You are the manager of an apartment complex with 50 units. When you set rent at 800 USD/month, all apartments are rented. As you increase rent by 25 USD/month, one fewer apartment is rented. Maintenance costs run 50 USD/month for each occupied unit. What is the rent that maximizes the total amount of profit?

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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You are the manager of an apartment complex with 50 units. When you set rent at 800 USD/month, all apartments are rented. As you increase rent by 25 USD/month, one fewer apartment is rented. Maintenance costs run 50 USD/month for each occupied unit. What is the rent that maximizes the total amount of profit?

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