**Marginal Profit** (MP) is the additional profit that is gained when you increase the unit by one. It is also the derivative of the profit function. In other words,

**Average Profit** (AP) is the amount of profit generated per unit. In other words,

In this section, we would want to find the quantity $q$, which maximizes profit and average profit. To maximize profit, we would want to solve for:

To maximize average profit, we would want to solve for: