The revenue equation is given by:
R = –360p^2 + 28,800p
To find the maximum revenue that can be expected, we need to find the vertex of the parabola represented by this equation. The vertex of a parabola is given by the formula:
Vertex = (-b/2a, f(-b/2a))
where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.
In this case, a = -360 and b = 28,800.
The x-coordinate of the vertex is given by:
x = -b/2a = -28,800/(2*(-360)) = 40
Substituting x = 40 into the revenue equation gives:
R = –360(40)^2 + 28,800(40) = 576,000
Therefore, the maximum revenue that can be expected is $576,000.
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