A Small Theater Has a Seating Capacity of 2000 $R ( x ) = - 50 x ^ { 2 } + 2500 x , 10 \leq x \leq 20$

question 9

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 50.The revenue R of the theater as a function of ticket price x is as follows $R ( x ) = - 50 x ^ { 2 } + 2500 x , 10 \leq x \leq 20$ What ticket price will yield a maximum revenue?

• A)$55.00 ?
• B)$35.00 ?
• C)$25.00 ?
• D)$45.00 ?
• E)$65.00 ?

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Definitions:

Cognitive Development

The process of growth and change in intellectual capabilities that occur over the course of a person's life, influencing abilities in problem solving, learning, and reasoning.

Piaget's Stages

A theory of cognitive development that outlines how a child's ability to think progresses through four distinct stages.

Preoperational Stage

A stage in Piaget's theory, occurring roughly between the ages of 2 and 7, characterized by symbolic thinking, egocentrism, and a lack of logical reasoning.