假设对某种商品的需求方程是Q^4=1000-2P,供给方程是q^3=-200+P。(1)计算P=250时的需求价格弹性。(2)计算均衡价格和数量
第2题
设某种商品的需求函数为
,a,b,c>0且a>bc,
其中p为价格,Q为需求量.求最大收益.
第3题
A.4x1+2x2=100
B.x1/4+x2/2=100
C.2x1+4x2=100
D.x1/2+x2/4=100
第5题
假设你在管理一座营运成本基本上为零的收费桥。过桥需求的Q由P=15-(1/2)Q给出。
(1)画出过桥服务的需求曲线。
(2)如果不收费,会有多少人通过该桥?
(3)如果过桥费是5美元,相对应的消费者剩余的损失是多少?
(4)该收费桥的运营方打算把价格上升至7美元。在这一相对较高的价格上,会有多少人通过该桥?该收费桥的收益是上升还是下降了?从你的答案出发,你对需求弹性有何判断?
(5)求与价格从5美元上升到7美元相对应的消费者剩余的损失。
Suppose you are in charge of a toll bridge that costs essentially nothing to operate. The demand for bridge crossing Q is given by P=15-(1/2)Q.
a. Draw the demand curve for bridge crossings.
b, How many people would cross the bridge if there were no toll?
C. What is the loss of consumer surplus associated with a bridge toll of $ 5?
d. The toll - bridge operator is considering an increase in the toll to $7. Al this higher price ,how many people would cross the bridge? Would the toll bridge revenue increase or decrease? What does your answer tell you about the elasticity of demand?
e. Find the lost consumer surplus associated with the increase in the price of the toll from $5to $7.
第6题
表示商品1和商品2的数量,线段AB为消费者的预算线,曲线
U为消费者的无差异曲线,E点为效用最大化的均衡点。已知商品1的价格P1=2元。
(1)求消费者的收入;
(2)求商品2的价格P2;
(3)写出预算线方程;
(4)求预算线的斜率;
(5)求E点的MRS12的值。
第11题
(1)找出利润最大化时的L数量。
(2)找出利润最大化时的q数量。
(3)最大化利润是多少?
(4)假设现在每单位的产出要征税30美元,而每小时的劳动能得到15美元的补助。并且假设企业是价格接受者,所以产品价格保持150美元不变。找出新的利润最大化的L、q和利润。
(5)假设企业要为利润支付20%的税额。找出新的利润最大化的L、q和利润。
A firm uses a single input, labor, to produce output q according to the production function q =8√L. The commodity sells for S 150 per unit and the wage rule is $ 75 per hour.
a. Find the profit - maximizing quantity of L.
b. Find the profit - maximizing quantity of q.
c. What is the maximum profit?
d. Suppose now that the firm is taxed $ 30 per unit of output and that the wage rate is subsidized at a rate of $ 15 per hour. Assume that the firm is a price taker, so the price of the product remains at $ 150. Find the new profit - maximizing levels of L, q, and profit.
e. Now suppose that the firm is required to pay a 20 percent lax on its profit. Find the new profit - maximizing levels of L, q, and profit.