document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=804792>Question 804792</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An airline transports about 800 people between Chicago and New York. A round-trip ticket is $300. It is estimated that with each $5 increase in ticket prices, 10 fewer passengers will fly the airline. What ticket price would maximize the income for the airline.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #484948 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=484948\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An airline transports about 800 people between Chicago and New York. A round-trip ticket is $300. It is estimated that with each $5 increase in ticket prices, 10 fewer passengers will fly the airline. What ticket price would maximize the income for the airline. <BR>\n" );
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document.write( "Revenue = price*#of passengers<BR>\n" );
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document.write( "R(x) = (300+5x)(800-10x)<BR>\n" );
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document.write( "R(x) = -50x^2 +1000x + 240000<BR>\n" );
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document.write( "Maximum revenue occurs when x = -b/(2a) = -1000/(-100)= 10<BR>\n" );
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document.write( "Price = 300+10*5 = $350 <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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