document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=927621>Question 927621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> suppose that the manufacturer of a dvd player has found that, when the unit price is p dollars, the revenue r (in dollars) as a function of the price p is r(p)=-2.5p^2+550p. (a) for what price will the revenue be maximized? (b) what is the maximum revenue? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563108 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=563108\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When the form of the equation is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the<BR>\n" );
document.write( "value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where f(x) is a maximum<BR>\n" );
document.write( "occurs at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%28p%29+=+-2.5p%5E2+%2B+550p+ ALIGN=MIDDLE  ALT=\"+r%28p%29+=+-2.5p%5E2+%2B+550p+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p%5Bmax%5D+=+-550%2F%28-2.5%2A2%29+ ALIGN=MIDDLE  ALT=\"+p%5Bmax%5D+=+-550%2F%28-2.5%2A2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p%5Bmax%5D+=+550%2F5+ ALIGN=MIDDLE  ALT=\"+p%5Bmax%5D+=+550%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p%5Bmax%5D+=+110+ ALIGN=MIDDLE  ALT=\"+p%5Bmax%5D+=+110+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(a) <BR>\n" );
document.write( "At a price of $110 the revenue is maximized<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%28p%29+=+-2.5p%5E2+%2B+550p+ ALIGN=MIDDLE  ALT=\"+r%28p%29+=+-2.5p%5E2+%2B+550p+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5Bmax%5D+=+-2.5%2A110%5E2+%2B+550%2A110+ ALIGN=MIDDLE  ALT=\"+r%5Bmax%5D+=+-2.5%2A110%5E2+%2B+550%2A110+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5Bmax%5D+=+-30250+%2B+60500+ ALIGN=MIDDLE  ALT=\"+r%5Bmax%5D+=+-30250+%2B+60500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5Bmax%5D+=+30250+ ALIGN=MIDDLE  ALT=\"+r%5Bmax%5D+=+30250+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The maximum revenue is $30,250<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Here's a plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-50%2C+250%2C+-10000%2C+35000%2C+-2.5x%5E2+%2B+550x+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-50%2C+250%2C+-10000%2C+35000%2C+-2.5x%5E2+%2B+550x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );