document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=864999>Question 864999</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 = &#8722;25x2 + 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( "Please demonstrate your solution for both the number of clerks that will maximize the profit as well as the total maximum profit possible, making sure to include all mathematical work and an explanation for each step.\r<BR>\n" );
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document.write( "Thank You<BR>\n" );
document.write( "Matt </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #521425 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=521425\">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 daily profit, P, is related to the number of clerks working that day, x, according to the function P = &#8722;25x^2 + 300x. What number of clerks will maximize the profit, and what is the maximum possible profit? <BR>\n" );
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document.write( "Since P is a parabola opening downward from (-b/(2a),f(-b/(2a)))<BR>\n" );
document.write( "# of clerks at the max is -b/(2a) = -300/(2(-25)) = 300/50 = 6<BR>\n" );
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document.write( "Max Profit = P(6) = -25(36)+300(6) = -900+1800 = $900<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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