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

question 13

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 $\frac { a } { b }$ .

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Definitions:

Ownership

The legal right or interest that an individual or entity has in an asset or property.

Corporate Form of Organization

A legal structure for a business recognized as a separate legal entity from its owners, providing limited liability protection, and able to raise capital through issuing shares.

Limited Liability

A legal structure that limits the amount of financial risk and liability to the amount a person has invested in a company.

Shareholders

Individuals or entities that own one or more shares of stock in a corporation, giving them certain rights and potential financial benefits based on the company's performance.