document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=833705>Question 833705</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi, <BR>\n" );
document.write( "I was going through my math homework and i was wondering if you could help me with this problem…\r<BR>\n" );
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document.write( "A model for a company's revenue is R=-15p^2+300p+12,000 where P is the price in dollars of the company's product. What price will the maximum revenue? find the maximum revenue. \r<BR>\n" );
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document.write( "Thanks so much for your time and help! <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #502712 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=502712\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the p value for the vertex and then and use it to compute R.  You may also want to try completing the square to put R into standard form.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28P%3C%3Ep%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28P%3C%3Ep%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A process for finding p of the vertex:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15p%5E2%2B300p%2B12000=0 ALIGN=MIDDLE  ALT=\"-15p%5E2%2B300p%2B12000=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, because this is a way to find the p intercepts, assuming p is on a horizontal number line...<BR>\n" );
document.write( "Divide both sides by 15...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-p%5E2%2B20p%2B800=0 ALIGN=MIDDLE  ALT=\"-p%5E2%2B20p%2B800=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%28p%5E2-20p-800%29=0 ALIGN=MIDDLE  ALT=\"%28-1%29%28p%5E2-20p-800%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%28p-40%29%28p%2B20%29=0 ALIGN=MIDDLE  ALT=\"%28-1%29%28p-40%29%28p%2B20%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The p intercepts are -20 and 40.  The middle value of this is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%28-20%2B40%29%2F2=highlight%2810%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%28-20%2B40%29%2F2=highlight%2810%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This means that the vertex occurs at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28p=10%29 ALIGN=MIDDLE  ALT=\"highlight%28p=10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "The maximum revenue, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28R=-15%2A10%5E2%2B300%2A10%2B12000%29 ALIGN=MIDDLE  ALT=\"highlight%28R=-15%2A10%5E2%2B300%2A10%2B12000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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