To calculate the elasticity of demand $E(p)$, we will use the formula for price elasticity of demand:

$E(p) = \frac{p}{x} \cdot \frac{dx}{dp}$

Where:

• $p$ is the price in hundreds of dollars,
• $x$ is the quantity demanded per week,
• $\frac{dx}{dp}$ is the derivative of $x$ with respect to $p$.

First, we have the demand function given as:

$p = 6 - 0.02x$

We need to express this in terms of $x$. Solving for $x$ in terms of $p$:

[ p = 6 - 0.02x \quad \Rightarrow \quad 0.02x = 6 -