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The amount of revenue a company makes per day by selling x items is given by the function f(x) = 14x - 0.2x2. How many items should be sold if the company wants to maximize their profit?

  • math -

    I suppose you mean f(x) = 14x - 0.2x^2.
    Please use an ^ before exponents.

    The function has a maximum value where the derivative is zero.
    f'(x) = 14 - 0.4 x = 0
    x = 14/.4 = 35

    If you don't know differential calculus yet, you can get the same result by "completing the square", but it takes longer, espcially with decimals involved.

  • math -

    Determine whether the system is consistent, inconsistent, or dependent.
    3x + 2y = 15
    6x + 4y = 30

  • math -


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