An apartment complex has 250 apartments to rent, if they rent x apartments then their monthly profit in roller is given by p(x)=-8x^2 + 3200x - 80000 How many apartments should they rent in order to maximize their profit?

1 Answer
Sean
Apr 10, 2018

#200#

Explanation:

.

The profit function is:

#p(x)=-8x^2+3200x-80000#

To find the maximum profit, we have to take the derivative of the profit function, set it equal to #0#, and solve for #X#. This would give us the #x#-coordinate of the maximum point of the function.

#p'(x)=(d(p(x)))/dx=-16x+3200=0#

#x=3200/16=200#

Related questions
Impact of this question
5368 views around the world
You can reuse this answer
Creative Commons License