document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154438>Question 1154438</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A charter flight charges a fare of​ $300 per person plus ​$6 per person for each unsold seat on the plane. If the plane holds 100 passengers and if x represents the number of unsold​ seats, find the following.\r<BR>\n" );
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document.write( "A. An expression for the total revenue received for the flight. ​(Hint​: Multiply the number of people​ flying, 100-​x, by the price per​ ticket.)\r<BR>\n" );
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document.write( "B. The number of unsold seats that will produce the maximum revenue.\r<BR>\n" );
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document.write( "C.The maximum revenue. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776889 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=776889\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A charter flight charges a fare of​ $300 per person plus ​$6 per person for each unsold seat on the plane.<BR>\n" );
document.write( " If the plane holds 100 passengers and if x represents the number of unsold​ seats, find the following.<BR>\n" );
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document.write( "A. An expression for the total revenue received for the flight. ​(Hint​: Multiply the number of people​ flying, 100-​x, by the price per​ ticket.<BR>\n" );
document.write( "total cost = cost per seat * no. of seats sold<BR>\n" );
document.write( "f(x) = (300+6x)*(100-x)<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "f(x) = 30000 - 300x + 600x - 6x^2<BR>\n" );
document.write( "f(x) = -6x^2 + 300x + 30000; is the revenue equation<BR>\n" );
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document.write( "B. The number of unsold seats that will produce the maximum revenue.<BR>\n" );
document.write( "Max will be on the axis of symmetry; x = -b/(2a), a=-6; b=300<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-300%29%2F%282%2A-6%29 ALIGN=MIDDLE  ALT=\"%28-300%29%2F%282%2A-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 25 seats unsold<BR>\n" );
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document.write( "C.The maximum revenue.<BR>\n" );
document.write( "no. of seats sold: 100-25 = 75<BR>\n" );
document.write( "seat cost: 300 + 6(25) = $450<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "75 * 450 = $33,750 is max revenue<BR>\n" );
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document.write( "Note: you can also substitute 25 for x in the original equation to get the max revenue </SPAN>\n" );
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