题目内容
（请给出正确答案）
假定某企业的短期成本函数是TC(Q)=Q3-10Q2+17Q+66：
(1)指出该短期成本函数中的可变成本部分和不变成本部分;
(2)写出下列相应的函数：SAC(Q)、AVC(Q)、AFC(Q)和MC(Q)。
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更多“假定某企业的短期成本函数是TC(Q)=Q3-10Q2+17Q…”相关的问题
某公司的短期总成本函数由等式TC=200+55q给出，式中，TC为总成本; q为总产出数量;两者均以千计。
(1)该公司的固定成本是多少？
(2)如果该公司生产了100000单位的产品，它的平均可变成本是多少？
(3)其所生产的单位产品的边际成本是多少？
(4)其平均固定成本是多少？
(5)假定该公司通过贷款扩大生产规模，其固定成本增加5000美元，但其可变成本降至每1000单位产品45000美元，利率i也进入成本函数。利率每上升1%，成本增加3000美元。写出新的成本函数。
The short - run cost function of a company is given by the equation TC = 200 +55q, where TC is the total cost and q is the total quaintly of output ，both measured in thousands.
a. What is the company' s fixed cost？
b. If the company produced 100000 units of goods, what is its average variable cost？
c. What would be its marginal cost of production？
d. What would be its average fixed cost？
e. Suppose the company borrow money and expands its factory. Its fixed cost rises by
$ 50000, but its variable cost falls to $ 45000 per 1000 units. The cost of interest (i) also enters into the equation. Each one-point increase in the interest rate raises costs by $ 3000. Write the new cost equation.
某企业以变动要素L生产产品X，短期生产函数为q=12L+6L2-0.1L3 (1)APL最大时，需雇佣多少工人？ (2)MPL最大时，需雇佣多少工人？ (3)APK最大时，需雇佣多少工人？
Q为产量水平，总收益TR和总成本函数TC如下表所示：
求：(1)绘制TR曲线;
(2)绘制边际成本(MC)曲线;
(3)分别以平均成本、TR为管理目标，求生产者的最适产量水平
(1)企业目前的产量为100单位，成本最小化的劳动和资本分别为20和5。在图上用等产量线和等成本线表示出来。
(2)企业想将产量扩大为140单位，如果资本在短期固定，需要多少劳动？在图形上表示出来，并计算企业新的成本。
(3)在图形上表示出企业在长期生产140单位产品的成本最小化劳动和资本投入。
(4)如果边际技术替代率为K/L,计算生产140单位产品的最优劳动和资本投入。
Suppose that a firm' s production is q= 10L1/2K1/2. The cost of a unit of labor is $ 20 and the cost of a unit of capital is $ 80. a The firm is currently production 100 unis of output and has determined that the cost - mini-mizing quantities of labor and capital are 20 and 5, respectively. Graphically illustrate this using isoquants and isocost lines.
b，The firm now wants to increase output to 140 units. If capital is fixed in the short run, how much labor will the firm require？ Illustrator this graphically and find the firms new total cost.
c. Graphically identify the cost - minimizing level of capital and labor in the long run if the firm wants to produce 140 units.
d. If the marginal rate of technical substitution is K/L, find the optimal level of capital and labor required to produce the 140 units of output.
一家竞争性厂商的短期成本函数如下:
C(q)=q3-8q3+30q+5
(1)求出MC、AC和AVC,并在图形上表示出来。
(2)当价格位于哪一区间时厂商产量为零？
(3)在图上标出厂商的供给曲线。
(4)当价格为多少时企业产量为6？
A competitive firm has the fallowing short - run cost function: C(q)=q3-8q2+30q+5.
a. Find MC, AC, and AVC and sketch them on a graph.
b. Al what range of prices will the firm supply zero output？
e. Identify the firm's supply curve on your graph.
d. At what price would the firm supply exactly 6 units of output？
已知生产函数Q=f(L，K)=2KL-0.5L2-0.5K2，假定厂商目前处于短期生产，且K=10。
(1)写出在短期生产中该厂商关于劳动的总产量TPL函数、劳动的平均产量APL函数和劳动的边际产量MPL函数。
(2)分别计算当劳动的总产量TPL劳动的平均产量APL和劳动的边际产量MPL各自达到极大值时的厂商的劳动投入量。
(3)什么时候APL=MPL？它的值又是多少？
函数至少在取a、b、c、d四个参数值时与U形平均成本曲线相一致。
Suppose the long - run total cost function for an industry is given by the cubic equation TC =a+bq+cq2+dq3. Show (using calculus ) that this total cost function is consistent with a U - shaped average cost curve for at least some values of a, b, c, d.
