A Small Theater Has a Seating Capacity of 2000 $R ( x ) = 125 x ^ { 2 } + 3000 x , 16 \leq x \leq 20$

question 40

Multiple Choice

A small theater has a seating capacity of 2000.When the ticket price is $20,attendance is 1500.For each $1 decrease in price,attendance increases by 125.Write the revenue R of the theater as a function of ticket price x. ?

• A) \(R ( x ) = 125 x ^ { 2 } + 3000 x , 16 \leq x \leq 20\)
• B) \(R ( x ) = - 125 x ^ { 2 } + 1000 x , 16 \leq x \leq 20\)
• C) \(R ( x ) = - 125 x ^ { 3 } + 500 x , 16 \leq x \leq 20\)
• D) \(R ( x ) = - 125 x ^ { 2 } - 350 x , 16 \leq x \leq 20\)
• E) \(R ( x ) = - 125 x ^ { 2 } + 4000 x , 16 \leq x \leq 20\)

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Definitions:

Trading Portfolio

A collection of financial assets such as stocks, bonds, commodities, currencies, and derivatives, actively managed and traded to achieve short-term financial gains.

Fair Value Adjustment

A financial process that alters the reported value of an asset or liability to reflect its current market value.

Common Stock C

A classification of common stock that may have specific rights, privileges, or restrictions compared to other classes.

Gain on Sale

The financial profit realized from the sale of an asset, which exceeds its purchase price.