document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114607>Question 1114607</A>: <I><SPAN STYLE=\"word-break: break-all;\">  APPROXIMATELY HOW MANY UNITS MUST BE MANUFACTURED TO MAXIMISE PROFITS DEFINED BY THE FUNCTION F(X) = -X^2 + 8X-16 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #729552 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39613)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=729552\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Notice the function is a perfect square trinomial!  The vertex (maximum point) occurs in <s>the exact middle of the two zeros of the function,..</s>. exactly one point.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If the function makes sense for a \"profit\".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-1%28x%5E2-8x%2B16%29 ALIGN=MIDDLE  ALT=\"f%28x%29=-1%28x%5E2-8x%2B16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-1%28x-4%29%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29=-1%28x-4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----vertex form for the parabola<BR>\n" );
document.write( "and the maximum is at the point,  (4,0).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Whatever is being manufactured is a money loser. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );