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A Manufacturer Has a Demand Function Q = 100p3\sqrt { 100 - p ^ { 3 } }

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A manufacturer has a demand function q = 100p3\sqrt { 100 - p ^ { 3 } } . Determine the elasticity of demand as a function of p.
Enter your answer exactly as P(p)Q(p)\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 ab\frac { a } { b } .


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