the quadratic function

r(p)= -5.2p^2 + 65p - 75

gives the amount of revenue r(p) in dollars generated by a product priced at p dollars.

question: what is the maximum revenue that can be generated?

The maximum revenue that can be generated is $128.13

Step-by-step explanation:

we have

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

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