Marginal revenue, and maximizing revenue & average revenue  Derivative Applications
Marginal revenue, and maximizing revenue & average revenue
Basic concepts:
 Power rule
 Critical number & maximum and minimum values
 Demand, revenue, cost & profit
Related concepts:
 Continuous money flow
Lessons
Notes:
Marginal Revenue (MR) is the additional revenue that is gained when you increase the unit by one. It is also the derivative of the revenue function. In other words,
$MR=R'(q)$
Average Revenue (AR) is the amount of revenue generated per unit. In other words,
$AR(q)=\frac{R(q)}{q}$
In this section, we would want to find the quantity $q$, which maximizes revenue and average revenue. To maximize revenue, we would want to solve for:
$MR=0$
To maximize average revenue, we would want to solve for:
$AR'(q)=0$

1.
Marginal Revenue, and Maximizing Revenue & Average Revenue Overview:

2.
Finding & Maximizing Revenue
Given the following information, find the marginal revenue and the value of $q$ which maximizes the revenue: 
3.
Finding & Maximizing Average Revenue
Given the following information, find the marginal average revenue and the value of $q$ which maximizes the average revenue: