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25 June, 03:05

The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with the following function:

I=-425x^2+45500x-650000

According to this model, what is the maximum average annual income, in dollars, a lawyer can earn?

Round to the nearest whole dollar.

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Answers (1)
  1. 25 June, 03:14
    0
    I = - 425x^2 + 45500x - 650000

    For I to be maximum, dI/dx = 0

    dI/dx = - 850x + 45500 = 0

    x = 45500/850 = 53.53

    Therefore, maximum I = - 425 (53.53) ^2 + 45500 (53.53) - 650000 = 567,794.11

    Therefore, the maximum average annual income, in dollars, a lawyer can earn is $567,794
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Home » Mathematics » The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with the following function: I=-425x^2+45500x-650000 According to this model, what is the maximum average annual income, in dollars, a lawyer can earn?
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