An average of 40,000 people visit Riverside Park each day in the summer. The park charges $15.00 for admission. Consultants predict that for each $1.00 increase in the entrance price, the park would lose an average of 2,500 customers per day. Express the daily revenue from ticket sales, R as a function of the number of $1.00 price increases, x R=f(x)=  What ticket price maximizes the revenue from ticket sales?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Chapter3: Graphing Linear Functions
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An average of 40,000 people visit Riverside Park each day in the summer. The park charges $15.00 for admission. Consultants predict that for each $1.00 increase in the entrance price, the park would lose an average of 2,500 customers per day.

Express the daily revenue from ticket sales, R as a function of the number of $1.00 price increases, x
R=f(x)=

 What ticket price maximizes the revenue from ticket sales?

Expert Solution
Step 1

given that,

number of people =40000

ticket price=$15

and for each $1 increase in price,the park would lose 2500 customers

express the daily revenue from ticket sales,R as function of the number of $1 price increases x

and 

what ticket price maximizes the revenue?

 

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