in her purse to buy 5 plates of spaghetti and 6 burgers. Spaghetti costs $8 per plate and she had $82 in her purse. If s denotes the number of plates of spaghetti and b denotes the number of burgers purchased, which equation describes the budget line of Tammy?

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Which of the following will not cause a change in the demand for butter?

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Richie's demand function for comic books is x = 30 - 10p where p is the price in dollars and x is the quantity he demands. If the price of comic books is $0.5, what is Richie's price elasticity of demand for comic books?

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A temporal choice problem involves:

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Joseph's utility function is given by xA + 2xB, where xA denotes his consumption of apples and xB his consumption of bananas. Suppose a banana cost 50 cents and an apple costs also 50 cents. If his income is $10, then his consumption bundle (xA,xB)is:

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In order for a maker of cellophane not to be charged with monopolizing the market, the cross- price elasticity of cellophane and other packaging products has to be:

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