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A New Health Food Store Runs an Advertising Campaign S(x)=2500x+8500x+1S ( x ) = \frac { 2500 x + 8500 } { x + 1 }

question 66

Essay

A new health food store runs an advertising campaign. Daily sales (in dollars) after x days of advertising are given by S(x)=2500x+8500x+1S ( x ) = \frac { 2500 x + 8500 } { x + 1 } By sketching the graph of this function, answer the following questions. What is the horizontal asymptote of the graph?
What does this suggest about future sales? Explain your reasoning. If the advertising campaign costs $3200 per day, at
what point should it be discontinued? Why?

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Definitions:

Interaction

A process by which entities or individuals act upon and respond to each other, forming the basis of social relations and structures.

Universal Functionalism

A theory in sociology and anthropology that argues all aspects of a society serve a purpose and are necessary for the survival of that society.

Robert Merton

Robert Merton was an American sociologist known for developing notable theories including the strain theory and concepts such as self-fulfilling prophecy.

Social

Relating to society or its organization, highlighting aspects such as hierarchical structure, interactions, and collective behavior within a community.

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