A Manufacturer Has a Demand Function Q = $\sqrt { 100 - p ^ { 3 } }$

Short Answer

A manufacturer has a demand function q = $\sqrt { 100 - p ^ { 3 } }$ . Determine the elasticity of demand as a function of p.
Enter your answer exactly as $\frac{P ( p )}{Q ( p )}$
where P, Q are polynomials in p in standard form, and the leading coefficient of P is a reduced fraction of form $\frac { a } { b }$ .