document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80109>Question 80109</A>: <I><SPAN STYLE=\"word-break: break-all;\"> maximum profit a chain store manager has been told by the main office that the daily profit P is related to the number of clerks working that day, x, according to the equation p=-25x^2+300x. what number of clerks will maxamize the profit, and what is the maximum possible profit?\r<BR>\n" );
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document.write( "are they wanting us to solve as a equation i am confused please give me step by step instructions so I can complete the rest of my problems  am freaking out </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57585 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=57585\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> maximum profit a chain store manager has been told by the main office that the daily profit P is related to the number of clerks working that day, x, according to the equation p=-25x^2+300x. what number of clerks will maxamize the profit, and what is the maximum possible profit?<BR>\n" );
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document.write( "p = -25x^2 + 300x is a quadratic equation so you can find the the max profit by<BR>\n" );
document.write( "finding the x value of the axis of symmetry and find the vertex with that:<BR>\n" );
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document.write( "Axis of symmetry formula: x = -b/(2a)<BR>\n" );
document.write( "In equation; p = -25x^2 + 300x, a = -25; b = 300<BR>\n" );
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document.write( "x = -300/(2*-25)<BR>\n" );
document.write( "x = -300/-50<BR>\n" );
document.write( "x = +6 clerks will maximize the profit<BR>\n" );
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document.write( "To find the max profit, substitute 6 for x 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 actual profit<BR>\n" );
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document.write( "A profit/clerk graph will look like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+15%2C+-100%2C+1000%2C+-25x%5E2+%2B+300x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+15%2C+-100%2C+1000%2C+-25x%5E2+%2B+300x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Notice the max occurs when x = 6 clerks which is the axis of symmetry and<BR>\n" );
document.write( "the vertex is the max profit of 900 </SPAN>\n" );
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