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Consider a potential trading relationship between a law firm and a business client. The marginal cost of production for the law firm is given by MC = 2q, where q is the quantity of legal services provided. The demand curve for the client is MB = 150 – q. Note, however, that it is difficult to ascertain how many unit of legal service are actually provided. To (partially) remedy this, the law firm can adopt a recording system at a cost of $150. Similarly, for $150 the client can implement an auditing system to try to verify the number of legal services actually provided by the law firm. However, even if both firms implement the auditing and recording systems, only 30 units of legal services will actually be traded. What is the total agency cost? a. $800 b. $900 c. $1000 d. $1100 e. None of the above

Question

Consider a potential trading relationship between a law firm and a business client. The marginal cost of production for the law firm is given by MC = 2q, where q is the quantity of legal services provided. The demand curve for the client is MB = 150 – q. Note, however, that it is difficult to ascertain how many unit of legal service are actually provided. To (partially) remedy this, the law firm can adopt a recording system at a cost of 150.Similarly,for150. Similarly, for 150 the client can implement an auditing system to try to verify the number of legal services actually provided by the law firm. However, even if both firms implement the auditing and recording systems, only 30 units of legal services will actually be traded. What is the total agency cost? a. 800b.800 b. 900 c. 1000d.1000 d. 1100 e. None of the above

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Solution

The total agency cost is the sum of the costs of the recording system for the law firm, the auditing system for the client, and the cost of the legal services that are actually traded.

The cost of the recording system for the law firm is 150.Thecostoftheauditingsystemfortheclientisalso150. The cost of the auditing system for the client is also 150. The cost of the legal services that are actually traded is given by the marginal cost of production times the quantity of legal services provided, which is 2q. Since only 30 units of legal services will actually be traded, this cost is 2*30 = $60.

Therefore, the total agency cost is 150+150 + 150 + 60=60 = 360.

So, the correct answer is e. None of the above.

This problem has been solved

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