Answer to Question #260745 in Management for tila

Question #260745

An apartment complex has 250 apartments to rent. If they rent xx apartments then their monthly profit, in dollars, is given by, P(x) =−8x2+3200x−80,000P(x)=−8x2+3200x−80,000








How many apartments should they rent in order to maximize their profit?









1
Expert's answer
2021-11-04T07:37:02-0400

"P'(x)=-16x+3200=0"

"x=3200\/16=200"


"P(250)=220000"

"P(200)=240000"


"P(200)>P(250)"

So, it should be rented 200 apartments in order to maximize their profit.


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