document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=319919>Question 319919</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The profit P (in dollars) generated by selling x units of a certain commodity is given by P(x) = -1500 +12x-0.0004x^2\r<BR>\n" );
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document.write( "a.  What is the maximum profit?\r<BR>\n" );
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document.write( "B.  How many units must be sold to generate it?   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #229883 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=229883\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can find the max. value by putting the equation into vertex form,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"a%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" >, by completing the square.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%28x%29+=-0.0004x%5E2+%2B12x-1500 ALIGN=MIDDLE  ALT=\"+P%28x%29+=-0.0004x%5E2+%2B12x-1500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=-0.0004%28x%5E2-30000x%29-1500 ALIGN=MIDDLE  ALT=\"P%28x%29=-0.0004%28x%5E2-30000x%29-1500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=-0.0004%28x%5E2-30000x%2B225000000%29-1500%2B90000 ALIGN=MIDDLE  ALT=\"P%28x%29=-0.0004%28x%5E2-30000x%2B225000000%29-1500%2B90000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=-0.0004%28x-15000%29%5E2%2B88500 ALIGN=MIDDLE  ALT=\"P%28x%29=-0.0004%28x-15000%29%5E2%2B88500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The minimum occurs at the vertex.<BR>\n" );
document.write( "a)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Pmax=88500 ALIGN=MIDDLE  ALT=\"Pmax=88500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Pmax ALIGN=MIDDLE  ALT=\"Pmax\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=15000 ALIGN=MIDDLE  ALT=\"x=15000\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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