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Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) realized from renting out x apartments is given by the following function.

p(x)=-10x^2+1700x-43,000

To maximize the monthly rental profit, how many units should be rented out?

? units

What is the maximum monthly profit realizable?

$ ?

  • math -

    dp/dx = 0,
    or

    -20x + 1700 = 0

    Solve this for x for part 1, then plug this value of x into p(x) for the answer to part 2

  • math -

    ok I got 85 for part a and that was right. But i plugged it into part B and got 115,250....but that was wrong. What am I doing wrong?

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