Solve the system using an equivalent system
1 answer:
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Answer:
To maximize the monthly rental profit, 90 units should be rented out.
The maximum monthly profit realizable is $38,200.
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
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.