document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=940049>Question 940049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PROFIT ANALYSIS A consultant hired by a small manufactur-<BR>\n" );
document.write( "ing company informs the company owner that their annual pro&#64257;t<BR>\n" );
document.write( "can be modeled by the function P(x) = -1.2x2 + 62.5x - 491<BR>\n" );
document.write( "where x represents the number of employees and P is pro&#64257;t in thou-<BR>\n" );
document.write( "sands of dollars. How many employees should the company have to<BR>\n" );
document.write( "maximize annual pro&#64257;t? What is the maximum annual pro&#64257;t they<BR>\n" );
document.write( "can expect in that case? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #572872 by </B><A HREF=/tutors/aboutme.mpl?userid=srinivas.g><B>srinivas.g(540)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=srinivas.g><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=srinivas.g><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=572872\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p%28x%29=+-1.2x%5E2%2B62.5+x+-491 ALIGN=MIDDLE  ALT=\"+p%28x%29=+-1.2x%5E2%2B62.5+x+-491\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( " where x represents the number of employees and P is pro&#64257;t in thou-<BR>\n" );
document.write( "sands of dollars.<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dp%28x%29%2Fdx++=+%28d%2Fdx%29%2A+%28-1.2x%5E2%2B62.5x-491%29 ALIGN=MIDDLE  ALT=\"dp%28x%29%2Fdx++=+%28d%2Fdx%29%2A+%28-1.2x%5E2%2B62.5x-491%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "      =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2A1.2x%2B62.5 ALIGN=MIDDLE  ALT=\"-2%2A1.2x%2B62.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "     = -2.4x+62.5<BR>\n" );
document.write( "make <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+dp%28x%29%2Fdx++=0 ALIGN=MIDDLE  ALT=\"+dp%28x%29%2Fdx++=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find x where p(x) becomes maximum<BR>\n" );
document.write( "     -2.4x +62.5  =0<BR>\n" );
document.write( "      move -2.4 to the right<BR>\n" );
document.write( "   62.5  = 2.4 x<BR>\n" );
document.write( "   divide with 2.4 on both sides<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+62.5%2F2.4++=2.4+x%2F2.4+ ALIGN=MIDDLE  ALT=\"+62.5%2F2.4++=2.4+x%2F2.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   x= 26<BR>\n" );
document.write( " No of employees  = 26 <BR>\n" );
document.write( " Max profit , P(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1.2%2A+26%5E2+%2B62.5+%2A+26-491 ALIGN=MIDDLE  ALT=\"+-1.2%2A+26%5E2+%2B62.5+%2A+26-491\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "               p(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-811.2%2B1625-491 ALIGN=MIDDLE  ALT=\"-811.2%2B1625-491\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "                    = 322.8  thousands dollars<BR>\n" );
document.write( "               =   $ 322800 <BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );