Exam 2: Utility Maximization and Choice

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If utility is given by U(x,y)=x2+y2U ( x , y ) = x ^ { 2 } + y ^ { 2 } and px = 2,py = 3,I = 50,this person will choose

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The slope of the budget constraint line is

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An increase in an individual's income without changing relative prices will

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If an individual's indifference curve map does not obey the assumption of a diminishing MRS,then

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Suppose that at current consumption levels an individual's marginal utility of consuming an extra hot dog is 10 whereas the marginal utility of consuming an extra soft drink is 2.Then the MRS (of soft drinks for hot dogs)-- that is,the number of hot dogs the individual is willing to give up to get one more soft drink-is

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Suppose an individual's MRS (of steak for beer)is 2:1.That is,at the current consumption choices he or she is willing to give up 2 beers to get an extra steak.Suppose also that the price of a steak is $1 and a beer is 254.Then in order to increase utility the individual should

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If an individual's utility function for coffee (x)and cream (y)is given by U(x,y)= min (x,5y),the demand function for coffee is given by

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If an individual's utility function is given by U(x,y)=xyU ( x , y ) = \sqrt { x y } and I = 100, px = 1,py = 4,his or her preferred consumption bundle will be:

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Suppose utility is given by U(x,y)= ln x + ln y and px = 1,I = 10.If y must be purchased in whole units,what is the maximum price this person would pay for that good?

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An individual has a utility function for tennis rackets (x)and tennis balls (y)of the form U(x,y)= min (3x,y).His or her expenditure function is given by

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Suppose that an individual has a constant MRS of shoes for sneakers of : (that is,he or she is always willing to give up 3 pairs of sneakers to get 4 pairs of shoes).Then,if sneakers and shoes are equally costly,he or she will

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If the price of x falls,the budget constraint

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"If an individual is to maximize the utility received from consumption,he or she should spend all available income...." This statement assumes

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