Answer:
(a) f(x) = 110x -x^2
(b) $55
Step-by-step explanation:
(a)
You figure out part (a) by following directions. Multiply (110 -x) by x. Use the distributive property to simplify it:
f(x) = 110x -x^2
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(b)
You know that the vertex of a parabola is on the line of symmetry, and that any two points with the same y-value are located symmetrically about that line. The function f(x) = x(110 -x) is zero for x=0 and for x=110. The vertex (maximum) of the function will be located halfway between these values, at ...
x = (0 +110)/2 = 55
She should charge $55 to maximize her revenue.
