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經濟學達人請幫幫忙(英文題)國立大學佳

2.A Jazz club owner has both young and old customers.

The demand for drinks by a typical young customer is Q(young customer ) =18-3P .

The demand for drinks by a typical old customer is Q(old customer) =10-2P .

The marginal cost of each drink is $2.

(a)If the owner could separate the groups and practice third-degree price discrimination, what price per drink would be charged to each group? And the profits?

(b) What price will the owner ser if he cannot discriminate between the two groups? And the profit?

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1 Answer

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  • 1 decade ago
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    (a)年輕人對飲料的反需求函數P=6-1/3Q,TR=P*Q=6Q-1/3Q^2,MR(利用Q對TR微分)=6-2/3Q

    令MR=MC後可得Q=6 P=4 利潤=TR-TC=6*4-6*2=12

    同理可求得老人對飲料的訂價Q=3 P=3.5 利潤=4.5

    (b)先將兩個族群的需求函數加總得Q=28-5P後導出反需求函數P=5.6-0.2Q,TR=5.6Q-0.2Q^2,MR=5.6-0.4Q

    利用MR=MC求得Q=9 P=3.8 利潤=16.2

    由上可知若可對兩個族群做差別訂價所得之利潤為16.5將大於無法對兩族群差別訂價之利潤16.2

    Source(s): 私立大學學生
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