document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168495>Question 168495</A>: <I><SPAN STYLE=\"word-break: break-all;\"> John owns a hotdog stand. his profit is represented by P(x)=-x^2+14x+54, with P(x) being profit and the x the number of hotdogs sold. What is the most he can earn? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124185 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=124185\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(x)=-x^2+14x+54<BR>\n" );
document.write( "Looking at the coefficient associated with the x^2 we see that it is negative.  This means that the vertex is the max.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The axis of symmetry is the line x = -b/2a<BR>\n" );
document.write( "x = -b/2a<BR>\n" );
document.write( "x = -14/2(-1)<BR>\n" );
document.write( "x = -14/(-2)<BR>\n" );
document.write( "x = 7<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Solving the equation P(x) when x=7:<BR>\n" );
document.write( "P(x)=-x^2+14x+54<BR>\n" );
document.write( "P(7)=-7^2+14(7)+54<BR>\n" );
document.write( "P(7)=-49+98+54<BR>\n" );
document.write( "P(7)=-49+152<BR>\n" );
document.write( "P(7)= $103<BR>\n" );
document.write( " </SPAN>\n" );
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