document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1095010>Question 1095010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The revenue function&#8203; R(x) and the cost function&#8203; C(x) for a particular product are given. These functions are valid only for the specified range of values. Find the number of units that must be produced to break even.<BR>\n" );
document.write( "R(x)=200x-2x^2; C(x)=-x^2+25x+4900, 0< or equal x <or equal 100.<BR>\n" );
document.write( "The manufacturer must produce _______ units to break even. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #709587 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=709587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> R(x)=200x-2x^2; C(x)=-x^2+25x+4900<BR>\n" );
document.write( "Set them equal to each other to break even.<BR>\n" );
document.write( "200x-2x^2=-x^2+25x+4900<BR>\n" );
document.write( "x^2-175x+4900=0<BR>\n" );
document.write( "(x-35)(x-140)=0<BR>\n" );
document.write( "x=35 or 140, but x cannot be greater than 100.<BR>\n" );
document.write( "check 35<BR>\n" );
document.write( "7000-2450=4550.<BR>\n" );
document.write( "-1225+875+4900=4550<BR>\n" );
document.write( "35 units ANSWER<BR>\n" );
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document.write( " </SPAN>\n" );
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