Question

The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with the following function: I=-425x²+45,500x-650,000 According to this model, at what average age do lawyers earn their maximum average annual income? Round to the nearest year. @Mathematics

Answer 1

Answer:27

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Answer 2

dI/dx=-850x+45500

d2l/d2x=-850 so when dl/dx=0 it is an absolute maximum for l(x)...

dl/dx=0 only when:

850x=45500

x=53.53

x=54 years of age (rounded)