科目：個體經濟學 教授：劉鶯釧 試別：期中考 時間：93年11月11日 by　　neverneverfu 試題 : １．（２４％） A man I know says,"X is all right,but I can take or leave Y. If you give me more X,my utility always goes up,but if you give me more Y,my utility stays the same." (a)Let the budget be M. Draw this man's indifference map for X and Y.and the budget constraint. Use these to drive his demand curve for X. Show on you -r graph and describe the mathematical form. (b)What is his own-price elasticity of demand for X when Px = $10 ? (c)Derive his Engel Curve for X. Show on your graph and describe the methmat -ical form. (d)What is his income elasticity of demand for X when M = $100 ? ２．（１０％） 　All goods cannot be inferior goods. True or false? Use indifference curves and budget lines to explain your answer. ３．（２４％） 　Utility function of X and Y for a consumer are given by: U(X,Y) = X^0.2．Y^0.8 (a)Derive the consumer's demand function for X and Y. (b)What fraction (share) of her total income does this cnsumer spend on X ? What fraction does she spend on Y ? Justify. (c)Suppose M = $100,Px = $5,and Py = $5. What are the equilibrium quantity of X and Y . (d)If the price of X increases to Px = $10,calcilate the total price effect on X,and the change of the total utility U(X,Y). Show on your graph. ４．（１０％） 　Suppose one day your local shoe store has a sale where they charge $9 for a right shoe and $1 for the left shoe. You maximize your utility by buying one pair of shoes. Now suppose the next week,the same shoe store offers a sale where they charge $9 for a left shoe and $1 for a right shoe. Will the change in prices lead to a change in the amount of shoes you purchase? Explain,using a graph. ５．（１０％） 　Compare the effects of a program where the government subsidizes the price of school lunches for low-income families versus a program where the families are given equivalent cash transfers. Under which program are the recipients better off? Show on your graph and explain. ６．（１０％） 　Ben has an income of $2,500 and the price of other goods is $1. He has two cellular phoneplan options. Plan 1 is a $1.30-per-minute plan for all calls. Plan 2 offers up to 1,000 minutes for a flat fee of $100 with each minute affter that costing $0.25. Draw his budget line. Is it possible for Ben to prefer Plan 1 to Plan 2? Explain,using a graph. ７．（１２％） 　(1)( ) If the demand for a good is perfectly inelastic,then the good must be a(n) (a)normal good (b)inferior good (c)Giffen good (d)indeterminate (2)( ) Every point on a consumer's demand curve represents a (a)point of utility maximization (b)point of utility minimization (c)point of income maximization (d)point of income minimization (3)( ) With a school voucher program,in which education measured on the horizontal axis and other goods measured on the vertical axis,a family that is more likely to opt for public school education is one is which (a)their indifference curve between education and other goods is fairl -y flat (b)their indifference curve between education and other goods is fairly steep (c)their budget constraint is fairly flat (d)their bud -get constraint is fairly flat (4)( ) Instead of imposing an excise tax on Good X,suppose the government decide to impose an income tax that will yield the same amount of tax revenue as the excise tax. If unit of Good X are measured along the horizontal axis and units of other goods are measured along the verti -cal axis,the imposition of the tax will cause (a)the budget constraint to rotate to the right,along the horizintal axis (b)the budget constraint to rotate to the left,along the horizintal axis (c)the budget constraint to shift to the right,parallet to the origin -al budget constraint (d)the budget constraint to shift to the left,parallet to the original budget constraint ---------------------------------------------------------------------- ∮完卷∮ -- 陷自己於忙碌之中　也許不寂寞但卻很孤獨...... 陪伴的人也許很多　不孤獨卻不代表不寂寞...... --

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