A company that manufactures skateboards uses the function below to estimate f(x), its monthly revenue in dollars, based on x, the number of skateboards manufactured
each month.
f(x) = -0.01x + 45x - 2,400
Which is the best choice for the domain of f(x) in this situation?
all integers > 0
all real numbers
all integers
all real numbers > 0

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

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step-by-step explanation: