The demand for a product can be approximated by $\displaystyle q=D(p) = 120 e^{-0.01 p}$, where $p$ represents the price of the product, in dollars, and $q$ is the quantity demanded.

(a) Find the elasticity function.

$E(p)=$

(b) Evaluate the elasticity at $11$.
$E(11)=$

(c) Should the unit price be raised slightly from $11$ dollars in order to increase revenue? ? yes no

(d) Use the elasticity of demand to find the price $p$ which maximizes revenue for this product.
$p=$ dollars per item
Round to three decimal places as needed.