document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1109607>Question 1109607</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that the manufacturer of a DVD player has found&#8203; that, when the unit price is p&#8203; dollars, the revenue R&#8203; (in dollars) as a function of the price p is <BR>\n" );
document.write( "R(p)=-2.5p^2+850p<BR>\n" );
document.write( " &#8203;(a)  For what price will the revenue be&#8203; maximized?<BR>\n" );
document.write( "&#8203;(b)  What is the maximum&#8203; revenue? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #724589 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=724589\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> R=-2.5p^2+850 p<BR>\n" );
document.write( "This is a quadratic where the vertex is the maximum value.<BR>\n" );
document.write( "vertex p value is -b/2a=-850/-2.5*2=+170 so $170 is price at maximum revenue<BR>\n" );
document.write( "R=-2.5*170^2+850*170<BR>\n" );
document.write( "=-72250+144500<BR>\n" );
document.write( "=$72,250<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-60%2C200%2C-100000%2C100000%2C-2.5x%5E2%2B850x%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-60%2C200%2C-100000%2C100000%2C-2.5x%5E2%2B850x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );