document.write( "Question 1193232: An amusement park usually charges $34 per ticket and averages 500 visitors per day. A study shows that if the park raises its
\n" ); document.write( "price by $1 per ticket, it will lose 125 visitors per day. What price should the park charge per ticket, to maximize the
\n" ); document.write( "revenue?
\n" ); document.write( "Create an equation to solve this problem. Include appropriate “Let” statements to define your variables. \n" ); document.write( "
Algebra.Com's Answer #825268 by ankor@dixie-net.com(22740)\"\" \"About 
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An amusement park usually charges $34 per ticket and averages 500 visitors per day.
\n" ); document.write( " A study shows that if the park raises its price by $1 per ticket, it will lose 125 visitors per day.
\n" ); document.write( " What price should the park charge per ticket, to maximize the revenue?
\n" ); document.write( ":
\n" ); document.write( "let x = no. of dollars per ticket raised
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\n" ); document.write( "Revenue = ticket price * no. of visitors
\n" ); document.write( "R(x) = (34+x)(500-125x)
\n" ); document.write( "FOIL
\n" ); document.write( "R(x) = 17000 - 4250x + 500x - 125x^2
\n" ); document.write( "Arrange as a quadratic equation, R(x) = y
\n" ); document.write( "y = -125x^2 - 3750x + 17000
\n" ); document.write( "Find the Axis of symmetry using x = -b/(2a), where b=-3750, a=-125
\n" ); document.write( ":
\n" ); document.write( "It's obvious that his would not be a good business decision.
\n" ); document.write( "If you raised it 1 dollar and lost 125 visitors, the revenue would go down from 17000 to 13125 (35*375) \n" ); document.write( "
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