In Planning a Sidewalk Cafe, It Is Estimated That If $\frac { 1 } { 4 }$

question 33

Multiple Choice

In planning a sidewalk cafe, it is estimated that if there are 28 tables, the daily profit will be $8 per table and that, if the number of tables is increased by x, the profit per table will be reduced by $\frac { 1 } { 4 }$ x dollars (due to overcrowding) . How many tables should be present in order to maximize the profit?

• A) 20
• B) 30
• C) 10
• D) can't do the problem without cost information

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Definitions:

Naphthalene

An aromatic hydrocarbon composed of two fused benzene rings, commonly found in mothballs and used in the production of dyes and plastics.

Aromatic

A class of hydrocarbons that contain one or more benzene rings in their molecular structure, known for their stability and fragrant properties.

Antiaromatic

Compounds that possess conjugated pi electron systems and are less stable due to their ring structure not fulfilling Hückel's rule for aromatic stability.

Nonaromatic

Compounds that are neither aromatic nor antiaromatic; they do not have delocalized pi electrons in a cyclic, conjugated system.