(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. (c) If production increases continuously, what is likely to be the average cost per sink?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.
(c) If production increases continuously, what is likely to be the average cost per sink?
Transcribed Image Text:(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. (c) If production increases continuously, what is likely to be the average cost per sink?
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