document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=519666>Question 519666</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Please help me with this. The daily profit from the sale of a product is given by<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P=18x-0.2x%5E2-97 ALIGN=MIDDLE  ALT=\"+P=18x-0.2x%5E2-97\"   DISABLED_style= \"max-width:90%; height:auto;\" > dollars what is the maximum profit?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #345727 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=345727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Please help me with this. The daily profit from the sale of a product is given by<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P=18x-0.2x%5E2-97 ALIGN=MIDDLE  ALT=\"+P=18x-0.2x%5E2-97\"   DISABLED_style= \"max-width:90%; height:auto;\" > dollars what is the maximum profit?<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P=18x-0.2x%5E2-97 ALIGN=MIDDLE  ALT=\"+P=18x-0.2x%5E2-97\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "reordering:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P=-0.2x%5E2%2B18x-97 ALIGN=MIDDLE  ALT=\"+P=-0.2x%5E2%2B18x-97\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Because the coefficient associated with the x^2 term is negative, we know it is a parabola that opens downwards -- the vertex gives the max.<BR>\n" );
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document.write( "max x is at<BR>\n" );
document.write( "x = -b/(2a)<BR>\n" );
document.write( "x = -18/(2(-0.2))<BR>\n" );
document.write( "x = -18/(-0.4)<BR>\n" );
document.write( "x = 45<BR>\n" );
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document.write( "to find the max profit plug it back into:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P=-0.2x%5E2%2B18x-97 ALIGN=MIDDLE  ALT=\"+P=-0.2x%5E2%2B18x-97\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P=-0.2%2845%29%5E2%2B18%2845%29-97 ALIGN=MIDDLE  ALT=\"+P=-0.2%2845%29%5E2%2B18%2845%29-97\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P=308 ALIGN=MIDDLE  ALT=\"+P=308\"   DISABLED_style= \"max-width:90%; height:auto;\" > dollars\r<BR>\n" );
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