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課程名稱︰個體經濟學一
課程性質︰必修
課程教師︰黃景沂
開課學院：社科院
開課系所︰經濟系
考試日期（年月日）︰2009/1/5
考試時限（分鐘）：180 min
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
Final Exam
You have to provide explanations for all of your answers.
1.The demand for apartment is D(p)=100-20p. The supply for apartment
is S(p)=30p. Suppose that the government subsidizes consumers to
buy apartment, and the subsidyis $2 for every unit of apartment.
(a) (5%) How much is the deadweight loss of the subsidy policy?
(b) (5%) Why does the subsidy policy cause deadweight loss?
2.When the market for teachers is competitive, the demand for teachers
is D(p)=100-10p and the supply for teachers is S(p)=10p.
(a) (5%) How much is the social gain if the market for teachers is
perfectly competitive?
(b) (10%) Suppose the government is the owner of all schools. It promises
to hire anyone who wants to be a teacher at the price $6. How many
people are hired as a teacher? Assume that the marginal value of a
teacher is the same as that in part (a). How much is the social
gain in the market for teachers? How much is the deadweight loss?
3.(10%) Parking space is in short supply at National Taiwan University.
At a cost of $10,000, the University has just constructed a new parking
lot containing 100 parking spaces. Suppose that the University sell them
at a price of $100 apiece. Are the spaces are allocated efficiently?
Why or why not?
4.Consider an economy in the Edgeworth box with two persons, A and B, and
two goods, X and Y. Suppose the utility function of A and B are both
U(x,y)=(xy)^(1/2).<<根號(xy)>> There are 100 units of x and 100 units
of y in this economy.
(a) (5%) Find out all Pareto-optimal points.
(b) (10%) A's the endowment point is (20,50). B's endowment point is
(80,50). At what price will the two-person economy achieve an
equilibrium? How much will A consume x and y?
5.Suppose that every DRAM company is perfectly competitve. The production
function of a DRAM company is q=L+K^(1/2)<<L加根號K>>, where L is the
number of labor inputs and K is the number of capital inputs. The wage for
one unit of labor is $10 and the rent for one unit of capital is $40.
(a) (10%) What is the company's short-run marginal cost curve when it can
only adjust the number of labor inputs but its capital is fixed at
16 units?
(b) (10%) What is the company's long-run marginal cost curve when both labor
and capital are adjustable?
(c) (5%) Does the production of DRAM exhibit constant, increasing, or
decreasing return to scale?
6.Suppose that X is a perfectly competitive industry. Every firm has the same
cost function. It is a constant cost industry. The variable cost of
producing q units of X is VC(q)=25q^2 for each firm. Every firm in the
industry incurs a fixed cost (for example, a licence fee) of $225, which
cannot be avoided even when it shut down. The fixed cost can be avoided only
if the firm exits the industry. The demand for X is D(p)=1980-5p.
(a) (5%) What is the long-run equilibrium price in the industry? How many
firms are there in the industry in the long run?
(b) Suppose the government requires every firm to pay $175 as long as the
firm produces any positive amount of X. If the firm chooses to shut down
or exit, it does not have to make the $175 payment.
i. (10%) The number of firms is unchanged in the short run. What is the
short-run equilibrium price and quantity in the industry after the
policy is implemented? Does any firm choose to shut down?
ii. (10%) What is the long-run equilibrium price and quantity in the
industry after the policy is implemented? How many firms are there
in the new long-run equilibrium?
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※ 編輯: rbkii 來自: 61.229.153.138 (01/16 21:25)