Example
The demand for cookies follows the following equation: `Q_D = 10 - 2P`.
Solving for P:
$$ \begin{align*} Q_D &= 10 - 2P \\ 2P &= 10 - Q_D \\ P &= \frac{10 - Q_D}{2} \end{align*} $$The inverse demand is `P = \frac{10 - Q_D}{2}`
Question
The demand for cookies follows the equation `Q_D = 450 - 30 P`.
What is the expression of the inverse demand function?
Let's transform the demand function into the inverse demand function.
$$ \begin{align*} Q_D &= 450 - 30 P \\ 30 P &= 450 - Q_D \\ P &= \frac{450 - Q_D}{30} \end{align*} $$The inverse demand function is `P = \frac{450 - Q_D}{30}`.