Exam 2: Utility Maximization and Choice

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Suppose utility is given by Suppose utility is given by   And p<sub>x</sub> = 1,I = 10.If y must be purchased in whole units,what is the maximum price this person would pay for that good? 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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assume that a person has a quasi-linear utility function of the form assume that a person has a quasi-linear utility function of the form   -​If   ,what is the utility maximizing commodity bundle? -​If assume that a person has a quasi-linear utility function of the form   -​If   ,what is the utility maximizing commodity bundle? ,what is the utility maximizing commodity bundle?

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An individual has a utility function for tennis rackets (x)and tennis balls (y)of the form An individual has a utility function for tennis rackets (x)and tennis balls (y)of the form   His or her expenditure function is given by: His or her expenditure function is given by:

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If the price of x falls,the budget constraint:

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Suppose that an individual has a constant MRS of shoes for sneakers of 4:3 (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 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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assume that a person has a quasi-linear utility function of the form assume that a person has a quasi-linear utility function of the form   -If this person starts from a utility maximizing position,an increase in income will cause:​ -If this person starts from a utility maximizing position,an increase in income will cause:​

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

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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 $4.Then in order to increase utility the individual should:

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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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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 utility is given by If utility is given by   And p<sub>x</sub> = 2,p<sub>y</sub> = 3,I = 50,this person will choose: And px = 2,py = 3,I = 50,this person will choose:

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If an individual's utility function is given by If an individual's utility function is given by   And I = 100,p<sub>x</sub> = 1,p<sub>y</sub> = 4,his or her preferred consumption bundle will be: And I = 100,px = 1,py = 4,his or her preferred consumption bundle will be:

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