A company manufacturing laundry sinks has fixed costs of $100 per day but has total lcosts 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 the price of a laundry sink. (d) How many laundry sinks will the company need to produce in order to maximise it′s profits? (e) What is the maximum profit?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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(3) A company manufacturing laundry sinks has fixed costs of $100 per day but has total lcosts 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 the price of a laundry sink.

(d) How many laundry sinks will the company need to produce in order to maximise it′s profits?
(e) What is the maximum profit?

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