Annie's Apartments is looking to maximize their revenue this year. Annie noticed that when rent was set at $300 that 100 of her units were occupied, but that when she raised her rent to $350 only 90 of her units were occupied. Assuming a linear relation between rent prices and number of units occupied, what price should Annie charge to maximize her revenue from Annie's Apartments? (You must show work that has you finding the revenue function as well as a critical value on that function.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Annie's Apartments is looking to maximize their revenue this year. Annie noticed that when rent was set at $300 that 100
of her units were occupied, but that when she raised her rent to $350 only 90 of her units were occupied. Assuming a linear
relation between rent prices and number of units occupied, what price should Annie charge to maximize her revenue from
Annie's Apartments? (You must show work that has you finding the revenue function as well as a critical value on that
function.)
Transcribed Image Text:Annie's Apartments is looking to maximize their revenue this year. Annie noticed that when rent was set at $300 that 100 of her units were occupied, but that when she raised her rent to $350 only 90 of her units were occupied. Assuming a linear relation between rent prices and number of units occupied, what price should Annie charge to maximize her revenue from Annie's Apartments? (You must show work that has you finding the revenue function as well as a critical value on that function.)
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