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sipingboy · 2022年05月16日

202205mockB上午第46题

The monthly demand curve for playing tennis at a particular club is given by the following equation: PTennis Match = 9 – 0.20 × QTennis Match. The club currently charges members $4.00 to play a match but is considering adding a membership fee. If the club continues to charge the same per play charge, the most that it will be able to charge as a membership fee is closest to:


A $62.50.

B $162.50.

C $40.00.


A is correct. On rearrangement, the demand function is:

QTennis Match = 45 – 5.0 × PTennis Match

The number of matches played per month at $4.00/match = 45 – 5.0 × 4.00 = 25

The y-intercept of the demand curve occurs when Q = 0: P = 9

The x-intercept of the demand curve occurs when P = 0: Q = 45

In addition to the per play charge, the club will be able to charge the consumer surplus: the area under the demand curve above the current price per match to a total of 25 matches: 0.5 × ($9.00 – $4.00) × 25 = $62.50.


请老师解读下这道题,是从消费者剩余和价格歧视的角度思考吗?


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笛子_品职助教 · 2022年05月17日

嗨,努力学习的PZer你好:


In addition to the per play charge, the club will be able to charge the consumer surplus: 

=

If the club continues to charge the same per play charge, the most that it will be able to charge as a membership fee is closest to:


看懂题目问题,题目问的就是消费者剩余。只是换了一种表述。


消费者愿意支付的最高价(most)与实际支付的会员费之间的差值,就是消费者剩余的定义。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

笛子_品职助教 · 2022年05月16日

嗨,从没放弃的小努力你好:


这道题和价格歧视没关系,它只是在计算消费者剩余。消费者剩余是几何体,计算三角形面积。

从概念上理解消费者剩余,每个消费者出的最高价格,就是Q = 45 -5*P,在不同的Q上,每个消费者愿意出的最高价格不同。


现在统一定价4元,那么4元(三角形蓝色底边)和消费者愿意出的最高价格(三角形红色的斜边),之间的面积,就是消费者剩余。


比如,消费者愿意出8元,但是产品定价4元,消费者就会感觉很舒服,因为获得了“福利”


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努力的时光都是限量版,加油!

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