All units in a 30-unit apartment building are rented outwhen the monthly rent is set at r = $1000/month. A survey reveals that for each $40increase in rent, one additional apartment becomes vacant. Suppose that each occupiedunit costs $120/month in maintenance. Which rent r maximizes monthly profit?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 30E
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All units in a 30-unit apartment building are rented out
when the monthly rent is set at r = $1000/month. A survey reveals that for each $40
increase in rent, one additional apartment becomes vacant. Suppose that each occupied
unit costs $120/month in maintenance. Which rent r maximizes monthly profit?

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