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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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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.

 How many laundry sinks will the company need to produce in order to maximise it′s profits?


 What is the maximum profit?

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