document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=722684>Question 722684</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Maximum Profit:  A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the function P = -25x^(2) + 300x.  What number of clerks will maximize the profit, and what is the maximum possible profit?\r<BR>\n" );
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document.write( "1. Could you please explain and provide solutions to the above problem?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #442967 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=442967\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> daily profit, P, is related to the number of clerks working that day, x,<BR>\n" );
document.write( " according to the function P = -25x^(2) + 300x.<BR>\n" );
document.write( " What number of clerks will maximize the profit,<BR>\n" );
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document.write( "this is a quadratic equation with a neg coefficient of x^2,<BR>\n" );
document.write( " so we know that the max is on the axis of symmetry<BR>\n" );
document.write( "The formula for the axis of symmetry; x = -b/(2a), in this equation<BR>\n" );
document.write( "a = -25, b = 300<BR>\n" );
document.write( "so we have<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-300%29%2F%282%2A-25%29 ALIGN=MIDDLE  ALT=\"%28-300%29%2F%282%2A-25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = +6 clerks for max profit<BR>\n" );
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document.write( "\"and what is the maximum possible profit?<BR>\n" );
document.write( "Replace x with 6 in the original equation<BR>\n" );
document.write( "p = -25(6^2) + 300(6)<BR>\n" );
document.write( "p = -25(36) + 1800<BR>\n" );
document.write( "p = -900 + 1800<BR>\n" );
document.write( "p = $900 is the max profit   </SPAN>\n" );
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