16 Nov 2021
Problem 48
Page 308
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
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 ,