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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
16 Nov 2021

Given information

Given :- The manager of a 100 unit apartment complex knows from experience that all units will be occupied if the rent is $800 per month. 

To find :- What rent should the manager charge to maximize revenue?

Step-by-step explanation

Step 1.

As per the given problem

Let price P as a function of occupied apartment x

Then the demand function which represents the cost of rent is given by

 

Revenue function = The product of per unit times the number of unit sold

 

 

Differentiate both sides , 

 

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