Answer:
To maximize the monthly rental profit, 90 units should be rented out.
The maximum monthly profit realizable is $38,200.
Explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
It's vertex is the point
In which
Where
If a<0, the vertex is a maximum point, that is, the maximum value happens at
, and it's value is
.
In this question:
Quadratic equation with
To maximize the monthly rental profit, how many units should be rented out?
This is the x-value of the vertex, so:
To maximize the monthly rental profit, 90 units should be rented out.
What is the maximum monthly profit realizable?
This is p(90). So
The maximum monthly profit realizable is $38,200.