Solve
-Business People Are Concerned with Cost Functions, Revenue Functions $R ( x )$

question 106

Multiple Choice

Solve.
-Business people are concerned with cost functions, revenue functions, and profit functions. Suppose the revenue $R ( x )$ for $x$ units of a product can be described by $R ( x ) = 400 x$ , and the cost $C ( x )$ can be described by $C ( x ) = 2200 + 180 x$ . Find the profit $P ( x )$ for $x$ units.

• A) \(\mathrm { P } ( \mathrm { x } ) = 220 \mathrm { x } - 2200\)
• B) \(P ( x ) = \frac { 220 } { x } - 2200\)
• C) \(\mathrm { P } ( \mathrm { x } ) = 580 \mathrm { x } - 2200\)
• D) \(\mathrm { P } ( \mathrm { x } ) = 220 \mathrm { x } + 2200\)

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Definitions:

α-Halogenate

Refers to the introduction of a halogen atom (e.g., chlorine, bromine) into the alpha position of an organic molecule relative to a functional group.

Ketones

Organic compounds containing a carbonyl group (C=O) flanked by two carbon atoms, featured in various chemical reactions.

Aldehydes

Organic compounds characterized by the functional group -CHO, consisting of a carbonyl center bonded to hydrogen and an R group, used in various chemical syntheses.

Resonance Structures

Representations of a molecule or ion where the chemical connectivity is the same but the electrons are distributed differently around the structure.