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?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.1: Systems Of Linear Equations: Two Variables
Problem 2SE: If you are performing a break-even analysis for a business and their cost and revenue equations are...
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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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