John Owns a Hotdog Stand $P ( x ) = - x ^ { 2 } + 14 x + 54$

question 516

Multiple Choice

John owns a hotdog stand. His profit is represented by the equation $P ( x ) = - x ^ { 2 } + 14 x + 54$ with P being profits and x the number of hotdogs sold. What is the most he can earn?

• A) $103
• B) $75
• C) $117
• D) $49

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Definitions:

Primary Amines

Organic compounds characterized by the presence of a \(NH_2\) group attached to a primary carbon atom, one that is only bonded to one other carbon.

Diazonium Salt

A class of organic compounds containing a nitrogen double bonded to a nitrogen atom which is also bonded to a benzene ring, significant in synthetic organic chemistry.

Nitrile

Organic compounds containing the cyano group (-C≡N), noted for their use in the production of rubber, resins, and pharmaceuticals.

Acid Chloride

A class of organic compounds derived from acids by replacing a hydroxyl group (-OH) with a chlorine atom, making them highly reactive.