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?
"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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