The short term demand for a product can be approximated by $q=D(p)=250(150-p^2)$ where $p$ represents the price of the product, in dollars, and $q$ is the quantity demanded.
(a) Determine the elasticity function, $E(p)=$ .
(b) Use the elasticity of demand to find the price which maximizes revenue for this product $p=$ dollars.
Round to two decimal places.