Answer:
The maximum revenue that can be generated is $128.13
Step-by-step explanation:
we have
[tex]R(p)=-5.2p^{2}+65p-75[/tex]
where
R(p) represent the amount of revenue in dollars
p the product price
This is a vertical parabola open downward
The vertex represent a maximum
so
The y-coordinate of the vertex represent the maximum revenue that can be generated
Solve by graphing
using a graphing tool
Graph the quadratic equation
The vertex is the point (6.25,128.125)
see the attached figure
the y-coordinate of the vertex is 128.125
therefore
The maximum revenue that can be generated is $128.13
