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Susie · 2023年03月15日

这题的3200哪来的?

NO.PZ2022071403000039

问题如下:

Question

A power generation company is a monopoly that has very high barriers to entry. The quantity demand (QD) for its product is QD = 800 – 0.25 × P (where P is price). The slope of the marginal revenue curve is closest to:

选项:

A.–0.25. B.–8.00. C.–4.00.

解释:

Solution

B is correct. Solve for P from the quantity demanded:

Q = 800 – 0.25P

P = 3,200 – 4Q

TR = P × Q = 3,200Q – 4Q2

MR = ΔTR/ΔQ = 3,200 – 8Q

Therefore, the slope of the curve is –8.

A is incorrect because it is the slope of the quantity demanded.

C is incorrect because it is the slope of the demand curve (–1/0.25) when P is a function of Q.



1 个答案

笛子_品职助教 · 2023年03月15日

嗨,爱思考的PZer你好:


这题的3200哪来的?


Hello,亲爱的同学!

3200元是公式变形得出来的。


我们已知:

Q = 800 – 0.25P

那么把这个公式进行变换


把P移到右边:0.25P = 800-Q

等式两边同时乘以4:P = 600*4 -4Q,得出:P= 3200-4Q

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