# Marginal Revenue

The Marginal Revenue indicates the increase in revenue when the quantity increases a little bit.

## Example

Zoe's lemonade stand satisfies a demand characterized by: $$P = 10 - 2 Q$$

Her revenue is $$R \left( Q \right) = PQ = \left( 10 - 2 Q \right) Q = 10 Q - 2 Q^2$$

The marginal revenue is the derivative of the revenue R \left( Q \right): $$MR \left( Q \right) = \frac{d R \left( Q \right)}{d Q} = 10 - 2 \times 2 Q = 10 - 4 Q$$

### Question

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