A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500 per day when producing 15 sinks. The company has a daily demand function of q = 360 − p, where q is the number if laundry sinks demanded and p is te price of a laundry sink. a) If we assume that the total cost per day is linearly related to the amount of sinks produced in a day, derive the total cost function of the company? b) Find a function for the average cost of this company.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter10: Cost Functions
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(3) A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500 per day when producing 15 sinks. The company has a daily demand function of q = 360 − p, where q is the number if laundry sinks demanded and p is te price of a laundry sink.

a) If we assume that the total cost per day is linearly related to the amount of sinks produced in a day, derive the total cost function of the company?

b) Find a function for the average cost of this company.

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