Mt. Nittany Property Management Company and Happy Valley Rentals are two different businesses that manage numerous apartments around town. Both companies use the same monthly profit model given by where x represents the number of apartments rented in a month and P(x) is in dollars. (a) Assuming Mt. Nittany Property Management Company manages 100 apartments, find the number of apartments they should rent out each month to maximize profits and calculate their maximum monthly profits. Number of apartments Maximum monthly profit dollars Number of apartments Maximum monthly profits P(x)=-12x² 1440x - 13300 (b) Assuming Happy Valley Rentals manages 50 apartments, find the number of apartments they should rent out each month to maximize profits and calculate their maximum monthly profits. dollars
Mt. Nittany Property Management Company and Happy Valley Rentals are two different businesses that manage numerous apartments around town. Both companies use the same monthly profit model given by where x represents the number of apartments rented in a month and P(x) is in dollars. (a) Assuming Mt. Nittany Property Management Company manages 100 apartments, find the number of apartments they should rent out each month to maximize profits and calculate their maximum monthly profits. Number of apartments Maximum monthly profit dollars Number of apartments Maximum monthly profits P(x)=-12x² 1440x - 13300 (b) Assuming Happy Valley Rentals manages 50 apartments, find the number of apartments they should rent out each month to maximize profits and calculate their maximum monthly profits. dollars
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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It is -12x2+1440x-13300 . Please if possible provide me in text so i can copy
Transcribed Image Text:Mt. Nittany Property Management Company and Happy Valley Rentals are two different businesses that manage numerous apartments around town. Both companies use the same
monthly profit model given by
where x represents the number of apartments rented in a month and P(x) is in dollars.
(a) Assuming Mt. Nittany Property Management Company manages 100 apartments, find the number of apartments they should rent out each month to maximize profits and calculate
their maximum monthly profits.
Number of apartments
Maximum monthly profit
dollars
Number of apartments
Maximum monthly profits
P(x)=-12x 1440x - 13300
(b) Assuming Happy Valley Rentals manages 50 apartments, find the number of apartments they should rent out each month to maximize profits and calculate their maximum monthly
profits.
dollars
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