document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183985>Question 183985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The National Gizmo Corporation calculates that its profit, in thousands of dollars, on the sale of x thousand gismos is given by p(x)= -2x^2 + 52x + 30. How many gizmos must be sold in order to earn a maximum profit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138030 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=138030\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p(x)= -2x^2 + 52x + 30<BR>\n" );
document.write( ".<BR>\n" );
document.write( "By inspection, looking at the leading coefficient 'a' (-2) we see that since it is NEGATIVE, it is a parabola that opens downward (negative/sad face).<BR>\n" );
document.write( ".<BR>\n" );
document.write( "That being said, the \"axis of symmetry\" should provide your answer.  To find it:<BR>\n" );
document.write( "-b/2a<BR>\n" );
document.write( "= -52/2(-2)<BR>\n" );
document.write( "= -52/-4<BR>\n" );
document.write( "= 13 thousands  </SPAN>\n" );
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