document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=41605>Question 41605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> SAS Car Manufacturing estimates that its profit P in hundreds of dollars is P = -2x^2 + 20x -2 where x is the number of units produced in thousands.  How many units must be produced to obtain maximum profit?\r<BR>\n" );
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document.write( "Thanks for any help to understand this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #26880 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=26880\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P = -2x^2 + 20x -2 where x is the number of units produced in thousands.  How many units must be produced to obtain maximum profit?\r<BR>\n" );
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document.write( "The equation is a quadratic with a=-2, b=20, c=-2\r<BR>\n" );
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document.write( "The maximum for this function is at  x=-b/2a\r<BR>\n" );
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document.write( "-b/2a = -20/-4 = 5\r<BR>\n" );
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document.write( "5000 units must be produced to attain a maximum profit.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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