document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=585432>Question 585432</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ????\r<BR>\n" );
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document.write( "The Travel Time bus company has determined that when x tourists are given a particular bus<BR>\n" );
document.write( "tour, the profit P is given by\r<BR>\n" );
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document.write( "P(x) = –0.25 x2 + 29.50x – 170\r<BR>\n" );
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document.write( "(a) What is the company’s profit if 42 tourists are given the tour?<BR>\n" );
document.write( "(b) How many tourists should be given the tour in order to maximize the company’s profit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #373340 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=373340\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Travel Time bus company has determined that when x tourists are given a particular bus<BR>\n" );
document.write( "tour, the profit P is given by<BR>\n" );
document.write( "P(x) = –0.25 x^2 + 29.50x – 170<BR>\n" );
document.write( "(a) What is the company’s profit if 42 tourists are given the tour?<BR>\n" );
document.write( "set x = 42 and solve for P(42):<BR>\n" );
document.write( "P(42) = –0.25 (42)^2 + 29.50(42) – 170<BR>\n" );
document.write( "P(42) = –441 + 1239 – 170<BR>\n" );
document.write( "P(42) = 628<BR>\n" );
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document.write( "(b) How many tourists should be given the tour in order to maximize the company’s profit?<BR>\n" );
document.write( "Max is at the vertex:<BR>\n" );
document.write( "x = -b/(2a)<BR>\n" );
document.write( "x = -29.50/(2(–0.25))<BR>\n" );
document.write( "x = -29.50/(-0.5)<BR>\n" );
document.write( "x = 59 tourists<BR>\n" );
document.write( " </SPAN>\n" );
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