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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) = -10 x^2 + 1780 x - 54,000
To maximize the monthly rental profit, how many units should be rented out?

What is the maximum monthly profit realizable?

  • Precalculus -

    You know that for the parabola
    y = ax^2 + bx + c

    the vertex (maximum in this case) is at x = -b/2a

    So, plug and chug.

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