The given vertex and Focus are of a vertical parabola having an opening downward as the focus is in downward direction as the vertex.
Focus of the parabola can be written as :
where, h and k are coordinates of vertex
so,
So, the equation of parabola can be written as :
plug in the values ~
Answer:
The maximum possible daily profit is $11,500.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
It's vertex is the point
In which
If a<0, the vertex is a maximum point, that is, the maximum value happens at , and it's value is
In this question:
The maximum daily profit happens when cars are sold. This profit is
So
The maximum possible daily profit is:
The maximum possible daily profit is $11,500.
