document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230350>Question 230350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need help to do this fraction \r<BR>\n" );
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document.write( "An airplane has a 200 seat capacity and is to be chartered for a transatlantic flight. The airplane cannot be chartered unless there are at least 150 passengers. the cost of a ticket is $540. the company agrees to reduce the price of a ticket by $2 for each ticket sold over 150 How many tickets nedd to be sold to miximize the companys income?\r<BR>\n" );
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document.write( "Additional tickets________________ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170570 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=170570\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An airplane has a 200 seat capacity and is to be chartered for a transatlantic flight. The airplane cannot be chartered unless there are at least 150 passengers. the cost of a ticket is $540. the company agrees to reduce the price of a ticket by $2 for each ticket sold over 150 How many tickets need to be sold to maximize the companys income? <BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "CI = unit price * # of units<BR>\n" );
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document.write( "CI = (540-2x)(150+x) where x is the number of tickets sold over 150.<BR>\n" );
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document.write( "CI = 81000 +540x -300x -2x^2<BR>\n" );
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document.write( "CI = -2x^2 + 240x + 81000<BR>\n" );
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document.write( "Maximum CI occurs when x = -b/2a = -240/(-4) = 60<BR>\n" );
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document.write( "Number of tickets that need to be sold to maximize CI is 150+60 = 210<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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